Exact solutions of generalized Riemann problem for rate-type material

2019 ◽  
Vol 110 ◽  
pp. 16-20 ◽  
Author(s):  
Sueet Millon Sahoo ◽  
T. Raja Sekhar ◽  
G.P. Raja Sekhar
Keyword(s):  
Exact Solutions ◽  
Riemann Problem ◽  
Type Material ◽  
Generalized Riemann Problem ◽  
Rate Type

scholarly journals Riemann problem for rate-type materials with non-constant initial conditions

2021 ◽  
Author(s):  
R. Radha ◽  
Vishnu Dutt Sharma ◽  
Akshay Kumar
Keyword(s):  
Initial Data ◽  
Exact Solutions ◽  
Riemann Problem ◽  
Initial Conditions ◽  
Differential Invariants ◽  
Quasilinear Hyperbolic System ◽  
Rarefaction Waves ◽  
Genuine Nonlinearity ◽  
Rate Type ◽  
Complete Characterisation

In this paper, using the compatible theory of differential invariants, a class of exact solutions is obtained for nonhomogeneous quasilinear hyperbolic system of partial differential equations (PDEs) describing rate type materials; these solutions exhibit genuine nonlinearity that leads to the formation of discontinuities such as shocks and rarefaction waves. For certain nonconstant and smooth initial data, the solution to the Riemann problem is presented providing a complete characterisation of the solutions.

Junction-Generalized Riemann Problem for stiff hyperbolic balance laws in networks: An implicit solver and ADER schemes

2016 ◽  
Vol 315 ◽  
pp. 409-433 ◽  
Author(s):  
Christian Contarino ◽  
Eleuterio F. Toro ◽  
Gino I. Montecinos ◽  
Raul Borsche ◽  
Jochen Kall
Keyword(s):  
Riemann Problem ◽  
Balance Laws ◽  
Generalized Riemann Problem ◽  
Hyperbolic Balance Laws ◽  
Implicit Solver
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