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

2020 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

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)
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Source: Web Of Science
Added: August 6, 2018

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