Works (68)

Updated: April 5th, 2024 05:27

2023 article

A parallel p-adaptive discontinuous Galerkin method for the Euler equations with dynamic load-balancing on tetrahedral grids

Li, W., Pandare, A. K., Luo, H., Bakosi, J., & Waltz, J. (2023, August 21). INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS.

author keywords: adaptivity; compressible flow; discontinuous Galerkin; Euler flow; mesh adaptation; parallelization
TL;DR: It is observed that the unbalanced load distribution caused by the parallel p‐adaptive DG method can be alleviated by the dynamic load balancing from Charm++ system, which can significantly reduce the total simulation time in comparison to the standard DG method without p‐ adaptation. (via Semantic Scholar)
Source: Web Of Science
Added: September 5, 2023

2023 journal article

On the design of stable, consistent, and conservative high-order methods for multi-material hydrodynamics

JOURNAL OF COMPUTATIONAL PHYSICS, 490.

author keywords: Non -equilibrium multi -material; High -order methods; Stability; Consistency
Source: Web Of Science
Added: August 7, 2023

2022 journal article

A reconstructed discontinuous Galerkin method based on variational formulation for compressible flows

JOURNAL OF COMPUTATIONAL PHYSICS, 466.

By: L. Li n, X. Liu* & H. Luo n

author keywords: ReconstructeddiscontinuousGalerkin; Variationalreconstruction; High-order; Compactreconstruction; Interfacialjumpintegration
Source: Web Of Science
Added: August 1, 2022

2022 journal article

A vertex-centered finite volume method with interface sharpening technique for compressible two-phase flows

JOURNAL OF COMPUTATIONAL PHYSICS, 460.

author keywords: Six-equation model; Compressible two-phase flow; Multi-fluid; Interface sharpening; Vertex-centered
Source: Web Of Science
Added: February 20, 2023

2021 journal article

A moving discontinuous Galerkin finite element method with interface condition enforcement for compressible flows

JOURNAL OF COMPUTATIONAL PHYSICS, 445.

By: H. Luo n, G. Absillis n & R. Nourgaliev*

author keywords: Discontinuous Galerkin methods; Moving grid methods; Conservation laws; Discontinuity tracking and fitting; Nonlinear least-squares problem
TL;DR: Numerical results obtained indicate that the MDG+ICE method is able to implicitly detect and track all types of discontinuities via interface conservation enforcement and satisfy the conservation law on both elements and interfaces via grid movement and grid management, demonstrating that an exponential rate of convergence for Sod and Lax-Harden shock tube problems can be achieved. (via Semantic Scholar)
Source: Web Of Science
Added: October 12, 2021

2021 journal article

A reconstructed discontinuous Galerkin method for compressible flows on moving curved grids

ADVANCES IN AERODYNAMICS, 3(1).

By: C. Wang n & H. Luo n

author keywords: Arbitrary Lagrangian-Eulerian; Reconstructed discontinuous Galerkin; High-order; ESDIRK3; Radial basis function; Navier-Stokes
TL;DR: The numerical experiments indicate that the developed rDG method can attain the designed spatial and temporal orders of accuracy, and the RBF method is effective and robust to avoid excessive distortion and invalid elements near moving boundaries. (via Semantic Scholar)
Source: Web Of Science
Added: September 13, 2021

2021 journal article

Reconstructed discontinuous Galerkin methods for compressible flows based on a new hyperbolic Navier-Stokes system

JOURNAL OF COMPUTATIONAL PHYSICS, 427.

By: L. Li n, J. Lou n, H. Nishikawa* & H. Luo n

author keywords: Reconstructed discontinuous Galerkin methods; Variational reconstruction; Hyperbolic Navier-Stokes equations; First-order hyperbolic system
TL;DR: Numerical experiments demonstrate that the developed HNS+rDG methods are able to achieve the designed order of accuracy for both primary variables and the their gradients, and provide an attractive and viable alternative for solving the compressible Navier-Stokes equations. (via Semantic Scholar)
Source: Web Of Science
Added: March 15, 2021

2019 journal article

An enhanced AUSM(+)-up scheme for high-speed compressible two-phase flows on hybrid grids

SHOCK WAVES, 29(5), 629–649.

By: A. Pandare n, H. Luo n & J. Bakosi*

author keywords: Two-fluid model; Shock waves; Material interfaces; AUSM
Source: Web Of Science
Added: July 8, 2019

2019 journal article

An updated Lagrangian discontinuous Galerkin hydrodynamic method for gas dynamics

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 78(2), 258–273.

