An implicit Monte Carlo scheme for calculating time and frequency dependent nonlinear radiation transport

DOI10.1016/0021-9991(71)90015-5zbMath0229.65087OpenAlexW2016423519MaRDI QIDQ2550283

J. A. jun. Fleck, J. D. Commings

Publication date: 1971

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(71)90015-5

Mathematics Subject Classification ID

Applications to the sciences (65Z05) Probabilistic methods, stochastic differential equations (65C99)

Related Items (only showing first 100 items - show all)

The Asymptotic Telegrapher’s Equation (P₁) Approximation for Time-Dependent, Thermal Radiative Transfer ⋮ Analytic Treatment of Source Photon Emission Times to Reduce Noise in Implicit Monte Carlo Calculations ⋮ A Consistent, Moment-Based, Multiscale Solution Approach for Thermal Radiative Transfer Problems ⋮ Spatial Moments of Continuous Transport Problems Computed on Grids ⋮ Coupling Implicit Monte Carlo Thermal Radiation Transport to Lagrange and ALE Hydrodynamics in the Lab and Fluid Frames ⋮ Four Decades of Implicit Monte Carlo ⋮ Iterative Implicit Monte Carlo ⋮ Reducing the Spatial Discretization Error of Thermal Emission in Implicit Monte Carlo Simulations ⋮ Implicit Monte Carlo with a Linear Discontinuous Finite Element Material Solution and Piecewise Non-Constant Opacity ⋮ A Kinetic-Diffusion Asymptotic-Preserving Monte Carlo Algorithm for the Boltzmann-BGK Model in the Diffusive Scaling ⋮ Two-Group Radiative Transfer Benchmarks for the Non-Equilibrium Diffusion Model ⋮ Numerical Analysis of the Monte-Carlo Noise for the Resolution of the Deterministic and Uncertain Linear Boltzmann Equation (Comparison of Non-Intrusive gPC and MC-gPC) ⋮ A maximum principle preserving implicit Monte Carlo method for frequency-dependent radiative transfer equations ⋮ An efficient asymptotic preserving Monte Carlo method for radiative transfer equations ⋮ A finite element method for angular discretization of the radiation transport equation on spherical geodesic grids ⋮ A fully asymptotic preserving decomposed multi-group method for the frequency-dependent radiative transfer equations ⋮ A Monte Carlo Thermal Radiative Transfer Solver with Nonlinear Elimination ⋮ Spatial second-order positive and asymptotic preserving unified gas kinetic schemes for radiative transfer equations ⋮ Unified gas-kinetic particle method for frequency-dependent radiation transport ⋮ Improved treatment of multi-material cells in thermal radiation transport codes ⋮ О двух подходах эффективного понижения размерности для задач переноса теплового излучения в многомерной геометрии ⋮ A Nonlinear Moment Model for Radiative Transfer Equation ⋮ Implicit Asymptotic Preserving Method for Linear Transport Equations ⋮ Implicit Monte Carlo diffusion -- an acceleration method for Monte Carlo time-dependent radiative transfer simulations ⋮ Unnamed Item ⋮ A Continuous Source Tilting Scheme for Radiative Transfer Equations in Implicit Monte Carlo ⋮ Asymptotic P_N Approximation in Radiative Transfer Problems ⋮ Efficient smoothed particle radiation hydrodynamics. II: Radiation hydrodynamics ⋮ Efficient smoothed particle radiation hydrodynamics. I: Thermal radiative transfer ⋮ A Functional Expansion Tally Method for Gray Radiative Transfer Equations in Implicit Monte Carlo ⋮ An optimal cascadic multigrid method for the radiative transfer equation ⋮ The global optimal reference field for the difference formulation in the implicit Monte Carlo radiation transport ⋮ An implicit Monte Carlo scheme for calculating time-dependent line transport ⋮ Unified gas-kinetic wave-particle methods. III: Multiscale photon transport ⋮ A low-rank method for two-dimensional time-dependent radiation transport calculations ⋮ An asymptotic preserving unified gas kinetic particle method for radiative transfer equations ⋮ Asymptotic equilibrium diffusion analysis of time-dependent Monte Carlo methods for grey radiative transfer ⋮ Semi-implicit and semidiscrete difference schemes for solving a nonstationary kinetic equation of thermal radiative transfer and energy equation ⋮ A positive and asymptotic preserving filtered \(P_N\) method for the gray radiative transfer equations ⋮ Nonlinear iterative projection methods with multigrid in photon frequency for thermal radiative transfer ⋮ A modified implicit Monte Carlo method for time-dependent radiative transfer with adaptive material coupling ⋮ Multilevel asymptotic-preserving Monte Carlo for kinetic-diffusive particle simulations of the Boltzmann-BGK equation ⋮ Multi-frequency implicit semi-analog Monte-Carlo (ISMC) radiative transfer solver in two-dimensions (without teleportation) ⋮ Efficient uncertainty propagation for photonics: combining implicit semi-analog Monte Carlo (ISMC) and Monte Carlo generalised polynomial chaos (MC-gPC) ⋮ An asymptotic preserving method for the linear transport equation on general meshes ⋮ Analysis of a Monte Carlo method for nonlinear radiative transfer ⋮ Flux-limited diffusion models in radiation hydrodynamics ⋮ Generalized