Strictly convex entropy and entropy stable schemes for reactive Euler equations

2021 ◽  
Author(s):  
Weifeng Zhao
Keyword(s):  
Euler Equations ◽  
Strictly Convex ◽  
Reactive Euler Equations ◽  
Entropy Stable

Entropy-stable summation-by-parts discretization of the Euler equations on general curved elements

2018 ◽  
Vol 356 ◽  
pp. 410-438 ◽  
Author(s):  
Jared Crean ◽  
Jason E. Hicken ◽  
David C. Del Rey Fernández ◽  
David W. Zingg ◽  
Mark H. Carpenter
Keyword(s):  
Euler Equations ◽  
Summation By Parts ◽  
Curved Elements ◽  
Entropy Stable

scholarly journals On a stabilization mechanism for low-velocity detonations

2017 ◽  
Vol 816 ◽  
pp. 539-553 ◽  
Author(s):  
Aliou Sow ◽  
Roman E. Semenko ◽  
Aslan R. Kasimov
Keyword(s):  
Steady State ◽  
Shock Waves ◽  
Euler Equations ◽  
Nonlinear Stability ◽  
Heat Losses ◽  
Stabilization Mechanism ◽  
Low Velocity ◽  
One Dimensional ◽  
Gaseous Detonations ◽  
Reactive Euler Equations

We use numerical simulations of the reactive Euler equations to analyse the nonlinear stability of steady-state one-dimensional solutions for gaseous detonations in the presence of both momentum and heat losses. Our results point to a possible stabilization mechanism for the low-velocity detonations in such systems. The mechanism stems from the existence of a one-parameter family of solutions found in Semenko et al. (Shock Waves, vol. 26 (2), 2016, pp. 141–160).

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