By: T. Wu n, M. Shashkov*, N. Morgan*, D. Kuzmin* & H. Luo n

author keywords: Lagrangian; Hydrodynamics; Discontinuous Galerkin; Limiters
TL;DR: This new Lagrangian discontinuous Galerkin (DG) hydrodynamic method conserves mass, momentum, and total energy, and two new limiting methods are presented for enforcing the bounds on the primitive variables of density, velocity, and specific internal energy. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Source: Web Of Science
Added: July 8, 2019

2019 journal article

Reconstructed Discontinuous Galerkin Methods for Hyperbolic Diffusion Equations on Unstructured Grids

COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 25(5), 1302–1327.

By: J. Lou, X. Liu*, H. Luo* & H. Nishikawa

author keywords: Discontinuous Galerkin methods; first-order hyperbolic system; unstructured grids
TL;DR: Numerical experiments demonstrate that the developed hyperbolic rDG methods are able to achieve the designed optimal order of accuracy for both solutions and their derivatives on regular, irregular, and heterogeneous girds, and outperform the BR2 method in terms of the magnitude of the error. (via Semantic Scholar)
Source: Web Of Science
Added: February 4, 2019

2019 article

Robust Implicit Direct Discontinuous Galerkin Method for Simulating the Compressible Turbulent Flows

Xiaoquan, Y., Cheng, J., Luo, H., & Zhao, Q. (2019, March). AIAA JOURNAL, Vol. 57, pp. 1113–1132.

TL;DR: A robust and accurate implicit direct discontinuous Galerkin (DDG) method for simulating laminar and turbulent flows and the Reynolds averaged Navier–Stokes (RANS) equations couple. (via Semantic Scholar)
Source: Web Of Science
Added: March 18, 2019

2019 article

Second memorial issue in honor of Dr. Meng-Sing Liou

Chang, C.-H., & Luo, H. (2019, November). SHOCK WAVES, Vol. 29, pp. 1007–1008.

By: C. Chang & H. Luo n

Source: Web Of Science
Added: December 9, 2019

2018 journal article

A reconstructed direct discontinuous Galerkin method for simulating the compressible laminar and turbulent flows on hybrid grids

COMPUTERS & FLUIDS, 168, 216–231.

author keywords: Direct discontinuous Galerkin; Hybrid least-squares reconstructed direct; discontinuous Galerkin; Laminar flow; Compressible flows
TL;DR: The hybrid reconstructed direct discontinuous Galerkin method demonstrates its superior potential of being more accurate and more efficient under the same number of degrees of freedom, thus, shows its promise for further practical applications. (via Semantic Scholar)
UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2018 journal article

A reconstructed discontinuous Galerkin method for compressible turbulent flows on 3D curved grids

COMPUTERS & FLUIDS, 160, 26–41.

By: X. Liu n, Y. Xia* & H. Luo n

author keywords: Discontinuous Galerkin; WEND; RANS; Curved elements
TL;DR: A third-order accurate reconstructed discontinuous Galerkin method, namely rDG(P1P2), is presented to solve the Reynolds-Averaged Navier–Stokes (RANS) equations, along with the modified one-equation model of Spalart and Allmaras on 3D curved grids. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2018 journal article

A robust and efficient finite volume method for compressible inviscid and viscous two-phase flows

JOURNAL OF COMPUTATIONAL PHYSICS, 371, 67–91.

By: A. Pandare n & H. Luo n

author keywords: Two-fluid model; Six equation; All-speed methods
TL;DR: A transformation from conservative variables to primitive variables is presented and the primitive variables are solved in the implicit method in order for the current finite volume method to be able to solve, effectively and efficiently, low Mach number flows in traditional multiphase applications, which otherwise is a great challenge for the standard density-based algorithms. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2018 journal article

Application of nonlinear Krylov acceleration to a reconstructed discontinuous Galerkin method for compressible flows

COMPUTERS & FLUIDS, 163, 32–49.

By: C. Wang n, J. Cheng*, M. Berndt*, N. Carlson* & H. Luo n

author keywords: Nonlinear Krylov acceleration; Reconstructed discontinuous Galerkin; ESDIRK; Compressible flows; Euler equations; Navier-Stokes
Source: Web Of Science
Added: August 6, 2018

2018 journal article

Cell-centered high-order hyperbolic finite volume method for diffusion equation on unstructured grids

JOURNAL OF COMPUTATIONAL PHYSICS, 355, 464–491.

By: E. Lee*, H. Ahn* & H. Luo n

author keywords: Hyperbolic formulation; Cell-centered finite volume; Diffusion equation; k-exact solution reconstruction; Unstructured grids
TL;DR: Thehyperbolic method can be an effective solution technique for diffusion problems, but instability is also observed for the discontinuous diffusion coefficient cases, which brings necessity for further investigation about the monotonicity preserving hyperbolic diffusion method. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2018 journal article

Reconstructed discontinuous Galerkin methods for linear advection-diffusion equations based on first-order hyperbolic system

JOURNAL OF COMPUTATIONAL PHYSICS, 369, 103–124.

