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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*.

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*.

Source: Web Of Science

Added: June 17, 2024

2023 journal article

Accelerated Deterministic Phonon Transport With Consistent Material Temperature and Intensities

*ASME JOURNAL OF HEAT AND MASS TRANSFER*, *145*(1).

UN Sustainable Development Goal Categories

11. Sustainable Cities and Communities
(Web of Science)

Source: Web Of Science

Added: May 30, 2023

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.

Source: Web Of Science

Added: February 20, 2023

2023 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*.

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.

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

2019 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

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

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.

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.

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.

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.

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.

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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