reference fields and source interpolation for the difference formulation of radiation transport ⋮ Methods for coupling radiation, ion, and electron energies in grey implicit Monte Carlo ⋮ An asymptotic-preserving IMEX method for nonlinear radiative transfer equation ⋮ A Colocalized Scheme for Three-Temperature Grey Diffusion Radiation Hydrodynamics ⋮ A Stable 1D Multigroup High-Order Low-Order Method ⋮ Mitigating Teleportation Error in Frequency-Dependent Hybrid Implicit Monte Carlo Diffusion Methods ⋮ A Hybrid Deterministic/Monte Carlo Method for Solving thek-Eigenvalue Problem with a Comparison to Analog Monte Carlo Solutions ⋮ Simple Material-Motion Corrections for Thermal Radiative Transport ⋮ Moment-Based Acceleration of Monte Carlo Solution for Multifrequency Thermal Radiative Transfer Problems ⋮ Spatial Moments of Continuous Transport Problems Computed on Grids: Time-Dependent Problems ⋮ Variance reduction method for particle transport equation in spherical geometry ⋮ Radiation transport modeling using extended quadrature method of moments ⋮ Obtaining identical results with double precision global accuracy on different numbers of processors in parallel particle Monte Carlo simulations ⋮ Residual Monte Carlo high-order solver for moment-based accelerated thermal radiative transfer equations ⋮ A cell-based population control of Monte Carlo particles for the global variance reduction for transport equations ⋮ The iterative thermal emission method: a more implicit modification of IMC ⋮ Using hybrid implicit Monte Carlo diffusion to simulate gray radiation hydrodynamics ⋮ Implicit Monte Carlo Radiation Transport Simulations of Four Test Problems ⋮ A grey transport acceleration method for time-dependent radiative transfer problems ⋮ A deterministic photon free method to solve radiation transfer equations ⋮ A hybrid transport-diffusion method for Monte Carlo radiative-transfer simulations ⋮ Symbolic implicit Monte Carlo ⋮ High order asymptotic preserving discontinuous Galerkin methods for gray radiative transfer equations ⋮ Determination of the minimum entropy configuration and velocity surfaces for elastic-plastic wave scattering at grain boundaries ⋮ A new spherical harmonics scheme for multi-dimensional radiation transport. I: Static matter configurations ⋮ Multiscale high-order/low-order (HOLO) algorithms and applications ⋮ A hybrid symbolic Monte-Carlo method for radiative transfer equations ⋮ An arbitrary-order, fully implicit, hybrid kinetic solver for linear radiative transport using integral deferred correction ⋮ Simulating radiative transfer with filtered spherical harmonics ⋮ On convergence acceleration in the method for the identification of the diagonal element in problems of heat radiation transfer with scattering ⋮ Asymptotic analysis of the spatial discretization of radiation absorption and re-emission in implicit Monte Carlo ⋮ An alternative Monte Carlo approach to the thermal radiative transfer problem ⋮ A linear stability analysis for nonlinear, grey, thermal radiative transfer problems ⋮ Inverse Monte Carlo analysis ⋮ Analysis of the quasi-transfer approximation in problems with analytical solution ⋮ Corrected implicit Monte Carlo ⋮ A linear iterative scheme for the fast solution of the radiative heat transfer equations for glass. ⋮ An improved random walk algorithm for the implicit Monte Carlo method ⋮ Ray effect mitigation for the discrete ordinates method through quadrature rotation ⋮ A hybrid transport-diffusion Monte Carlo method for frequency-dependent radiative-transfer simulations ⋮ A multi-dimensional, moment-accelerated deterministic particle method for time-dependent, multi-frequency thermal radiative transfer problems ⋮ A multigroup moment-accelerated deterministic particle solver for 1-D time-dependent thermal radiative transfer problems ⋮ Asymptotically complexity diminishing schemes (ACDS) for kinetic equations in the diffusive scaling ⋮ The incorporation of the semi-implicit linear equations into Newton's method to solve radiation transfer equations ⋮ Semi-implicit time integration for \(P_N\) thermal radiative transfer ⋮ An implicit Monte Carlo method for simulation of impurity transport in divertor plasma ⋮ The effects of slope limiting on asymptotic-preserving numerical methods for hyperbolic conservation laws ⋮ A nonlinear three-moment model for radiative transfer in spherical symmetry ⋮ Stability analysis and time-step limits for a Monte Carlo Compton-scattering method ⋮ Including the effects of temperature-dependent opacities in the implicit Monte Carlo algorithm ⋮ Robust and accurate filtered spherical harmonics expansions for radiative transfer ⋮ An extension of implicit Monte Carlo diffusion: multigroup and the difference formulation ⋮ An evaluation of the difference formulation for photon transport in a two level system

Cites Work

• Unnamed Item

This page was built for publication: An implicit Monte Carlo scheme for calculating time and frequency dependent nonlinear radiation transport