By: J. Lou n, L. Li n, H. Luo n & H. Nishikawa*

author keywords: Reconstructed Discontinuous Galerkin methods; First-order hyperbolic system; Advection-diffusion equations; Unstructured grids
TL;DR: Numerical experiments demonstrate that the newly developed hyperbolic rDG methods are able to achieve the designed optimal order of accuracy for both solutions and their derivatives on regular, irregular, and heterogeneous grids, indicating that the developed hyperBolic rG methods provide an attractive and probably an even superior alternative for solving the linear advection–diffusion equations. (via Semantic Scholar)
UN Sustainable Development Goal Categories
16. Peace, Justice and Strong Institutions (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2017 journal article

A Parallel, High-Order Direct Discontinuous Galerkin Methods for the Navier-Stokes Equations on 3D Hybrid Grids

COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 21(5), 1231–1257.

By: J. Cheng*, X. Liu n, T. Liu* & H. Luo n

author keywords: Direct discontinuous Galerkin method; compressible Navier-Stokes equations; hybrid grids
TL;DR: The numerical results obtained indicate that theDDG method can achieve the designed order of accuracy and is able to deliver comparable results as the widely used BR2 scheme, clearly demonstrating that the DDG method provides an attractive alternative for solving the 3D compressible Navier-Stokes equations. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2017 journal article

A reconstructed discontinuous Galerkin method for the compressible Navier-Stokes equations on three-dimensional hybrid grids

COMPUTERS & FLUIDS, 152, 217–230.

By: X. Liu n, L. Xuan n, Y. Xia* & H. Luo n

author keywords: Discontinuous Galerkin method; WENO reconstruction; Unstructured grids; Compressible Navier-Stokes equation
TL;DR: The numerical results demonstrate that the rDG(P 1 P 2 ) method is able to achieve the designed third-order of accuracy at a cost slightly higher than its underlying second-order DG method, outperform the third order DG method in terms of both computing costs and storage requirements, and obtain reliable and accurate solutions to the direct numerical simulation (DNS) of compressible turbulent flows. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2017 conference paper

Sensitivity analysis of interfacial momentum closure terms in two phase flow and boiling simulations using MCFD solver

ASME 2017 Heat Transfer Summer Conference, HT 2017, 2.

By: Y. Liu n, C. Rollins n, N. Dinh n & H. Luo n

Contributors: Y. Liu n, C. Rollins n, N. Dinh n & H. Luo n

Sources: NC State University Libraries, ORCID, NC State University Libraries
Added: August 6, 2018

2016 journal article

A Comparative Study of Rosenbrock-Type and Implicit Runge-Kutta Time Integration for Discontinuous Galerkin Method for Unsteady 3D Compressible Navier-Stokes equations

COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 20(4), 1016–1044.

By: X. Liu n, Y. Xia*, H. Luo n & L. Xuan n

author keywords: Implicit time integration; Rosenbrock-Wanner; discontinuous Galerkin; WENO; Navier-Stokes
TL;DR: Numerical experiments demonstrate that the third-order ROW scheme for the DAEs of index-2 can not only achieve the designed formal order of temporal convergence accuracy in a benchmark test, but also require significantly less computing time than its ESDIRK3 counterpart to converge to the same level of discretization errors. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2016 journal article

A direct discontinuous Galerkin method for the compressible Navier-Stokes equations on arbitrary grids

JOURNAL OF COMPUTATIONAL PHYSICS, 327, 484–502.

By: J. Cheng*, X. Yang, X. Liu n, T. Liu* & H. Luo n

author keywords: Direct discontinuous Galerkin method; Compressible Navier-Stokes equations; Arbitrary grids
TL;DR: A Direct Discontinuous Galerkin (DDG) method for solving the compressible NavierStokes equations on arbitrary grids is developed and is able to deliver the same accuracy as the widely used BR2 method at a significantly reduced cost. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2016 journal article

A hybrid incremental projection method for thermal-hydraulics applications

JOURNAL OF COMPUTATIONAL PHYSICS, 317, 382–404.

By: M. Christon*, J. Bakosi*, B. Nadiga*, M. Berndt*, M. Francois*, A. Stagg*, Y. Xia*, H. Luo n

author keywords: FVM; FEM; Incompressible flow; Monotonicity-preserving advection; Projection method; Mixed-topology meshes; Thermal-hydraulics
TL;DR: A new second-order accurate, hybrid, incremental projection method for time-dependent incompressible viscous flow that circumvents the well-known Ladyzhenskaya-Babuska-Brezzi conditions for stability, and does not require special treatment to filter pressure modes by either Rhie-Chow interpolation or a Petrov-Galerkin finite element formulation. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2016 journal article

A hybrid reconstructed discontinuous Galerkin and continuous Galerkin finite element method for incompressible flows on unstructured grids

JOURNAL OF COMPUTATIONAL PHYSICS, 322, 491–510.

