Riemann Problem for the Transportation Equations in Gas Dynamics
Author | : Wancheng Sheng |
Publisher | : Oxford University Press, USA |
Total Pages | : 93 |
Release | : 2014-09-11 |
ISBN-10 | : 1470402432 |
ISBN-13 | : 9781470402433 |
Rating | : 4/5 (433 Downloads) |
Download or read book Riemann Problem for the Transportation Equations in Gas Dynamics written by Wancheng Sheng and published by Oxford University Press, USA. This book was released on 2014-09-11 with total page 93 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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