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Riemann problem and elementary wave interactions in isentropic magnetogasdynamics

DSpace at IIT Bombay

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Title Riemann problem and elementary wave interactions in isentropic magnetogasdynamics
 
Creator SEKHAR, TR
SHARMA, VD
 
Subject hyperbolic systems
conservation-laws
global-solutions
extended class
equations
flow
polytropic gas
shock wave
rarefaction wave
riemann problem
wave interaction
 
Description In this paper, we consider the Riemann problem for a quasilinear hyperbolic system of equations governing the one dimensional unsteady simple wave flow of an isentropic, inviscid and perfectly conducting compressible fluid, subjected to a transverse magnetic field. This class of equations includes, as a special case, the equations of isentropic gasdynamics. We study the shock and rarefaction waves and their properties, and discuss the geometry of shock curves using the Riemann invariant coordinates. Under certain conditions, we show the existence and uniqueness of the solution to the Riemann problem for arbitrary initial data, and then discuss the vacuum state in isentropic magnetogasdynamics. Finally, we discuss numerical results for different initial data, and discuss all possible interactions of elementary waves. It is noticed that although the magnetogasdynamic system is more complex than the corresponding gasdynamic system, all the parallel results remain identical. However, unlike the ordinary gasdynamic case, the solution inside rarefaction waves in magnetogasdynamics cannot be obtained directly and explicitly; indeed, it requires an extra iteration procedure. It is also observed that the presence of a magnetic field makes both the shock and rarefaction stronger compared to what they would have been in the absence of a magnetic field. (C) 2008
 
Publisher PERGAMON-ELSEVIER SCIENCE LTD
 
Date 2011-08-26T08:29:36Z
2011-12-26T12:57:22Z
2011-12-27T05:47:29Z
2011-08-26T08:29:36Z
2011-12-26T12:57:22Z
2011-12-27T05:47:29Z
2010
 
Type Article
 
Identifier NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 11(2), 619-636
1468-1218
http://dx.doi.org/10.1016/j.nonrwa.2008.10.036
http://dspace.library.iitb.ac.in/xmlui/handle/10054/11251
http://hdl.handle.net/10054/11251
 
Language en