By: A. Pandare* & H. Luo*

author keywords: Reconstructed discontinuous Galerkin; Incompressible flows; Projection method
TL;DR: Numerical experiments indicate that both rDG ( P 0 P 1 ) + CG (P 1 ) and rDGs ( P 1 P 2 ) +CG ( P1 ) methods can attain the designed 2nd order and 3rd order accuracy in space for the velocity respectively. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2016 journal article

A hybrid reconstructed discontinuous Galerkin method for compressible flows on arbitrary grids

COMPUTERS & FLUIDS, 139, 68–79.

By: J. Cheng*, T. Liu* & H. Luo n

author keywords: Reconstructed methods; Discontinuous Galerkin methods; Arbitrary grids
TL;DR: The numerical experiments demonstrate that all three reconstructed discontinuous Galerkin methods can significantly improve the accuracy of the underlying second-order DG method, although the least-squares reconstruction method provides the best performance in terms of both accuracy, efficiency, and robustness. (via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2016 journal article

A reconstructed discontinuous Galerkin method for magnetohydrodynamics on arbitrary grids

JOURNAL OF COMPUTATIONAL PHYSICS, 326, 258–277.

By: B. Halashi n & H. Luo n

author keywords: Discontinuous Galerkin; Magnetohydrodynamics; HLLD Riemann solver; Arbitrary grid; HWENO
TL;DR: Numerical experiments indicate that the rDG(P1P2) method is able to capture shock waves sharply essentially without any spurious oscillations, and achieve the designed third-order of accuracy: one order accuracy higher than the underlying DG method. (via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2016 journal article

Assessment of a hybrid finite element and finite volume code for turbulent incompressible flows

JOURNAL OF COMPUTATIONAL PHYSICS, 307, 653–669.

By: Y. Xia*, C. Wang n, H. Luo n, M. Christon* & J. Bakosi*

author keywords: Incompressible flow; Turbulence model; RANS; LES
TL;DR: A comprehensive study to verify and validate the turbulence models in Hydra-TH to meet the design requirements of the Consortium for Advanced Simulation of Light Water Reactors (CASL). (via Semantic Scholar)
UN Sustainable Development Goal Categories
6. Clean Water and Sanitation (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2016 journal article

Fully-implicit orthogonal reconstructed Discontinuous Galerkin method for fluid dynamics with phase change

JOURNAL OF COMPUTATIONAL PHYSICS, 305, 964–996.

By: R. Nourgaliev*, H. Luo n, B. Weston*, A. Anderson*, S. Schofield*, T. Dunn*, J. Delplanque*

author keywords: Discontinuous Galerkin method; High-order space-time discretization; Fully-implicit solvers; Newton-Krylov algorithm; Fluid dynamics; Phase-change
TL;DR: A new reconstructed Discontinuous Galerkin (rDG) method, based on orthogonal basis/test functions, is developed for fluid flows on unstructured meshes, focusing on the method's accuracy, robustness and solvability of the system of linear equations involved in the linearization steps of Newton-based methods. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2015 chapter

A Hierarchical WENO Reconstructed Discontinuous Galerkin Method for Computing Shock Waves

In 29th International Symposium on Shock Waves 2 (pp. 951–956).

By: Y. Xia n, M. Frisbey n & H. Luo n

TL;DR: The discontinuous Galerkin (DG) methods have recently become popular for the solution of systems of conservation laws because of their several attractive features such as easy extension to and compact stencil for higher-order (> 2nd) approximation, flexibility in handling arbitrary types of grids for complex geometries, and amenability to parallelization and hp-adaptation. (via Semantic Scholar)
UN Sustainable Development Goal Categories
13. Climate Action (OpenAlex)
Source: Crossref
Added: February 24, 2020

2015 journal article

A fine-grained block ILU scheme on regular structures for GPGPUs

COMPUTERS & FLUIDS, 119, 149–161.

By: L. Luo n, J. Edwards n, H. Luo n & F. Mueller n

author keywords: Block ILU; Block-sparse linear systems; Wavefront scheme; GPGPU; OpenACC; CUDA
TL;DR: A fine-grained BILU (FGBILU) scheme which is particularly effective on GPGPUs and has been implemented with both OpenACC and CUDA and tested as a block-sparse linear solver on a structured 3D grid. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2015 journal article

A third-order implicit discontinuous Galerkin method based on a Hermite WENO reconstruction for time-accurate solution of the compressible Navier-Stokes equations

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 79(8), 416–435.

