A flux vector splitting scheme for low Mach number flows in preconditioning method

2014 ◽  
Vol 242 ◽  
pp. 296-308
Author(s):  
Yisheng Rong ◽  
Yuechuan Wei
Keyword(s):  
Mach Number ◽  
Splitting Scheme ◽  
Flux Vector ◽  
Low Mach Number ◽  
Flux Vector Splitting ◽  
Preconditioning Method

Flux-vector splitting for compressible low mach number flow

1993 ◽  
Vol 22 (4-5) ◽  
pp. 441-451 ◽  
Author(s):  
Jörn Sesterhenn ◽  
Bernhard Müller ◽  
Hans Thomann
Keyword(s):  
Mach Number ◽  
Flux Vector ◽  
Low Mach Number ◽  
Flux Vector Splitting ◽  
Number Flow ◽  
Low Mach Number Flow

Hydrodynamic modeling of short-channel devices using an upwind flux vector splitting scheme

2002 ◽  
Vol 191 (47-48) ◽  
pp. 5427-5445 ◽  
Author(s):  
Wai-Kay Yip ◽  
Min Shen ◽  
Ming-C. Cheng ◽  
Robert Fithen ◽  
Goodarz Ahmadi
Keyword(s):  
Hydrodynamic Modeling ◽  
Splitting Scheme ◽  
Flux Vector ◽  
Short Channel ◽  
Flux Vector Splitting

A kinetic flux vector splitting scheme for shallow water flows

2003 ◽  
Vol 26 (6) ◽  
pp. 635-647 ◽  
Author(s):  
S.Q. Zhang ◽  
M.S. Ghidaoui ◽  
W.G. Gray ◽  
N.Z. Li
Keyword(s):  
Shallow Water ◽  
Splitting Scheme ◽  
Flux Vector ◽  
Water Flows ◽  
Shallow Water Flows ◽  
Flux Vector Splitting

DEVELOPMENT AND ASSESSMENT OF SEVERAL HIGH-RESOLUTION SCHEMES FOR COMPRESSIBLE EULER EQUATIONS

2013 ◽  
Vol 11 (01) ◽  
pp. 1350049
Author(s):  
M. P. RAY ◽  
B. P. PURANIK ◽  
U. V. BHANDARKAR
Keyword(s):  
High Resolution ◽  
Temporal Integration ◽  
Splitting Scheme ◽  
Flux Vector ◽  
Riemann Solvers ◽  
Weighted Essentially Nonoscillatory ◽  
Time Stepping ◽  
Flux Vector Splitting ◽  
Piecewise Parabolic ◽  
Essentially Nonoscillatory

High-resolution extensions to six Riemann solvers and three flux vector splitting schemes are developed within the framework of a reconstruction-evolution approach. Third-order spatial accuracy is achieved using two different piecewise parabolic reconstructions and a weighted essentially nonoscillatory scheme. A three-stage TVD Runge–Kutta time stepping is employed for temporal integration. The modular development of solvers provides an ease in selecting a reconstruction scheme and/or a Riemann solver/flux vector splitting scheme. The performances of these high-resolution solvers are compared for several one- and two-dimensional test cases. Based on a comprehensive assessment of the solutions obtained with all solvers, it is found that the use of the weighted essentially nonoscillatory reconstruction with the van Leer flux vector splitting scheme provides solutions for a variety of problems with acceptable accuracy.

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