Asymptotic analysis of the spatial discretization of radiation absorption and re-emission in implicit Monte Carlo
From MaRDI portal
Publication:630340
DOI10.1016/J.JCP.2010.10.030zbMath1217.80028OpenAlexW1997113700MaRDI QIDQ630340
Publication date: 17 March 2011
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2010.10.030
Asymptotic behavior of solutions to PDEs (35B40) Combustion (80A25) Monte Carlo methods applied to problems in thermodynamics and heat transfer (80M31)
Related Items (13)
A Continuous Source Tilting Scheme for Radiative Transfer Equations in Implicit Monte Carlo ⋮ A Functional Expansion Tally Method for Gray Radiative Transfer Equations in Implicit Monte Carlo ⋮ An asymptotic preserving unified gas kinetic particle method for radiative transfer equations ⋮ Multi-frequency implicit semi-analog Monte-Carlo (ISMC) radiative transfer solver in two-dimensions (without teleportation) ⋮ An asymptotic-preserving IMEX method for nonlinear radiative transfer equation ⋮ Mitigating Teleportation Error in Frequency-Dependent Hybrid Implicit Monte Carlo Diffusion Methods ⋮ Four Decades of Implicit Monte Carlo ⋮ Implicit Monte Carlo with a Linear Discontinuous Finite Element Material Solution and Piecewise Non-Constant Opacity ⋮ High order asymptotic preserving discontinuous Galerkin methods for gray radiative transfer equations ⋮ An efficient asymptotic preserving Monte Carlo method for radiative transfer equations ⋮ Unified gas-kinetic particle method for frequency-dependent radiation transport ⋮ Asymptotic diffusion limit of cell temperature discretisation schemes for thermal radiation transport ⋮ A Modified Symbolic Implicit Monte Carlo Method for Time-Dependent Thermal Radiation Transport
Cites Work
- Unnamed Item
- A random walk procedure for improving the computational efficiency of the implicit Monte Carlo method for nonlinear radiation transport
- Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes
- Symbolic implicit Monte Carlo
- Asymptotic analysis of a computational method for time- and frequency-dependent radiative transfer
- Comparison of implicit and symbolic implicit Monte Carlo line transport with frequency weight vector extension
- Asymptotic diffusion limit of the symbolic Monte-Carlo method for the transport equation.
- A linear-discontinuous spatial differencing scheme for \(S_ n\) radiative transfer calculations
- Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes. II
- Asymptotic equilibrium diffusion analysis of time-dependent Monte Carlo methods for grey radiative transfer
- An implicit Monte Carlo scheme for calculating time and frequency dependent nonlinear radiation transport
- Verification (Mostly) for High Energy Density Radiation Transport: Five Case Studies
- Solution of the Nonlinear Radiative Transfer Equations by a Fully Implicit Matrix Monte Carlo Method Coupled with the Rosseland Diffusion Equation via Domain Decomposition
- Uniform asymptotic expansions in transport theory with small mean free paths, and the diffusion approximation
- Finite Volume Methods for Hyperbolic Problems
- Existence and Uniqueness Theorems for the Neutron Transport Equation
This page was built for publication: Asymptotic analysis of the spatial discretization of radiation absorption and re-emission in implicit Monte Carlo