By: Y. Xia*, X. Liu n, H. Luo n & R. Nourgaliev*

author keywords: discontinuous Galerkin; WENO; compressible Navier-Stokes; unsteady flows; implicit Runge-Kutta
Source: Web Of Science
Added: August 6, 2018

2015 journal article

OpenACC acceleration of an unstructured CFD solver based on a reconstructed discontinuous Galerkin method for compressible flows

International Journal for Numerical Methods in Fluids, 78(3), 123–139.

By: Y. Xia n, J. Lou n, H. Luo n, J. Edwards n & F. Mueller n

author keywords: GPU computing; OpenACC; CUDA; discontinuous Galerkin; compressible flow; Navier-Stokes equations
TL;DR: The numerical results indicate that this OpenACC‐based parallel scheme is an effective and extensible approach to port unstructured high‐order CFD solvers to GPU computing. (via Semantic Scholar)
Sources: Crossref, Web Of Science
Added: August 6, 2018

2014 journal article

A set of parallel, implicit methods for a reconstructed discontinuous Galerkin method for compressible flows on 3D hybrid grids

COMPUTERS & FLUIDS, 98, 134–151.

By: Y. Xia n, H. Luo n, M. Frisbey n & R. Nourgaliev*

author keywords: Discontinuous Galerkin; Hierarchical WENO reconstruction; Implicit methods; Automatic differentiation; Parallel computing
TL;DR: A set of implicit methods for a third-order hierarchical WENO reconstructed discontinuous Galerkin method for compressible flows on 3D hybrid grids and an SPMD programming paradigm based on MPI is proposed to achieve parallelism. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2014 journal article

An implicit Hermite WENO reconstruction-based discontinuous Galerkin method on tetrahedral grids

COMPUTERS & FLUIDS, 96, 406–421.

By: Y. Xia n, H. Luo n & R. Nourgaliev*

author keywords: Discontinuous Galerkin; Reconstruction method; WENO; Compressible flows; Implicit method; Tetrahedral grids
TL;DR: An Implicit Reconstructed Discontinuous Galerkin method, IRDG (P1P2), is presented for solving the compressible Euler equations on tetrahedral grids and it is found that a well approximated Jacobian matrix is essential for the IRDD method to achieve fast converging speed and maintain robustness on large-scale problems. (via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2013 journal article

A reconstructed discontinuous Galerkin method based on a Hierarchical WENO reconstruction for compressible flows on tetrahedral grids

Journal of Computational Physics, 236, 477–492.

author keywords: Discontinuous Galerkin method; WENO reconstruction; Unstructured grids
TL;DR: The numerical experiments indicate that the HWENO (P"1P"2) method is able to capture shock waves within one cell without any spurious oscillations, and achieve the designed third-order of accuracy: one order accuracy higher than the underlying DG method. (via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities (OpenAlex)
Sources: Web Of Science, Crossref
Added: August 6, 2018

2012 journal article

A Hermite WENO reconstruction-based discontinuous Galerkin method for the Euler equations on tetrahedral grids

JOURNAL OF COMPUTATIONAL PHYSICS, 231(16), 5489–5503.

author keywords: Discontinuous Galerkin method; Hermite WENO reconstruction; Compressible Euler equations; Tetrahedral grids
TL;DR: The numerical experiments demonstrate that the developed RDG(P"1P"2) method is able to maintain the linear stability, achieve the designed third-order of accuracy: one order accuracy higher than the underlying DG method without significant increase in computing costs and storage requirements. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2012 journal article

A Reconstructed Discontinuous Galerkin Method for the Euler Equations on Arbitrary Grids

COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 12(5), 1495–1519.

By: H. Luo n, L. Luo n & R. Nourgaliev*

author keywords: Discontinuous Galerkin methods; least-squares reconstruction; compressible Euler equations
TL;DR: A reconstruction-based discontinuous Galerkin (RDG(P1P2) method) is presented for the solution of the compressible Euler equations on arbitrary grids, and outperforms the third-order DG method (DG( P2)) in terms of both computing costs and storage requirements. (via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2012 journal article

An implicit discontinuous Galerkin method for the unsteady compressible Navier-Stokes equations

COMPUTERS & FLUIDS, 53, 133–144.

By: H. Luo n, H. Segawa n & M. Visbal*

author keywords: Discontinuous Galerkin methods; Implicit methods; Compressible Navier-Stokes equations
TL;DR: A high-order implicit discontinuous Galerkin method is developed for the time-accurate solutions to the compressible Navier–Stokes equations, which shows significant improvements in performance over its explicit counterpart, while without significant increase in memory requirements. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2011 journal article

A Parallel, Reconstructed Discontinuous Galerkin Method for the Compressible Flows on Arbitrary Grids

COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 9(2), 363–389.

author keywords: Discontinuous Galerkin methods; least-squares reconstruction methods; compressible Navier-Stokes equations
Source: Web Of Science
Added: August 6, 2018

2011 journal article

The multi-dimensional limiters for solving hyperbolic conservation laws on unstructured grids

JOURNAL OF COMPUTATIONAL PHYSICS, 230(21), 7775–7795.

