A combined approach to the estimation of statistical error of the direct simulation Monte Carlo method

DOI10.1134/S0965542515110135zbMath1446.76151MaRDI QIDQ267568

E. V. Shkarupa, M. Yu. Plotnikov

Publication date: 8 April 2016

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

zbMATH Keywords

direct simulation Monte Carlo methodnumerical solution of rarefied gas dynamics problemsstatistical error

Mathematics Subject Classification ID

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

Related Items

Error estimation and optimization of the direct simulation Monte Carlo method taking into account spatial regularization ⋮ Two approaches to calculating composition of rarefied gas mixture exposed to chemical reactions at flow through cylindrical channel

Cites Work

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• Estimating hydrodynamic quantities in the presence of microscopic fluctuations
• Theoretical and numerical analysis of approaches to evaluation of statistical error of the DSMC method
• Statistical error in particle simulations of hydrodynamic phenomena.
• Selection of sampling numerical parameters for the DSMC method
• Efficient method for computing rarefied gas flow in a long finite plane channel
• Estimation of the statistical error of the direct simulation Monte Carlo method
• Some approaches to error analysis and optimization of the DSMC method
• Statistical modelling of the solution of the nonlinear Boltzmann equation in the spatially inhomogeneous case
• COMPUTATIONAL HYPERSONIC RAREFIED FLOWS
• Stochastic algorithms for solving Smolouchovsky coagulation equation and applications to aerosol growth simulation.
• Dynamics of pulsed expansion of polyatomic gas cloud: Internal-translational energy transfer contribution
• Shock structure in low density gas mixture flows over cylinders and plates