Convergence analysis of the direct simulation Monte Carlo based on the physical laws of conservation

DOI10.1016/j.compfluid.2015.03.022zbMath1390.76174OpenAlexW2086770454MaRDI QIDQ1645750

A. Karchani, R. S. Myong

Publication date: 22 June 2018

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2015.03.022

zbMATH Keywords

verificationconservation lawsdirect simulation Monte Carlocomputational errortime-stepcell-sizeconvergence history

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Direct numerical and large eddy simulation of turbulence (76F65)

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A super-parallel mixed explicit discontinuous Galerkin method for the second-order Boltzmann-based constitutive models of rarefied and microscale gases ⋮ Two approaches to calculating composition of rarefied gas mixture exposed to chemical reactions at flow through cylindrical channel

Cites Work

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• Impact of computational physics on multi-scale CFD and related numerical algorithms
• A generalized hydrodynamic computational model for rarefied and microscale diatomic gas flows
• A triangular discontinuous Galerkin method for non-Newtonian implicit constitutive models of rarefied and microscale gases
• Gas mixing in microchannels using the direct simulation Monte Carlo method
• A convergence proof for Bird's direct simulation Monte Carlo method for the Boltzmann equation
• The Boltzmann equation and its applications
• Computational simulations of microscale shock-vortex interaction using a mixed discontinuous Galerkin method
• Statistical error in particle simulations of hydrodynamic phenomena.
• Statistical error analysis for the direct simulation Monte Carlo technique
• Direct simulation of gas flows at the molecular level
• Thermodynamically consistent hydrodynamic computational models for high-Knudsen-number gas flows
• Time step truncation error in direct simulation Monte Carlo
• Analysis of discretization in the direct simulation Monte Carlo
• Direct simulation Monte Carlo for thin-film bearings
• On the kinetic theory of rarefied gases
• The Solution of the Boltzmann Equation for a Shock Wave
• The profile of a steady plane shock wave
• A computational method for Eu's generalized hydrodynamic equations of rarefied and microscale gasdynamics
• Analysis of micro-scale gas flows with pressure boundaries using direct simulation Monte Carlo method

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