An asymptotic preserving Monte Carlo method for the multispecies Boltzmann equation

DOI10.1016/j.jcp.2015.11.006zbMath1349.82133OpenAlexW2160424055MaRDI QIDQ2374949

Yanyan Li

Publication date: 5 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2015.11.006

zbMATH Keywords

DSMCasymptotic preserving schememultiscale flowmultispecies Boltzmann equation

Mathematics Subject Classification ID

Related Items (6)

On derivation and verification of a kinetic model for quantum vibrational energy of polyatomic gases in the gas-kinetic unified algorithm ⋮ A hybrid particle approach based on the unified stochastic particle Bhatnagar-Gross-Krook and DSMC methods ⋮ Multiscale Numerical Schemes for the Collisional Vlasov Equation in the Finite Larmor Radius Approximation Regime ⋮ A fast iterative scheme for the linearized Boltzmann equation ⋮ Contribution of viscosity to the circulation deposition in the Richtmyer–Meshkov instability ⋮ A unified stochastic particle Bhatnagar-Gross-Krook method for multiscale gas flows

Cites Work

• Unnamed Item
• Unnamed Item
• An asymptotic-preserving Monte Carlo method for the Boltzmann equation
• A domain decomposition method for a two-scale transport equation with energy flux conserved at the interface
• The equilibrium flux method for the calculation of flows with non- equilibrium chemical reactions
• Direct simulation methods for compressible inviscid ideal-gas flow
• An implicit Monte Carlo method for rarefied gas dynamics. I: The space homogeneous case
• Asymptotic solutions of numerical transport problems in optically thick, diffusive regimes. II
• Strategies for efficient particle resolution in the direct simulation Monte Carlo method.
• A smooth transition model between kinetic and hydrodynamic equations
• A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources
• Time Relaxed Monte Carlo Methods for the Boltzmann Equation
• Exponential Runge–Kutta Methods for Stiff Kinetic Equations
• Relaxation Schemes for Nonlinear Kinetic Equations
• Transition from Kinetic theory to macroscopic fluid equations: A problem for domain decomposition and a source for new algorithms
• Numerical methods for kinetic equations
• Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations
• The Interaction of Jets with Crossflow
• A Successive Penalty-Based Asymptotic-Preserving Scheme for Kinetic Equations
• A BGK‐penalization‐based asymptotic‐preserving scheme for the multispecies Boltzmann equation
• Numerical solution of the Boltzmann equation by time relaxed Monte Carlo (TRMC) methods
• A Domain Decomposition Analysis for a Two-Scale Linear Transport Problem
• A Smooth Transition Model between Kinetic and Diffusion Equations

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