DNS of Compressible Channel Flow Using Low-Diffusion High-Order Upwind Schemes

Author(s):  
G.A. Gerolymos ◽  
D. Senechal ◽  
I. Vallet
Author(s):  
H. Q. Yang ◽  
Z. J. Chen ◽  
Jonathan G. Dudley

There has been a growing interest in higher-order spatial discretization methods due to their potential for delivering high accuracy at reasonable computational overhead for the Direct Numerical Simulation (DNS) of vortex-dominated flows. Many of the existing high-order schemes for unstructured grids use more degrees-of-freedom (DOF) in each cell to achieve high-order accuracy. This paper formulates and demonstrates a high-order correction method for unstructured grids. Using this approach, there is no increase in DOF within each cell. By adding higher order correction terms, higher order accuracy can be achieved. The present technique is innovative in that it can be readily added to existing lower order solvers, it can achieve very high-order accuracy, it is stable, and it can make use of either central or upwind schemes. Many examples are presented and used to demonstrate the high-order accuracy.


2010 ◽  
Vol 22 (S1) ◽  
pp. 215-218 ◽  
Author(s):  
Jian-ping Luo ◽  
Zhi-ming Lu ◽  
TatsLo Ushijima ◽  
Osami Kitoh ◽  
Xiang Qiu ◽  
...  

1993 ◽  
Vol 7 (3) ◽  
pp. 241-249
Author(s):  
Tomio OHKAWA ◽  
Akio TOMIYAMA

2004 ◽  
Author(s):  
Gianluca Valenti ◽  
Kristian Jessen ◽  
Bradley T. Mallison ◽  
Margot G. Gerritsen

2012 ◽  
Vol 24 (2) ◽  
pp. 287-291 ◽  
Author(s):  
Jian-ping Luo ◽  
Xiang Qiu ◽  
Dong-mei Li ◽  
Yu-lu Liu

2000 ◽  
Vol 530 (1) ◽  
pp. 508-524 ◽  
Author(s):  
P. Londrillo ◽  
L. Del Zanna
Keyword(s):  

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