Riemann problem and elementary wave interactions in isentropic magnetogasdynamics

2010 ◽  
Vol 11 (2) ◽  
pp. 619-636 ◽  
Author(s):  
T. Raja Sekhar ◽  
V.D. Sharma
Keyword(s):  
Riemann Problem ◽  
Wave Interactions ◽  
Elementary Wave

scholarly journals Four-Quadrant Riemann Problem for a 2×2 System II

Mathematics ◽  
2021 ◽  
Vol 9 (6) ◽  
pp. 592
Author(s):  
Jinah Hwang ◽  
Suyeon Shin ◽  
Myoungin Shin ◽  
Woonjae Hwang
Keyword(s):  
Initial Data ◽  
Riemann Problem ◽  
Numerical Solutions ◽  
Analytic Solutions ◽  
Wave Interactions ◽  
Delta Shock ◽  
Elementary Wave ◽  
Initial Discontinuity ◽  
The Rich ◽  
Four Quadrant

In previous work, we considered a four-quadrant Riemann problem for a 2×2 hyperbolic system in which delta shock appears at the initial discontinuity without assuming that each jump of the initial data projects exactly one plane elementary wave. In this paper, we consider the case that does not involve a delta shock at the initial discontinuity. We classified 18 topologically distinct solutions and constructed analytic and numerical solutions for each case. The constructed analytic solutions show the rich structure of wave interactions in the Riemann problem, which coincide with the computed numerical solutions.

Elementary wave interactions in blood flow through artery

2017 ◽  
Vol 58 (10) ◽  
pp. 101502 ◽  
Author(s):  
T. Raja Sekhar ◽  
Minhajul
Keyword(s):  
Blood Flow ◽  
Wave Interactions ◽  
Elementary Wave ◽  
Flow Through

Solution of the Riemann problem for an ideal polytropic dusty gas in magnetogasdynamics

2020 ◽  
Vol 75 (6) ◽  
pp. 511-522 ◽  
Author(s):  
Astha Chauhan ◽  
Rajan Arora
Keyword(s):  
Riemann Problem ◽  
Solid Particles ◽  
Dusty Gas ◽  
Rarefaction Waves ◽  
Linear System Of Equations ◽  
Simple Waves ◽  
Elementary Wave ◽  
The One ◽  
Quasi Linear System ◽  
Elementary Waves

AbstractThe main aim of this paper is, to obtain the analytical solution of the Riemann problem for a quasi-linear system of equations, which describe the one-dimensional unsteady flow of an ideal polytropic dusty gas in magnetogasdynamics without any restriction on the initial data. By using the Rankine-Hugoniot (R-H) and Lax conditions, the explicit expressions of elementary wave solutions (i. e., shock waves, simple waves and contact discontinuities) are derived. In the flow field, the velocity and density distributions for the compressive and rarefaction waves are discussed and shown graphically. It is also shown how the presence of small solid particles and magnetic field affect the velocity and density across the elementary waves. It is an interesting fact about this study that the results obtained for the Riemann problem are in closed form.

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