Study of a shock wave structure in gas mixtures on the basis of the Boltzmann equation

DOI10.1016/S0997-7546(02)01197-4zbMath1012.76041OpenAlexW2048122927MaRDI QIDQ1871579

Alla Raines

Publication date: 4 May 2003

Published in: European Journal of Mechanics. B. Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0997-7546(02)01197-4

zbMATH Keywords

shock wavecollision integralcylindrical symmetryconservative discrete ordinate methodkinetic Boltzmann equationbinary gas mixturehard sphere molecules

Mathematics Subject Classification ID

Shock waves and blast waves in fluid mechanics (76L05) Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05)

Related Items (10)

A numerical algorithm for kinetic modelling of evaporation processes ⋮ Towards adaptive kinetic-fluid simulations of weakly ionized plasmas ⋮ Sub-shock formation in Grad 10-moment equations for a binary gas mixture ⋮ Shock structure and entropy growth in a gaseous binary mixture with viscous and thermal dissipation ⋮ Conservative approximation schemes of kinetic equations for chemical reactions ⋮ Structure of planar shock waves in gaseous mixtures based on ab initio direct simulation ⋮ Conservative numerical methods for model kinetic equations ⋮ Successive scaling of quasiparticle velocities on a time step in the kinetic force method with a two-particle distribution function ⋮ Sub-shock Formation in Reacting Gas Mixtures ⋮ Shock Structure and Temperature Overshoot in Macroscopic Multi-temperature Model of Binary Mixtures

Uses Software

• SHASTA

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Regularized Boltzmann operators
• Conservative evaluation of Boltzmann collision integral in discrete ordinates approximation
• Example of simultaneous numerical solution of the Boltzmann and Navier-Stokes equations.
• ABOUT THE SPLITTING ALGORITHM FOR BOLTZMANN AND B.G.K. EQUATIONS
• Conservative and Entropy Schemes for Boltzmann Collision Operator of Polyatomic Gases
• On a simulation scheme for the Boltzmann equation
• Shock wave structure in gas mixtures with large mass disparity
• Structure of normal shock waves: Direct numerical analysis of the Boltzmann equation for hard-sphere molecules
• THE SEMICONTINUOUS BOLTZMANN EQUATION FOR GAS MIXTURES
• A direct method for solving the Boltzmann equation
• A Consistency Result for a Discrete-Velocity Model of the Boltzmann Equation
• A semi-continuous extended kinetic model
• A semi-continuous extended kinetic model for bimolecular chemical reactions
• Numerical study of discrete-velocity gases
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works
• Shock-wave structure for a binary gas mixture: Finite difference analysis of the Boltzmann equation for hard-sphere molecules

This page was built for publication: Study of a shock wave structure in gas mixtures on the basis of the Boltzmann equation