scholarly journals Wavelet-based regularization of the Galerkin truncated three-dimensional incompressible Euler flows

2017 ◽  
Vol 96 (6) ◽  
Author(s):  
Marie Farge ◽  
Naoya Okamoto ◽  
Kai Schneider ◽  
Katsunori Yoshimatsu
Keyword(s):  
Three Dimensional ◽  
Euler Flows ◽  
Incompressible Euler

scholarly journals Three dimensional steady subsonic Euler flows in bounded nozzles

2014 ◽  
Vol 256 (11) ◽  
pp. 3684-3708 ◽  
Author(s):  
Chao Chen ◽  
Chunjing Xie
Keyword(s):  
Three Dimensional ◽  
Euler Flows

Three-Dimensional Full Euler Flows with Nontrivial Swirl in Axisymmetric Nozzles

2018 ◽  
Vol 50 (3) ◽  
pp. 2740-2772 ◽  
Author(s):  
Xuemei Deng ◽  
Tian-Yi Wang ◽  
Wei Xiang
Keyword(s):  
Three Dimensional ◽  
Euler Flows

scholarly journals Three-dimensional full Euler flows in axisymmetric nozzles

2013 ◽  
Vol 254 (7) ◽  
pp. 2705-2731 ◽  
Author(s):  
Ben Duan ◽  
Zhen Luo
Keyword(s):  
Three Dimensional ◽  
Euler Flows

Self-Organization in Three-Dimensional Hydrodynamic Turbulence Self-Organization in Three-Dimensional Hydrodynamic Turbulence

1990 ◽  
Vol 45 (9-10) ◽  
pp. 1059-1073 ◽  
Author(s):  
G. Knorr ◽  
J. P. Lynov ◽  
H. L. Pécseli
Keyword(s):  
Euler Equations ◽  
Initial Conditions ◽  
Three Dimensional ◽  
Self Organization ◽  
Two Dimensional ◽  
Hydrodynamic Turbulence ◽  
Available Energy ◽  
Wave Numbers ◽  
Negative Helicity ◽  
Incompressible Euler

Abstract The three-dimensional incompressible Euler equations are expanded in eigenflows of the curl operator, which represent positive and negative helicity flows in a particularly simple and convenient way. Four different basic types of interactions between eigenflows are found. Two represent an "inverse cascade", the interaction familiar from the two-dimensional Euler equations, in which only modes of the same sign of the helicity interact. The other two interactions mix positive and negative helicity modes. Only these interactions can transport all of the available energy to higher wave numbers. Initial conditions, which lead to the appearance of structures and self-organization, are discussed.

Quasineutral limit for a model of three-dimensional Euler–Poisson system with boundary

2018 ◽  
Vol 16 (02) ◽  
pp. 283-305
Author(s):  
Chundi Liu ◽  
Boyi Wang
Keyword(s):  
Boundary Layer ◽  
Three Dimensional ◽  
Expansion Method ◽  
Matched Asymptotic Expansion ◽  
Poisson System ◽  
Incompressible Euler Equation ◽  
Perturbation Problem ◽  
Quasineutral Limit ◽  
Asymptotic Expansion Method ◽  
Incompressible Euler

Quasineutral limit for a model of three-dimensional Euler–Poisson system in half space with a boundary layer is studied. Based on the matched asymptotic expansion method of singular perturbation problem and the elaborate energy method, we prove that the quasineutral regime is the incompressible Euler equation.

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