Science · 1989 · 126 citations · 14 references
Natural SciencesPhysicsComputational Fluid DynamicsFluid DynamicsMolecular PhysicsMolecular DynamicsMolecular SimulationShock WavesStatistical MechanicsMonte Carlo Simulation ModelingNonequilibrium DynamicsNormal Shock WavesShock DynamicsShock Wave ModelingShock Wave StructureVelocity DistributionVelocity Distribution Functions
Molecular velocities have been measured inside a hypersonic, normal shock wave, where the gas experiences rapid changes in its macroscopic properties. As first hypothesized by Mott-Smith, but never directly observed, the molecular velocity distribution exhibits a qualitatively bimodal character that is derived from the distribution functions on either side of the shock. Quantitatively correct forms of the molecular velocity distribution function in highly nonequilibrium flows can be calculated, by means of the Direct Simulation Monte Carlo technique.
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The Solution of the Boltzmann Equation for a Shock Wave
H. M. Mott-Smith · Physical Review · 1951 · 531 citations · Full text
Monte Carlo Simulation of Gas Flows
G. A. Bird · Annual Review of Fluid Mechanics · 1978 · 245 citations