The Riemann Problem And Interaction Of Waves In Gas Dynamics
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The Riemann Problem and Interaction of Waves in Gas Dynamics
Author: Tong Zhang
language: en
Publisher: Longman Scientific and Technical
Release Date: 1989
This monograph on shock wave theory contains much original work previously unpublished in the West covering the scalar conservation law, one-dimensional isothermal flow in an ideal gas, one-dimensional adiabatic flow, and two-dimensional flow (which is yet little understood). Includes 189 line drawings. Annotation copyrighted by Book News, Inc., Portland, OR
The Riemann Problem for the Transportation Equations in Gas Dynamics
Author: Wancheng Sheng
language: en
Publisher: American Mathematical Soc.
Release Date: 1999
In this volume, the one-dimensional and two-dimensional Riemann problems for the transportation equations in gas dynamics are solved constructively. In either the 1-D or 2-D case, there are only two kinds of solutions: one involves Dirac delta waves, and the other involves vacuums, which has been merely discussed so far. The generalized Rankine-Hugoniot and entropy conditions for Dirac delta waves are clarified with viscous vanishing method. All of the existence, uniqueness and stability for viscous perturbations are proved analytically
Ray Methods for Nonlinear Waves in Fluids and Plasmas
Presents in a systematic and unified manner the ray method, in its various forms, for studying nonlinear wave propagation in situations of physical interest, essentially fluid dynamics and plasma physics.