A robust and contact preserving flux splitting scheme for compressible flows

2021 ◽  
Vol 93 ◽  
pp. 105502 ◽  
Author(s):  
Lijun Hu ◽  
Sebert Feng
Keyword(s):  
Compressible Flows ◽  
Splitting Scheme ◽  
Flux Splitting

scholarly journals A New Flux Splitting Scheme Based on Toro-Vazquez and HLL Schemes for the Euler Equations

2014 ◽  
Vol 2014 ◽  
pp. 1-13 ◽  
Author(s):  
Pascalin Tiam Kapen ◽  
Tchuen Ghislain
Keyword(s):  
Euler Equations ◽  
Compressible Flows ◽  
Arithmetic Mean ◽  
Shock Propagation ◽  
Test Cases ◽  
Splitting Scheme ◽  
Pressure System ◽  
Wave Speeds ◽  
Flux Splitting ◽  
Contact Discontinuities

This paper presents a new flux splitting scheme for the Euler equations. The proposed scheme termed TV-HLL is obtained by following the Toro-Vazquez splitting (Toro and Vázquez-Cendón, 2012) and using the HLL algorithm with modified wave speeds for the pressure system. Here, the intercell velocity for the advection system is taken as the arithmetic mean. The resulting scheme is more accurate when compared to the Toro-Vazquez schemes and also enjoys the property of recognition of contact discontinuities and shear waves. Accuracy, efficiency, and other essential features of the proposed scheme are evaluated by analyzing shock propagation behaviours for both the steady and unsteady compressible flows. The accuracy of the scheme is shown in 1D test cases designed by Toro.

A low diffusion flux splitting method for inviscid compressible flows

2015 ◽  
Vol 112 ◽  
pp. 83-93 ◽  
Author(s):  
Wenjia Xie ◽  
Hua Li ◽  
Zhengyu Tian ◽  
Sha Pan
Keyword(s):  
Compressible Flows ◽  
Diffusion Flux ◽  
Splitting Method ◽  
Flux Splitting ◽  
Inviscid Compressible Flows

A novel flux splitting scheme with robustness and low dissipation for hypersonic heating prediction

2018 ◽  
Vol 127 ◽  
pp. 126-137 ◽  
Author(s):  
Shu-sheng Chen ◽  
Chao Yan ◽  
Kang Zhong ◽  
Hai-chao Xue ◽  
Er-long Li
Keyword(s):  
Splitting Scheme ◽  
Flux Splitting ◽  
Low Dissipation
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