Error estimation and optimization of the direct simulation Monte Carlo method taking into account spatial regularization

DOI10.1134/S0965542523070114zbMath1525.65006OpenAlexW4387463519MaRDI QIDQ6077999

E. V. Shkarupa, M. Yu. Plotnikov

Publication date: 19 October 2023

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0965542523070114

zbMATH Keywords

optimizationregularizationerrordirect simulation Monte Carlo method

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)

Cites Work

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• A combined approach to the estimation of statistical error of the direct simulation Monte Carlo method
• Convergence behavior of a new DSMC algorithm
• A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation
• Theoretical and numerical analysis of approaches to evaluation of statistical error of the DSMC method
• A hybrid method for the computation of a rarefied gas jet efflux through a very long channel into vacuum
• Comparison of the Shakhov kinetic equation and DSMC method as applied to space vehicle aerothermodynamics
• Two variants of Monte Carlo projection method for numerical solution of nonlinear Boltzmann equation
• Selection of sampling numerical parameters for the DSMC method
• Estimation of the statistical error of the direct simulation Monte Carlo method
• Time step truncation error in direct simulation Monte Carlo
• Analysis of discretization in the direct simulation Monte Carlo
• Statistical modelling of the solution of the nonlinear Boltzmann equation in the spatially inhomogeneous case
• Optimization of discretely stochastic procedures for globally estimating the solution of an integral equation of the second kind
• On the pair correlations of particle evolution in the direct statistical simulation
• Algorithms and Numerical Implementation of Imitation Monte Carlo Methods with Splitting for Problems of the Boltzmann Equation
• Accuracy of high-order lattice Boltzmann method for non-equilibrium gas flow
• A Probabilistic Automatic Steady State Detection Method for the Direct Simulation Monte Carlo
• The error of the splitting scheme for solving evolutionary equations

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