By: W. Li*, Y. Ren*, G. Lei* & H. Luo n

author keywords: Weighted biased averaging procedure; Shock capturing; Unstructured grids
TL;DR: The remarkable features of the present limiters are the new biased functions and the weighted average procedure, which enable the present limiter to capture strong shock waves and achieve excellent convergence for steady state computations. (via Semantic Scholar)
UN Sustainable Development Goal Categories
15. Life on Land (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2010 chapter

A BGK-Based Discontinuous Galerkin Method for the Navier-Stokes Equations on Arbitrary Grids

In Computational Fluid Dynamics Review 2010 (Vol. 1, pp. 103–122).

By: H. Luo n, L. Luo n & K. Xu*

Sources: Crossref, NC State University Libraries
Added: August 6, 2018

2010 journal article

A Parallel Discontinuous Galerkin Code for Compressible Fluid Flows on Unstructured Grids

Journal of Engineering and Applied Sciences, 29(1), 57–75.

By: A. Ali, H. Luo, K. Syed & M. Ishaq

Source: NC State University Libraries
Added: February 7, 2021

2010 journal article

A reconstructed discontinuous Galerkin method for the compressible Navier–Stokes equations on arbitrary grids

Journal of Computational Physics, 229(19), 6961–6978.

Contributors: H. Luo n, L. Luo n, R. Nourgaliev*, V. Mousseau* & N. Dinh*

author keywords: Reconstruction schemes; Discontinuous Galerkin methods; Compressible Navier-Stokes equations
TL;DR: The numerical results indicate that this reconstruction-based discontinuous Galerkin (RDG) method is able to deliver the same accuracy as the well-known Bassi-Rebay II scheme, at a half of its computing costs for the discretization of the viscous fluxes in the Navier-Stokes equations, clearly demonstrating its superior performance over the existing DG methods. (via Semantic Scholar)
Sources: Web Of Science, ORCID, Crossref, NC State University Libraries
Added: August 6, 2018

2010 article

Hybrid Grid Generation Method for Complex Geometries

Luo, H., Spiegel, S., & Loehner, R. (2010, November). AIAA JOURNAL, Vol. 48, pp. 2639–2647.

By: H. Luo n, S. Spiegel n & R. Loehner

TL;DR: A hybrid mesh generation method to discretize complex geometries by combining the orthogonality and directionality of a structured grid, the efficiency and simplicity of a Cartesian grid, and the flexibility and ease of an unstructured grid in an attempt to develop an automatic, robust, and fast hybridMesh generation method for configurations of engineering interest. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2009 journal article

A hybrid building-block and gridless method for compressible flows

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 59(4), 459–474.

By: H. Luo n, J. Baum* & R. Loehner

author keywords: Cartesian grid methods; gridless methods; building-block methods; Euler equations; unsteady compressible flows; shock waves
Source: Web Of Science
Added: August 6, 2018

2008 journal article

A discontinuous Galerkin method based on a Taylor basis for the compressible flows on arbitrary grids

JOURNAL OF COMPUTATIONAL PHYSICS, 227(20), 8875–8893.

By: H. Luo n, J. Baum* & R. Lohner*

author keywords: Discontinuous Galerkin methods; Compressible flows; Arbitrary grids
TL;DR: The numerical results demonstrated the superior accuracy of this discontinuous Galerkin method in comparison with a second order finite volume method and a third-order WENO method, indicating its promise and potential to become not just a competitive but simply a superior approach than its finite volume and ENO/WENO counterparts for solving flow problems of scientific and industrial interest. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2008 article

Fast p-multigrid discontinuous Galerkin method for compressible flows at all speeds

Luo, H., Baum, J. D., & Lohner, R. (2008, March). AIAA JOURNAL, Vol. 46, pp. 635–652.

By: H. Luo n, J. Baum* & R. Lohner*

TL;DR: The performance comparison with a finite volume method shows that using this p-multigrid method, the discontinuous Galerkin method, provides a viable, attractive, competitive, and probably even superior alternative to the finiteVolume method for computing compressible flows at all speeds. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2008 journal article

Improvements in speed for explicit, transient compressible flow solvers

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 56(12), 2229–2244.

