6 citations · 23 across the 17 of their papers we have counts for
19 papers
Hybrid Two-Level Transport Method with Solution Decomposition in Macro and Micro Components
Caleb A. Shaw, Dmitriy Y. Anistratov
This paper presents a new hybrid MC/deterministic method for solving the one-group steady-state Boltzmann transport equation based on decomposition of solution in macro and micro c…
Second-Moment Method for Transport Problems with Anisotropic Scattering
India J. Allan, Dmitriy Y. Anistratov
This paper presents a new nonlinear two-level acceleration method for solving the particle transport equation with anisotropic scattering. The method is formulated with the project…
Hybrid Weight Window Method for Global Time-Dependent Monte Carlo Particle Transport Calculations
Caleb A. Shaw, Dmitriy Y. Anistratov
This paper presents a new Monte Carlo (MC) algorithm for time-dependent particle transport problems with global variance reduction based on automatic weight windows (WWs). The cent…
Multi-Level Hybrid Monte Carlo / Deterministic Methods for Particle Transport Problems
Vincent N. Novellino, Dmitriy Y. Anistratov
This paper presents multilevel hybrid transport (MLHT) methods for solving the neutral-particle Boltzmann transport equation. The proposed MLHT methods are formulated on a sequence…
Convergence of Multi-Level Hybrid Monte Carlo Methods for 1-D Particle Transport Problems
Vincent N. Novellino, Dmitriy Y. Anistratov
We present in this paper a hybrid, Multi-Level Monte Carlo (MLMC) method for solving the neutral particle transport equation. MLMC methods, originally developed to solve parametric…
Hybrid Weight Window Techniques for Time-Dependent Monte Carlo Neutronics
Caleb S. Shaw, Dmitriy Y. Anistratov
Efficient variance reduction of Monte Carlo simulations is desirable to avoid wasting computational resources. This paper presents an automated weight window algorithm for solving…
Multilevel Method with Low-Order Equations of Mixed Types and Two Grids in Photon Energy for Thermal Radiative Transfer
Dmitriy Y. Anistratov, Terry S. Haut
Thermal radiative transfer (TRT) is an essential piece of physics in inertial confinement fusion, high-energy density physics, astrophysics etc. The physical models of this type of…
Analysis of Hybrid MC/Deterministic Methods for Transport Problems Based on Low-Order Equations Discretized by Finite Volume Schemes
Vincent N. Novellino, Dmitriy Y. Anistratov
This paper presents hybrid numerical techniques for solving the Boltzmann transport equation formulated by means of low-order equations for angular moments of the angular flux. The…
A Variable Eddington Factor Model for Thermal Radiative Transfer with Closure based on Data-Driven Shape Function
Joseph M. Coale, Dmitriy Y. Anistratov
A new variable Eddington factor (VEF) model is presented for nonlinear problems of thermal radiative transfer (TRT). The VEF model is a data-driven one that acts on known (a-priori…
A Reduced-Order Model for Nonlinear Radiative Transfer Problems Based on Moment Equations and POD-Petrov-Galerkin Projection of the Normalized Boltzmann Transport Equation
Joseph M. Coale, Dmitriy Y. Anistratov
A data-driven projection-based reduced-order model (ROM) for nonlinear thermal radiative transfer (TRT) problems is presented. The TRT ROM is formulated by (i) a hierarchy of low-o…
Multilevel Method for Thermal Radiative Transfer Problems with Method of Long Characteristics for the Boltzmann Transport Equation
Joseph M. Coale, Dmitriy Y. Anistratov
In this paper analysis is performed on a computational method for thermal radiative transfer (TRT) problems based on the multilevel quasidiffusion (variable Eddington factor) metho…
Reduced-Memory Methods for Linear Discontinuous Discretization of the Time-Dependent Boltzmann Transport Equation
Rylan C. Paye, Dmitriy Y. Anistratov, Jim E. Morel +1
In this paper, new implicit methods with reduced memory are developed for solving the time-dependent Boltzmann transport equation (BTE). One-group transport problems in 1D slab geo…
A Nonlinear Projection-Based Iteration Scheme with Cycles over Multiple Time Steps for Solving Thermal Radiative Transfer Problems
Joseph M. Coale, Dmitriy Y. Anistratov
In this paper we present a multilevel projection-based iterative scheme for solving thermal radiative transfer problems that performs iteration cycles on the high-order Boltzmann t…
Reduced order models for nonlinear radiative transfer based on moment equations and POD/DMD of Eddington tensor
Joseph M. Coale, Dmitriy Y. Anistratov
A new group of reduced-order models (ROMs) for nonlinear thermal radiative transfer (TRT) problems is presented. They are formulated by means of the nonlinear projective approach a…
Multilevel Iteration Method for Binary Stochastic Transport Problems
Dmitriy Y. Anistratov
This paper presents an iteration method for solving linear particle transport problems in binary stochastic mixtures. It is based on nonlinear projection approach. The method is de…
Implicit Methods with Reduced Memory for Thermal Radiative Transfer
Dmitriy Y. Anistratov, Joseph M. Coale
This paper presents approximation methods for time-dependent thermal radiative transfer problems in high energy density physics. It is based on the multilevel quasidiffusion method…
Multilevel Second-Moment Methods with Group Decomposition for Multigroup Transport Problems
Dmitriy Y. Anistratov, Joseph M. Coale, James S. Warsa +1
This paper presents multilevel iterative schemes for solving the multigroup Boltzmann transport equations (BTEs) with parallel calculation of group equations. They are formulated w…
Reduced-Order Models for Thermal Radiative Transfer Based on POD-Galerkin Method and Low-Order Quasidiffusion Equations
Joseph M. Coale, Dmitriy Y. Anistratov
This paper presents a new technique for developing reduced-order models (ROMs) for nonlinear radiative transfer problems in high-energy density physics. The proper orthogonal decom…
Nonlinear Iterative Projection Methods with Multigrid in Photon Frequency for Thermal Radiative Transfer
Dmitriy Y. Anistratov
This paper presents nonlinear iterative methods for the fundamental thermal radiative transfer (TRT) model defined by the time-dependent multifrequency radiative transfer (RT) equa…