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Works (32)
Updated: June 18th, 2024 05:04
2024 article
A Variable Eddington Factor Model for Thermal Radiative Transfer with Closure Based on Data-Driven Shape Function
Coale, J. M., & Anistratov, D. Y. (2024, March 11). JOURNAL OF COMPUTATIONAL AND THEORETICAL TRANSPORT.
author keywords: Boltzmann transport equation; variable Eddington tensor; radiation diffusion; model order reduction; nonlinear PDEs
open access via arxiv.org (repository)
Source: Web Of Science
Added: April 8, 2024
2024 journal article
A reduced-order model for nonlinear radiative transfer problems based on moment equations and POD-Petrov-Galerkin projection of the normalized Boltzmann transport equation
JOURNAL OF COMPUTATIONAL PHYSICS, 509.
author keywords: Boltzmann transport equation; High-energy density physics; Nonlinear PDEs; Variable Eddington factor; Proper orthogonal decomposition; POD-Petrov-Galerkin projection
Source: Web Of Science
Added: June 17, 2024
2023 article
Foreword Selected papers from the 2021 International Conference on Mathematics and Computational Methods Applied to Nuclear Science and Engineering ( M&C 2021)
Brantley, P. S., Anistratov, D. Y., & Urbatsch, T. J. (2023, February 1). NUCLEAR SCIENCE AND ENGINEERING, Vol. 197, pp. III-IV.
TL;DR:
The themes of M&C 2021 were mathematical and computational methods, numerical analysis, computer codes, and high-performance computer architectures for solving problems in nuclear science and engineering.
(via Semantic Scholar)
Source: Web Of Science
Added: February 20, 2023
2022 journal article
Accelerated Deterministic Phonon Transport With Consistent Material Temperature and Intensities
ASME JOURNAL OF HEAT AND MASS TRANSFER, 145(1).
author keywords: phonon transport; self-adjoint angular flux; MFEM; acceleration; gray diffusion acceleration; anderson acceleration
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: May 30, 2023
2022 journal article
Re duce d order models for thermal radiative transfer problems based on moment equations and data-driven approximations of the Eddington tensor
JOURNAL OF QUANTITATIVE SPECTROSCOPY & RADIATIVE TRANSFER, 296.
author keywords: Boltzmann transport equation; Quasidiffusion method; Variable eddington factor; Proper orthogonal decomposition; Dynamic mode decomposition; Nonlinear PDEs
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(OpenAlex)
Source: Web Of Science
Added: May 1, 2023
2021 journal article
Nonlinear iterative projection methods with multigrid in photon frequency for thermal radiative transfer
JOURNAL OF COMPUTATIONAL PHYSICS, 444.
author keywords: Thermal radiative transfer; Boltzmann equation; High-energy density physics; Iteration methods; Multigrid methods; Variable Eddington factor
TL;DR:
Numerical results are presented to demonstrate convergence of the multigrid iterative algorithms in TRT problems with large number of photon frequency groups.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(OpenAlex)
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: December 6, 2021
2020 journal article
An Approximation Method for Time-Dependent Problems in High Energy Density Thermal Radiative Transfer
JOURNAL OF COMPUTATIONAL AND THEORETICAL TRANSPORT, 49(1), 31–50.
author keywords: Radiative transfer equation; thermal radiative transfer; time dependence; multilevel methods; quasidiffusion method; variable Eddington factor; multiscale problems
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(OpenAlex)
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: January 27, 2020
2020 journal article
Multilevel quasidiffusion method with mixed-order time discretization for multigroup thermal radiative transfer problems
JOURNAL OF COMPUTATIONAL PHYSICS, 409.
author keywords: Radiative transfer equation; High-energy density physics; Quasidiffusion method; Variable Eddington factor; Multilevel methods; Multiscale problems
TL;DR:
A monotonization procedure is applied to the discretized time-dependent low-order equations based on the Limited-Trapezoidal method to improve the accuracy of the TRT solution while using robust and relatively inexpensive scheme for the high-order RT equations.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: April 20, 2020
2019 journal article
Iteration Methods with Multigrid in Energy for Eigenvalue Neutron Diffusion Problems
NUCLEAR SCIENCE AND ENGINEERING, 193(8), 803–827.
author keywords: Neutron diffusion; eigenvalue problems; multigrid methods; multilevel iteration methods
TL;DR:
Nonlinear multilevel methods with multiple grids in energy for solving the k-eigenvalue problem for multigroup neutron diffusion equations and multigrid-in-energy algorithms based on a nonlinear projection operator and several advanced prolongation operators are presented.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(OpenAlex)
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 5, 2019
2018 journal article
Discontinuous Finite Element Quasi-Diffusion Methods
NUCLEAR SCIENCE AND ENGINEERING, 191(2), 105–120.
