A Discrete Velocity Numerical Scheme for the Two-Dimensional Bitemperature Euler System

2022 ◽  
Vol 60 (1) ◽  
pp. 28-51
Author(s):  
Denise Aregba-Driollet ◽  
Stéphane Brull ◽  
Corentin Prigent
Keyword(s):  
Numerical Scheme ◽  
Euler System ◽  
Two Dimensional ◽  
Discrete Velocity

Conservative Finite-Difference Scheme for High-Frequency Acoustic Waves Propagating at an Interface Between Two Media

2012 ◽  
Vol 11 (2) ◽  
pp. 351-366
Author(s):  
J. Staudacher ◽  
É Savin
Keyword(s):  
Phase Space ◽  
Acoustic Waves ◽  
High Frequency ◽  
Numerical Scheme ◽  
Propagation Model ◽  
Uniform Grid ◽  
Two Dimensional ◽  
Reflection And Transmission ◽  
Conservative Finite Difference Scheme ◽  
Homogeneous Media

AbstractThis paper is an introduction to a conservative, positive numerical scheme which takes into account the phenomena of reflection and transmission of high frequency acoustic waves at a straight interface between two homogeneous media. Explicit forms of the interpolation coefficients for reflected and transmitted wave vectors on a two-dimensional uniform grid are derived. The propagation model is a Liouville transport equation solved in phase space.

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