By: R. Lohner*, H. Luo n, J. Baum* & D. Rice

author keywords: compressible flow solvers; explicit timestepping; computational techniques; TVD; FCT; CFD
TL;DR: Several explicit high‐resolution schemes for transient compressible flows with moving shocks are combined in such a way so as to achieve the highest possible speed without compromising accuracy. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2008 journal article

On the computation of steady-state compressible flows using a discontinuous Galerkin method

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 73(5), 597–623.

By: H. Luo n, J. Baum* & R. Lohner*

author keywords: discontinuous Galerkin methods; shock detectors; p-multigrid; compressible flows
TL;DR: Numerical experiments for a wide range of flow conditions in both 2D and 3D configurations are presented to demonstrate the accuracy of the developed discontinuous Galerkin method for computing compressible steady‐state flows. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2007 journal article

A Hermite WENO-based limiter for discontinuous Galerkin method on unstructured grids

JOURNAL OF COMPUTATIONAL PHYSICS, 225(1), 686–713.

By: H. Luo*, J. Baum* & R. Loehner

author keywords: discontinuous galerkin methods; WENO; compressible flows; unstructured grids; slope limiters
TL;DR: A weighted essentially non-oscillatory reconstruction scheme based on Hermite polynomials is developed and applied as a limiter for the discontinuous Galerkin finite element method on unstructured grids to demonstrate the accuracy, effectiveness, and robustness of the designed HWENO limiter. (via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2006 journal article

A hybrid Cartesian grid and gridless method for compressible flows

JOURNAL OF COMPUTATIONAL PHYSICS, 214(2), 618–632.

By: H. Luo*, J. Baum* & R. Lohner*

author keywords: compressible flow; Euler equations; Cartesian grid metbod; gridless
TL;DR: A hybrid Cartesian grid and gridless method is presented to compute unsteady compressible flows for complex geometries that leads to a significant improvement in performance over its unstructured grid counterpart for the time-accurate solution of the compressible Euler equations. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2006 journal article

A p-multigrid discontinuous Galerkin method for the Euler equations on unstructured grids

JOURNAL OF COMPUTATIONAL PHYSICS, 211(2), 767–783.

By: H. Luo*, J. Baum* & R. Lohner*

TL;DR: A p-multigrid (p = polynomial degree) discontinuous Galerkin method is presented for the solution of the compressible Euler equations on unstructured grids, resulting in an accurate, fast, and low memory method that can be used to accelerate the convergence of the Euler equation to a steady state for discontinuousGalerkin methods. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2005 article

Extension of Harten-Lax-van Leer scheme for flows at all speeds

Luo, H., Baum, J. D., & Lohner, R. (2005, June). AIAA JOURNAL, Vol. 43, pp. 1160–1166.

By: H. Luo*, J. Baum* & R. Lohner*

TL;DR: The Harten, Lax, and van Leer with contact restoration scheme has been modified and extended in conjunction with time-derivative preconditioning to compute flow problems at all speeds and it is found that a simple modification of signal velocities in the HLLC scheme is only needed to reduce excessive numerical diffusion at the low Mach number. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2005 article

High-Reynolds number viscous flow computations using an unstructured-grid method

JOURNAL OF AIRCRAFT, Vol. 42, pp. 483–492.

By: H. Luo*, J. Baum* & R. Lohner*

Source: Web Of Science
Added: August 6, 2018

2005 journal article

Selective edge removal for unstructured grids with Cartesian cores

Journal of Computational Physics, 206(1), 208–226.

By: R. Löhner*, H. Luo* & J. Baum

author keywords: CFD; FEM; Cartesian grids; edge-based solvers
TL;DR: The results indicate that without degradation of accuracy, CPU requirements can be cut considerably for typical large-scale grids and allows a seamless integration of unstructured grids near boundaries with efficient Cartesian grids in the core regions of the domain. (via Semantic Scholar)
UN Sustainable Development Goal Categories
14. Life Below Water (OpenAlex)
Source: Crossref
Added: January 30, 2021

2004 journal article

On the computation of multi-material flows using ALE formulation

JOURNAL OF COMPUTATIONAL PHYSICS, 194(1), 304–328.

By: H. Luo*, J. Baum* & R. Lohner*

TL;DR: Numerical results indicate that both ALE HLLC and Godunov schemes demonstrate their simplicity and robustness for solving such multi-phase flow problems, and yet ALE AUSM+ scheme exhibits strong oscillations around material interfaces even using a first order monotone scheme and therefore is not suitable for this class of problems. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2003 journal article

Computation of Compressible Flows using a Two-equation Turbulence Model on Unstructured Grids

International Journal of Computational Fluid Dynamics, 17(1), 87–93.

By: H. Luo*, J. Baum* & R. Löhner*

author keywords: k-epsilon turbulence model; positivity of turbulence variables; unstructured grids
Source: Crossref
Added: August 28, 2020

2003 journal article

Unstructured Navier-Stokes grid generation at comers and ridges

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 43(6-7), 717–728.

