Analytical and Numerical Solutions of Boundary Value Problems for the Regularized 13 Moment Equations
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Date
2011-05
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AIP Conference Proceedings
Abstract
Classical hydrodynamics—the laws of Navier-Stokes and Fourier—fails in the description of processes in rarefied gases. For not too large Knudsen numbers, extended macroscopic models offer an alternative to the solution of the Boltzmann equations. Anlytical and numerical solutions show that the regularized 13 moment equations can capture all important linear and non-linear rarefaction effects with good accuracy.
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Keywords
Mathematics, Hydrodynamics, Navier-Stokes equations, Rarefied gas dynamics, Numerical analysis, Kinetic theory of gases, Ordinary and partial differential equations, Boundary value problems