Comparison Between The Navier-Stokes And
The Boltzmann Equations For The Simulation Of
An Axially Symmetric Compressible Flow With
Shock Wave Using The Monte-Carlo Method
Author(s)
S. S. Nourazar, S. M. Hosseini, A. Ramazani,
& H. R. Dehghanpour
Abstract
An axially symmetric compressible flow past a flat-nosed cylinder at high
velocity and low pressure with shock wave is simulated using the Navier-Stokes
equation and the Boltzmann equation. The results of the two simulations
(Navier-Stokes and Boltzmann) are compared in terms of different Knudsen
numbers. In the region close to the shock wave the discrepancies between the
results of simulation of the Navier-Stokes equations and the Boltzmann equation
for the temperature, the axial velocity and the radial velocity along the boundary
is not pronounced. However the discrepancies in the region close to the shock
wave for the density is pronounced.
Keywords: Boltzmann equation, DSMC.
1 Introduction
In the simulation of gas dynamics problems where the velocity distribution is a
strict Maxwellian the Euler equation is to be solved. However in the simulation
of gas dynamics problems where the velocity distribution is a moderately
distorted Maxwellian the Navier-Stokes equation is to be solved.
In the gas flow problems where the length scale of the system is comparable
to the mean free path for molecules in the gas flow the concept of the continuum
Keywords
Boltzmann equation, DSMC.
Related Book
Other papers in this volume
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