Improvement of the Grad 13 moment method for strong shock waves

DOI10.1063/1.1373681zbMath1184.76404OpenAlexW1984743514MaRDI QIDQ3555560

Young Gie Ohr

Publication date: 22 April 2010

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

Full work available at URL: https://doi.org/10.1063/1.1373681

zbMATH Keywords

Boltzmann equationsupersonic flowshock wavesMach numberflow simulation

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Related Items (3)

Higher moments of the velocity distribution function in dense-gas shocks ⋮ Inconsistency in the moment's method for solving the Boltzmann equation ⋮ -theorem and boundary conditions for the linear R26 equations: application to flow past an evaporating droplet

Cites Work

• Shock structure for heat conducting and viscid fluids
• A note on Mott-Smith's solution of the Boltzmann equation for a shock wave
• The structure of normal shock waves in polytropic gases
• On simulation methods for the Boltzmann equation
• Nonequilibrium gas flows. I: A detailed validation of Monte Carlo direct simulation for monatomic gases
• Structure of normal shock waves: Direct numerical analysis of the Boltzmann equation for hard-sphere molecules
• Shock-wave structure and intermolecular collision laws
• Weak shock structure on the basis of modified hydrodynamical equations
• Shock waves for compressible navier‐stokes equations are stable
• Existence of Kinetic Theory Solutions to the Shock Structure Problem
• Minimum error solutions of the Boltzmann equation for shock structure
• Extension of the Mott-Smith Method for a One-Dimensional Shock Wave
• 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

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