An asymptotic-preserving Monte Carlo method for the Boltzmann equation
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Publication:349544
DOI10.1016/j.jcp.2014.07.029zbMath1349.82110OpenAlexW2148996648MaRDI QIDQ349544
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.2014.07.029
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Cites Work
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- Exponential Runge-Kutta for the inhomogeneous Boltzmann equations with high order of accuracy
- A class of asymptotic-preserving schemes for the Fokker-Planck-Landau equation
- Simulating argon, helium, and nitrogen shock waves
- A low diffusion particle method for simulating compressible inviscid flows
- Implementation of unsteady sampling procedures for the parallel direct simulation Monte Carlo method
- The equilibrium flux method for the calculation of flows with non- equilibrium chemical reactions
- Statistical simulation of the transition between regular and Mach reflection in steady flows
- Direct simulation methods for compressible inviscid ideal-gas flow
- The Boltzmann equation and its applications
- An implicit Monte Carlo method for rarefied gas dynamics. I: The space homogeneous case
- A study of numerical methods for hyperbolic conservation laws with stiff source terms
- Statistical error in particle simulations of hydrodynamic phenomena.
- Statistical error analysis for the direct simulation Monte Carlo technique
- A parallel implementation of the direct simulation Monte Carlo method
- Strategies for efficient particle resolution in the direct simulation Monte Carlo method.
- A class of asymptotic-preserving schemes for kinetic equations and related problems with stiff sources
- Time Relaxed Monte Carlo Methods for the Boltzmann Equation
- A numerical scheme for the quantum Boltzmann equation with stiff collision terms
- Exponential Runge–Kutta Methods for Stiff Kinetic Equations
- The moment-guided Monte Carlo method
- The structure of shock waves as a test of Brenner's modifications to the Navier–Stokes equations
- Time step truncation error in direct simulation Monte Carlo
- Analysis of discretization in the direct simulation Monte Carlo
- On a simulation scheme for the Boltzmann equation
- Relaxation Schemes for Nonlinear Kinetic Equations
- Efficient Asymptotic-Preserving (AP) Schemes For Some Multiscale Kinetic Equations
- A Successive Penalty-Based Asymptotic-Preserving Scheme for Kinetic Equations
- Numerical solution of the Boltzmann equation by time relaxed Monte Carlo (TRMC) methods