author keywords: Particle transport equation; radiative transfer equation; iteration methods; finite element methods
TL;DR:
Two-level methods for solving transport problems in one-dimensional slab geometry based on the quasi-diffusion (QD) method are developed and it is shown that the method with independent discretization has the asymptotic diffusion limit.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2018 journal article
Stability analysis of a multilevel quasidiffusion method for thermal radiative transfer problems
JOURNAL OF COMPUTATIONAL PHYSICS, 376, 186–209.
author keywords: Radiative transfer; Numerical methods; Quasidiffusion method; Variable Eddington factor; Multilevel iteration methods; Fourier analysis
TL;DR:
A version of the multilevel QD method in which time evolution in the radiative transfer equation is treated by means of the α-approximation is considered, shown to be stable and fast converging.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: December 10, 2018
2018 journal article
Two-Level Transport Methods with Independent Discretization
JOURNAL OF COMPUTATIONAL AND THEORETICAL TRANSPORT, 47(4-6), 424–450.
author keywords: Particle transport equation; radiative transfer equation; iteration methods; finite element methods; quasidiffusion method; variable Eddington factor
TL;DR:
Two-level nonlinear iteration methods for the transport equation in 1D slab geometry approximated by means of the linear discontinuous finite element method (LDFEM) are presented and new nonlinear synthetic acceleration methods based on the LCFEM discretization of the QD equation are developed.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: May 6, 2019
2017 journal article
Sensitivity Analysis of Neutron Multiplicity Counting Statistics Using First-Order Perturbation Theory and Application to a Subcritical Plutonium Metal Benchmark
NUCLEAR SCIENCE AND ENGINEERING, 185(3), 406–425.
author keywords: Neutron multiplicity; sensitivity analysis; stochastic transport
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
13. Climate Action
(OpenAlex)
Source: Web Of Science
Added: August 6, 2018
2017 journal article
Stability analysis of nonlinear two-grid method for multigroup neutron diffusion problems
JOURNAL OF COMPUTATIONAL PHYSICS, 346, 278–294.
author keywords: Multigroup neutron diffusion equations; Iteration methods; Eigenvalue problems; Fourier analysis
TL;DR:
The developed analysis enables us to predict convergence properties of this two-grid method in different types of problems, and results of problems in 2D Cartesian geometry are presented to confirm theoretical predictions.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(OpenAlex)
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2017 journal article
The multilevel quasidiffusion method with multigrid in energy for eigenvalue transport problems
Progress in Nuclear Energy, 101, 401–408.
author keywords: Neutron transport equation; Eigenvalue problems; Iteration methods; Multigrid methods; Quasidiffusion method
TL;DR:
A multilevel iterative method for solving multigroup neutron transport k-eigenvalue problems in two-dimensional geometry based on a system of group low-order quasidiffusion equations defined on a sequence of coarsening energy grids.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(OpenAlex)
11. Sustainable Cities and Communities
(Web of Science)
Source: Crossref
Added: February 24, 2020
2016 journal article
Nonlinear Diffusion Acceleration Method with Multigrid in Energy for k-Eigenvalue Neutron Transport Problems
NUCLEAR SCIENCE AND ENGINEERING, 184(4), 514–526.
author keywords: Neutron transport; eigenvalue problems; iteration methods
TL;DR:
A multilevel method for solving multigroup neutron transport k-eigenvalue problems in two-dimensional Cartesian geometry based on the nonlinear diffusion acceleration (NDA) method, effective in solving the multigroup NDA low-order equations.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(OpenAlex)
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2015 journal article
Iterative stability analysis of spatial domain decomposition based on block Jacobi algorithm for the diamond-difference scheme
JOURNAL OF COMPUTATIONAL PHYSICS, 297, 462–479.
author keywords: Particle transport equation; Radiative transfer equation; Domain decomposition; Iterative methods; Fourier analysis
TL;DR:
Numerical results of finite-medium problems are presented and show that for finite domains iterative convergence to a finite criterion is achievable in a multiple of the sum of number of cells in each dimension.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2015 journal article
Space-Angle Homogenization of the Step Characteristic Scheme
JOURNAL OF COMPUTATIONAL AND THEORETICAL TRANSPORT, 44(4-5), 215–228.
author keywords: transport equation; homogenization methods; multiscale problems; reactor physics
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2014 journal article
A Multilevel projective method for solving the space-time multigroup neutron kinetics equations coupled with the heat transfer equation
Nuclear Science and Engineering, 177(1), 1–18.
