The Two Dimensional Riemann Problem in Gas Dynamics is popular PDF and ePub book, written by Jiequan Li in 2022-02-13, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Two Dimensional Riemann Problem in Gas Dynamics can be Read Online from any device for your convenience.
The Two Dimensional Riemann Problem in Gas Dynamics Book PDF Summary
The Riemann problem is the most fundamental problem in the entire field of non-linear hyperbolic conservation laws. Since first posed and solved in 1860, great progress has been achieved in the one-dimensional case. However, the two-dimensional case is substantially different. Although research interest in it has lasted more than a century, it has yielded almost no analytical demonstration. It remains a great challenge for mathematicians. This volume presents work on the two-dimensional Riemann problem carried out over the last 20 years by a Chinese group. The authors explore four models: scalar conservation laws, compressible Euler equations, zero-pressure gas dynamics, and pressure-gradient equations. They use the method of generalized characteristic analysis plus numerical experiments to demonstrate the elementary field interaction patterns of shocks, rarefaction waves, and slip lines. They also discover a most interesting feature for zero-pressure gas dynamics: a new kind of elementary wave appearing in the interaction of slip lines-a weighted Dirac delta shock of the density function. The Two-Dimensional Riemann Problem in Gas Dynamics establishes the rigorous mathematical theory of delta-shocks and Mach reflection-like patterns for zero-pressure gas dynamics, clarifies the boundaries of interaction of elementary waves, demonstrates the interesting spatial interaction of slip lines, and proposes a series of open problems. With applications ranging from engineering to astrophysics, and as the first book to examine the two-dimensional Riemann problem, this volume will prove fascinating to mathematicians and hold great interest for physicists and engineers.
Detail Book of The Two Dimensional Riemann Problem in Gas Dynamics PDF
- Author : Jiequan Li
- Release : 13 February 2022
- Publisher : Routledge
- ISBN : 9781351408882
- Genre : Mathematics
- Total Page : 318 pages
- Language : English
- PDF File Size : 11,8 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book The Two Dimensional Riemann Problem in Gas Dynamics by Jiequan Li, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.