By: D. Sharov*, H. Luo*, J. Baum* & R. Lohner*

author keywords: grid generation; unstructured grids; CFD; FEM
TL;DR: Problems related to automatic generation of highly stretched unstructured grids suitable for 3‐D Reynolds‐averaged Navier–Stokes computations are addressed using special meshing of non‐slip body surfaces resulting in smooth and robust volume meshing and high overall quality of generated grids. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2001 journal article

A fast, matrix-free implicit method for computing low Mach number flows on unstructured grids

International Journal of Computational Fluid Dynamics, 14(2), 133–143.

By: H. Luo*

Source: NC State University Libraries
Added: August 6, 2018

2001 journal article

An accurate, fast, matrix-free implicit method for computing unsteady flows on unstructured grids

COMPUTERS & FLUIDS, 30(2), 137–159.

By: H. Luo*, J. Baum & R. Lohner

TL;DR: An accurate, fast, matrix-free implicit method has been developed to solve the three-dimensional compressible unsteady flows on unstructured grids and indicates that the use of this method leads to a significant increase in performance over its explicit counterpart, while maintaining a similar memory requirement. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

2001 journal article

On the Computation of Compressible Turbulent Flows on Unstructured Grids

International Journal of Computational Fluid Dynamics, 14(4), 253–270.

By: H. Luo*, D. Sharov*, J. Baum* & R. Löhner*

author keywords: turbulent flows; unstructured grids; GMRES plus LU-SG-S
TL;DR: The present method provides an accurate, fast, and robust algorithm for computing compressible turbulent flows on unstructured meshes and is used to compute a variety of turbulent flow problems in both 2D and 3D. (via Semantic Scholar)
Source: Crossref
Added: January 30, 2021

1999 conference paper

Fluid-structure-thermal interaction using a loose coupling algorithm and adaptive unstructured grids

In T. Kvamsdal (Ed.), Computational methods for fluid-structure interaction : proceedings from the International Symposium on Computational Methods for Fluid-Structure Interaction, 15-17 February 1999 (pp. 109–120).

By: R. Lohner, C. Yang*, J. Cebral, J. Baum*, E. Mestreau, H. Luo*, D. Pelessone*, C. Charman.*

Ed(s): T. Kvamsdal

Event: International Symposium on Computational Methods for Fluid-Structure Interaction at Trondheim on February 15-17, 1999

Source: NC State University Libraries
Added: February 7, 2021

1999 article

The numerical simulation of strongly unsteady flow with hundreds of moving bodies

Lohner, R., Yang, C., Baum, J. D., Luo, H., Pelessone, D., & Charman, C. M. (1999, September 15). INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, Vol. 31, pp. 113-+.

By: R. Lohner*, C. Yang*, J. Baum*, H. Luo*, D. Pelessone* & C. Charman*

author keywords: moving bodies; numerical simulation; unsteady flows
Source: Web Of Science
Added: August 6, 2018

1998 journal article

A fast, matrix-free implicit method for compressible flows on unstructured grids

JOURNAL OF COMPUTATIONAL PHYSICS, 146(2), 664–690.

By: H. Luo*, J. Baum* & R. Lohner*

TL;DR: The numerical results obtained indicate that the use of the GMRES+LU-SGS method leads to a significant increase in performance over the best current implicit methods, GM RES+ILU and LU-S GS, while maintaining memory requirements similar to its explicit counterpart. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

1998 chapter

THE NUMERICAL SIMULATION OF STRONGLY UNSTEADY FLOW WITH HUNDREDS OF MOVING BODIES

In Computational Fluid Dynamics Review 1998 (pp. 1027–1033).

By: R. Löhner*, J. Baum*, C. Yang* & H. Luo*

Source: Crossref
Added: August 28, 2020

1995 chapter

Fluid-Structure Interaction Using a Loose Coupling Algorithm and Adaptive Unstructured Grids

In Computational fluid dynamics review 1995 (pp. 755–776). Chichester, England: Wiley.

By: R. Löhner, C. Yang, J. Cebral, J. Baum, H. Luo, D. Pelessone, C. Charman

Source: NC State University Libraries
Added: February 7, 2021

1994 journal article

EDGE-BASED FINITE-ELEMENT SCHEME FOR THE EULER EQUATIONS

AIAA JOURNAL, 32(6), 1183–1190.

By: H. Luo*, J. Baum* & R. Lohner*

TL;DR: The development, validation, and application of a new finite element scheme for the solution of the compressible Euler equations on unstructured grids is described and a flow solution about a complete F-18 fighter is shown to demonstrate the accuracy and robustness of the proposed algorithm. (via Semantic Scholar)
Source: Web Of Science
Added: August 6, 2018

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