scholarly journals Non-monotonic traveling wave and computational solutions for gas dynamics Euler equations with stiff relaxation source terms

2015 ◽  
Vol 70 (9) ◽  
pp. 2155-2176 ◽  
Author(s):  
Eduardo Abreu ◽  
Abel Bustos ◽  
Wanderson Lambert
Keyword(s):  
Euler Equations ◽  
Traveling Wave ◽  
Gas Dynamics ◽  
Source Terms ◽  
Stiff Relaxation

scholarly journals A low-Mach Roe-type solver for the Euler equations allowing for gravity source terms

2017 ◽  
Vol 58 ◽  
pp. 27-39 ◽  
Author(s):  
Wasilij Barsukow ◽  
Philipp V.F. Edelmann ◽  
Christian Klingenberg ◽  
Friedrich K. Röpke
Keyword(s):  
Euler Equations ◽  
Source Terms

Reprint of: Finite volume methods for multi-component Euler equations with source terms

2018 ◽  
Vol 169 ◽  
pp. 40-61
Author(s):  
Alfredo Bermúdez ◽  
Xián López ◽  
M. Elena Vázquez-Cendón
Keyword(s):  
Euler Equations ◽  
Finite Volume ◽  
Finite Volume Methods ◽  
Source Terms

scholarly journals A Runge Kutta Discontinuous Galerkin Method for Lagrangian Compressible Euler Equations in Two-Dimensions

2014 ◽  
Vol 15 (4) ◽  
pp. 1184-1206 ◽  
Author(s):  
Zhenzhen Li ◽  
Xijun Yu ◽  
Jiang Zhu ◽  
Zupeng Jia
Keyword(s):  
Euler Equations ◽  
Discontinuous Galerkin ◽  
Gas Dynamics ◽  
Two Dimensions ◽  
Oscillatory Property ◽  
Order Accuracy ◽  
Numerical Tests ◽  
Compressible Euler ◽  
Free Parameters ◽  
Runge Kutta

AbstractThis paper presents a new Lagrangian type scheme for solving the Euler equations of compressible gas dynamics. In this new scheme the system of equations is discretized by Runge-Kutta Discontinuous Galerkin (RKDG) method, and the mesh moves with the fluid flow. The scheme is conservative for the mass, momentum and total energy and maintains second-order accuracy. The scheme avoids solving the geometrical part and has free parameters. Results of some numerical tests are presented to demonstrate the accuracy and the non-oscillatory property of the scheme.

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