Numerical analysis of a shock-wave solution of the Enskog equation obtained via a Monte Carlo method

DOI10.1007/BF01052757zbMath1101.82335OpenAlexW1971590345MaRDI QIDQ2499923

Carlo Sgarra, Aldo Frezzotti

Publication date: 23 August 2006

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

Full work available at URL: https://doi.org/10.1007/bf01052757

zbMATH Keywords

Enskog equationgas dynamicsdense gasesKinetic theoryshock wave - Monte Carlo methods

Mathematics Subject Classification ID

Related Items (8)

Fast spectral solution of the generalized Enskog equation for dense gases ⋮ Molecular dynamics and Enskog theory calculation of shock profiles in a dense hard sphere gas ⋮ Molecular kinetic modelling of non-equilibrium transport of confined van der Waals fluids ⋮ A discontinuous Galerkin finite-element method for a 1D prototype of the Boltzmann equation ⋮ A particle scheme for the numerical solution of the Enskog equation ⋮ The kinetic Shakhov–Enskog model for non-equilibrium flow of dense gases ⋮ Grid-free particle method for the inhomogeneous Enskog equation and its application to a Riemann problem ⋮ Monte Carlo simulation of the heat flow in a dense hard sphere gas

Cites Work

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• Global existence in \(L^ 1\) for the Enskog equation and convergence of the solutions to solutions of the Boltzmann equation
• Direct numerical solution of the Boltzmann equation for a relaxation problem of a binary mixture of hard sphere gases
• The conservative splitting method for solving Boltzmann's equation
• Extension of the Mott-Smith method to denser gases
• The Solution of the Boltzmann Equation for a Shock Wave

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