A numerical method for vortex confinement in compressible flow

2000 ◽  
Author(s):  
Guangchu Hu ◽  
Bernard Grossman ◽  
John Steinhoff
Keyword(s):  
Numerical Method ◽  
Compressible Flow

Numerical method for vorticity confinement in compressible flow

AIAA Journal ◽  
2002 ◽  
Vol 40 ◽  
pp. 1945-1953
Author(s):  
G. Hu ◽  
B. Grossman ◽  
J. Steinhoff
Keyword(s):  
Numerical Method ◽  
Compressible Flow ◽  
Vorticity Confinement

A hybrid numerical method and its application to inviscid compressible flow problems

2014 ◽  
Vol 185 (2) ◽  
pp. 479-488 ◽  
Author(s):  
Ghislain Tchuen ◽  
Ferdinand Fogang ◽  
Yves Burtschell ◽  
Paul Woafo
Keyword(s):  
Numerical Method ◽  
Compressible Flow ◽  
Flow Problems ◽  
Hybrid Numerical Method ◽  
Inviscid Compressible Flow

The compressible vortex pair

1990 ◽  
Vol 220 ◽  
pp. 339-354 ◽  
Author(s):  
S. D. Heister ◽  
J. M. Mcdonough ◽  
A. R. Karagozian ◽  
D. W. Jenkins
Keyword(s):  
Flow Field ◽  
Numerical Solution ◽  
Numerical Method ◽  
Compressible Flow ◽  
Vortex Pair ◽  
Flow Speed ◽  
Special Treatment ◽  
Two Dimensional ◽  
Potential Equation ◽  
Weak Shocks

A numerical solution for the flow field associated with a compressible pair of counter-rotating vortices is developed. The compressible, two-dimensional potential equation is solved utilizing the numerical method of Osher et al. (1985) for flow regions in which a non-zero density exists. Close to the vortex centres, vacuum ‘cores’ develop owing to the existence of a maximum achievable flow speed in a compressible flow field. A special treatment is required to represent these vacuum cores. Typical streamline patterns and core boundaries are obtained for upstream Mach numbers as high as 0.3, and the formation of weak shocks, predicted by Moore & Pullin (1987), is observed.

A Numerical Method on Eulerian Grids for Two-Phase Compressible Flow

2016 ◽  
Vol 8 (2) ◽  
pp. 187-212 ◽  
Author(s):  
Yonghui Guo ◽  
Ruo Li ◽  
Chengbao Yao
Keyword(s):  
Numerical Method ◽  
Compressible Flow ◽  
Phase Interface ◽  
Interface Velocity ◽  
Finite Volume Scheme ◽  
Numerical Instability ◽  
Two Phase ◽  
Material Parameters ◽  
Cell Fragments ◽  
Natural Way

AbstractWe develop a numerical method to simulate a two-phase compressible flow with sharp phase interface on Eulerian grids. The scheme makes use of a levelset to depict the phase interface numerically. The overall scheme is basically a finite volume scheme. By approximately solving a two-phase Riemann problem on the phase interface, the normal phase interface velocity and the pressure are obtained, which is used to update the phase interface and calculate the numerical flux between the flows of two different phases. We adopt an aggregation algorithm to build cell patches around the phase interface to remove the numerical instability due to the breakdown of the CFL constraint by the cell fragments given by the phase interface depicted using the levelset function. The proposed scheme can handle problems with tangential sliping on the phase interface, topological change of the phase interface and extreme contrast in material parameters in a natural way. Though the perfect conservation of the mass, momentum and energy in global is not achieved, it can be quantitatively identified in what extent the global conservation is spoiled. Some numerical examples are presented to validate the numerical method developed.

Numerical Method for Vorticity Confinement in Compressible Flow

AIAA Journal ◽  
2002 ◽  
Vol 40 (10) ◽  
pp. 1945-1953 ◽  
Author(s):  
Guangchu Hu ◽  
Bernard Grossman ◽  
John Steinhoff
Keyword(s):  
Numerical Method ◽  
Compressible Flow ◽  
Vorticity Confinement
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