Upwind Interpolation near 1-D Hanging Node Interfaces for Compressible Euler Equation Building-Cube Method Simulations

2022 ◽  
Author(s):  
Srikanth Surendranath ◽  
Akira Oyama ◽  
Ryoji Takaki
Keyword(s):  
Euler Equation ◽  
Compressible Euler Equation ◽  
Hanging Node ◽  
Compressible Euler

Stability and Unstability of the Standing Wave to Euler Equations

2017 ◽  
Vol 9 (4) ◽  
pp. 818-838
Author(s):  
Xiuli Tang ◽  
Xiuqing Wang ◽  
Ganshan Yang
Keyword(s):  
Saddle Point ◽  
Euler Equation ◽  
Euler Equations ◽  
Standing Wave ◽  
Well Posedness ◽  
Compressible Euler Equation ◽  
Compressible Euler ◽  
Local Solutions ◽  
The Stability

AbstractIn this paper, we first discuss the well-posedness of linearizing equations, and then study the stability and unstability of the 3-D compressible Euler Equation, by analysing the existence of saddle point. In addition, we give the existence of local solutions of the compressible Euler equation.

Irrotational Blowup of the Solution to Compressible Euler Equation

2013 ◽  
Vol 15 (3) ◽  
pp. 617-633 ◽  
Author(s):  
Takashi Suzuki
Keyword(s):  
Euler Equation ◽  
Compressible Euler Equation ◽  
Compressible Euler

Global weak solutions of the compressible Euler equation with spherical symmetry (II)

1994 ◽  
Vol 11 (3) ◽  
pp. 417-426 ◽  
Author(s):  
Tetu Makino ◽  
Kiyoshi Mizohata ◽  
Seiji Ukai
Keyword(s):  
Euler Equation ◽  
Weak Solutions ◽  
Spherical Symmetry ◽  
Compressible Euler Equation ◽  
Global Weak Solutions ◽  
Compressible Euler

scholarly journals Smooth solutions of the one-dimensional compressible Euler equation with gravity

2016 ◽  
Vol 260 (1) ◽  
pp. 708-732 ◽  
Author(s):  
Cheng-Hsiung Hsu ◽  
Song-Sun Lin ◽  
Chi-Ru Yang
Keyword(s):  
Euler Equation ◽  
Compressible Euler Equation ◽  
Smooth Solutions ◽  
One Dimensional ◽  
Compressible Euler ◽  
The One
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