Source: NC State University Libraries
Added: August 6, 2018
2014 journal article
A cell-local finite difference discretization of the low-order quasidiffusion equations for neutral particle transport on unstructured quadrilateral meshes
JOURNAL OF COMPUTATIONAL PHYSICS, 273, 343–357.
author keywords: Discretization; Particle transport equation; Unstructured quadrilateral meshes; Linear source representation
TL;DR:
A quasidiffusion (QD) method for solving neutral particle transport problems in Cartesian XY geometry on unstructured quadrilateral meshes, including local refinement capability, is presented.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2014 journal article
A hybrid transport-diffusion method for 2D transport problems with diffusive subdomains
JOURNAL OF COMPUTATIONAL PHYSICS, 270, 325–344.
author keywords: Particle transport; Radiative transfer; Domain decomposition; Metrics of transport effects; Diffusion approximation
TL;DR:
A computational method based on the Simple Corner Balance (SCB) scheme for solving 2D transport problems in diffusive media utilizes decomposition of spatial domain into transport and diffusive subregions and applies the quasidiffusion (Eddington) tensor to evaluate transport effects in the problem domain and determine spatial ranges of diffusiveSubregions.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2014 journal article
Spatial Homogenization of Transport Discretization Schemes
JOURNAL OF COMPUTATIONAL AND THEORETICAL TRANSPORT, 43(1-7), 262–288.
author keywords: numerical method; deterministic method; neutron transport; transport equation
TL;DR:
This work develops spatially homogenized transport schemes on a basis of two different transport discretization methods: SC and linear discontinuous schemes and studies sensitivity of the proposed schemes to various types of perturbations in spatially averaged cross sections and other homogenization parameters.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2013 journal article
Multilevel NDA Methods for Solving Multigroup Eigenvalue Neutron Transport Problems
NUCLEAR SCIENCE AND ENGINEERING, 174(2), 150–162.
TL;DR:
A fast iterative algorithm for solving multigroup neutron transport eigenvalue problems in one-dimensional slab geometry defined by a multilevel system of equations that includes multigroup and effective one-group low-order NDA equations.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2012 journal article
Computational transport methodology based on decomposition of a problem domain into transport and diffusive subdomains
JOURNAL OF COMPUTATIONAL PHYSICS, 231(24), 8009–8028.
author keywords: Particle transport; Radiative transfer; Domain decomposition; Transport effects; Diffusion approximation
TL;DR:
This paper presents a methodology for decomposition of a spatial domain of a transport problem into transport and diffusion subregions, and develops methods for solving one-group problems in 1D slab geometry.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2011 journal article
Multilevel Quasidiffusion Methods for Solving Multigroup Neutron Transport k-Eigenvalue Problems in One-Dimensional Slab Geometry
NUCLEAR SCIENCE AND ENGINEERING, 169(2), 111–132.
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy
(OpenAlex)
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2010 journal article
Nonlinear Weighted Flux Methods for Particle Transport Problems in Two-Dimensional Cartesian Geometry
NUCLEAR SCIENCE AND ENGINEERING, 165(2), 133–148.
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2009 journal article
STABILITY ANALYSIS OF THE QUASIDIFFUSION METHOD ON PERIODIC HETEROGENEOUS 1D TRANSPORT PROBLEMS
TRANSPORT THEORY AND STATISTICAL PHYSICS, 38(6), 295–316.
author keywords: Iteration methods; Neutron transport; Particle transport equation; Radiative transfer
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2007 journal article
Nonlinear weighted flux methods for particle transport problems
TRANSPORT THEORY AND STATISTICAL PHYSICS, 36(7), 589–608.
author keywords: particle transport equation; radiative transfer; neutron transport; iteration methods
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2006 journal article
Homogenization method for the two-dimensional low-order quasi-diffusion equations for reactor core calculations
NUCLEAR SCIENCE AND ENGINEERING, 154(3), 328–352.
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2005 article
Consistent spatial approximation of the low-order quasi-diffusion equations on coarse grids
Anistratov, D. Y. (2005, February). NUCLEAR SCIENCE AND ENGINEERING, Vol. 149, pp. 138–161.
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2005 article
Splitting method for solving the coarse-mesh discretized low-order quasi-diffusion equations
Hiruta, H., Anistratov, D. Y., & Adams, M. L. (2005, February). NUCLEAR SCIENCE AND ENGINEERING, Vol. 149, pp. 162–181.
TL;DR:
A splitting method that can efficiently solve coarse-mesh discretized low-order quasi-diffusion (LOQD) equations and can be used to modify existing diffusion codes for full-core calculations to account for transport effects.
(via Semantic Scholar)
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
2001 journal article
Nonlinear and linear alpha-weighted methods for particle transport problems
JOURNAL OF COMPUTATIONAL PHYSICS, 173(2), 664–684.
author keywords: linear Boltzmann transport equation; neutron transport; radiative transfer; acceleration methods; difference methods
UN Sustainable Development Goal Categories
11. Sustainable Cities and Communities
(Web of Science)
Source: Web Of Science
Added: August 6, 2018
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