A cell-based population control of Monte Carlo particles for the global variance reduction for transport equations

DOI10.1016/j.jcp.2022.111373OpenAlexW4283023236MaRDI QIDQ2162008

Laetitia Laguzet, Gabriel Turinici

Publication date: 5 August 2022

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111373

zbMATH Keywords

Monte Carlo methodradiative transfervariance reductionsampling methodphoton transport

Mathematics Subject Classification ID

Probabilistic methods, stochastic differential equations (65Cxx) Numerical methods for integral equations, integral transforms (65Rxx) Time-dependent statistical mechanics (dynamic and nonequilibrium) (82Cxx)

Uses Software

• MCNP

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Residual Monte Carlo high-order solver for moment-based accelerated thermal radiative transfer equations
• A hybrid (Monte Carlo/deterministic) approach for multi-dimensional radiation transport
• A guided tour of Chernoff bounds
• The effects of slope limiting on asymptotic-preserving numerical methods for hyperbolic conservation laws
• Monte-Carlo methods for the transport and diffusion equations
• A hybrid symbolic Monte-Carlo method for radiative transfer equations
• Variance reduction method for particle transport equation in spherical geometry
• A linear-discontinuous spatial differencing scheme for \(S_ n\) radiative transfer calculations
• An implicit Monte Carlo scheme for calculating time and frequency dependent nonlinear radiation transport
• Effect of Radiation on Shock Wave Behavior
• Solution of the Nonlinear Radiative Transfer Equations by a Fully Implicit Matrix Monte Carlo Method Coupled with the Rosseland Diffusion Equation via Domain Decomposition
• A New Time Discretization for the Radiative Transfer Equations: Analysis and Comparison with the Classical Discretization
• Mitigating Teleportation Error in Frequency-Dependent Hybrid Implicit Monte Carlo Diffusion Methods
• Four Decades of Implicit Monte Carlo
• A Measure of Asymptotic Efficiency for Tests of a Hypothesis Based on the sum of Observations

This page was built for publication: A cell-based population control of Monte Carlo particles for the global variance reduction for transport equations