Mathematical Analysis of Shock Wave Reflection

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  • Author : Shuxing Chen
  • Publisher : Springer Nature
  • Pages : 251 pages
  • ISBN : 9811577528
  • Rating : /5 from reviews
CLICK HERE TO GET THIS BOOK >>>Mathematical Analysis of Shock Wave Reflection

Download or Read online Mathematical Analysis of Shock Wave Reflection full in PDF, ePub and kindle. this book written by Shuxing Chen and published by Springer Nature which was released on 04 September 2020 with total page 251 pages. We cannot guarantee that Mathematical Analysis of Shock Wave Reflection book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. This book is aimed to make careful analysis to various mathematical problems derived from shock reflection by using the theory of partial differential equations. The occurrence, propagation and reflection of shock waves are important phenomena in fluid dynamics. Comparing the plenty of studies of physical experiments and numerical simulations on this subject, this book makes main efforts to develop the related theory of mathematical analysis, which is rather incomplete so far. The book first introduces some basic knowledge on the system of compressible flow and shock waves, then presents the concept of shock polar and its properties, particularly the properties of the shock polar for potential flow equation, which are first systematically presented and proved in this book. Mathematical analysis of regular reflection and Mach reflection in steady and unsteady flow are the most essential parts of this book. To give challenges in future research, some long-standing open problems are listed in the end. This book is attractive to researchers in the fields of partial differential equations, system of conservation laws, fluid dynamics, and shock theory.

Mathematical Analysis of Shock Wave Reflection

Mathematical Analysis of Shock Wave Reflection
  • Author : Shuxing Chen
  • Publisher : Springer Nature
  • Release : 04 September 2020
GET THIS BOOK Mathematical Analysis of Shock Wave Reflection

This book is aimed to make careful analysis to various mathematical problems derived from shock reflection by using the theory of partial differential equations. The occurrence, propagation and reflection of shock waves are important phenomena in fluid dynamics. Comparing the plenty of studies of physical experiments and numerical simulations on this subject, this book makes main efforts to develop the related theory of mathematical analysis, which is rather incomplete so far. The book first introduces some basic knowledge on the

Shock Wave Reflection Phenomena

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  • Publisher : Springer Science & Business Media
  • Release : 29 June 2013
GET THIS BOOK Shock Wave Reflection Phenomena

The phenomenon of shock wave reflection was first reported by the distinguished philosopher Ernst Mach in 1878. Its study was then abandoned for a period of about 60 years until its investigation was initiated in the early 1940s by Professor John von Neumann and Professor Bleakney. Under their supervision, 15 years of intensive research related to various aspects of the reflection of shock waves in pseudo-steady flows were carried out. It was during this period that the four basic shock wave reflection configurations

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  • Publisher : CRC Press
  • Release : 18 December 2012
GET THIS BOOK Shock Wave Dynamics

Working knowledge of the relations of various quantities and their derivatives across a shock wave is useful for any advanced research involving shock waves. Although these relations can be derived in principle by any diligent student of the subject, the derivations are often not trivial, and once derived, neither the approach nor the result can be confidently verified. Comprehensive and analytical, Shock Wave Dynamics: Derivatives and Related Topics includes not only the final results but also the methods, which are

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Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows
  • Author : V.V. Aristov
  • Publisher : Springer Science & Business Media
  • Release : 30 November 2001
GET THIS BOOK Direct Methods for Solving the Boltzmann Equation and Study of Nonequilibrium Flows

This book is concerned with the methods of solving the nonlinear Boltz mann equation and of investigating its possibilities for describing some aerodynamic and physical problems. This monograph is a sequel to the book 'Numerical direct solutions of the kinetic Boltzmann equation' (in Russian) which was written with F. G. Tcheremissine and published by the Computing Center of the Russian Academy of Sciences some years ago. The main purposes of these two books are almost similar, namely, the study of

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  • Author : Eitan Tadmor,Jian-Guo Liu,Athanasios E. Tzavaras
  • Publisher : American Mathematical Soc.
  • Release : 29 November 2021
GET THIS BOOK Hyperbolic Problems Plenary and invited talks

The International Conference on Hyperbolic Problems: Theory, Numerics and Applications, 'HYP2008', was held at the University of Maryland from June 9-13, 2008. This was the twelfth meeting in the bi-annual international series of HYP conferences which originated in 1986 at Saint-Etienne, France, and over the last twenty years has become one of the highest quality and most successful conference series in Applied Mathematics. This book, the first in a two-part volume, contains nineteen papers based on plenary and invited talks presented

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  • Author : W. Brent Lindquist,American Mathematical Society
  • Publisher : American Mathematical Soc.
  • Release : 29 November 1989
GET THIS BOOK Current Progress in Hyperbolic Systems Riemann Problems and Computations

The study of Riemann problems has undergone a strong, steady growth in the last decade. The general direction of the research has headed toward understanding the wave structure of the solutions of more physically realistic systems. These systems fail either or both of the two main restrictions of the classical theory - that the system be strictly hyperbolic or genuinely nonlinear. The systems that have been studied tend to fall into the following broad classes: real gas dynamics (including combustion),

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Supersonic Flow and Shock Waves
  • Author : Richard Courant,K.O. Friedrichs
  • Publisher : Springer Science & Business Media
  • Release : 11 February 1999
GET THIS BOOK Supersonic Flow and Shock Waves

Courant and Friedrich's classical treatise was first published in 1948 and tThe basic research for it took place during World War II. However, many aspects make the book just as interesting as a text and a reference today. It treats the dynamics of compressible fluids in mathematical form, and attempts to present a systematic theory of nonlinear wave propagation, particularly in relation to gas dynamics. Written in the form of an advanced textbook, it should appeal to engineers, physicists and mathematicians