98 citations · 282 across the 7 of their papers we have counts for
7 papers
An Improved Roe Scheme for All Mach-Number Flows Simultaneously Curing Known Problems
Xue-song Li, Xiao-dong Ren, Chun-wei Gu
Roe scheme is known for its good performance in moderate-Mach-number flows. However, this scheme and its extended versions suffers from many disastrous problems, such as non-physic…
Cures for the Expansion Shock and the Shock Instability of the Roe Scheme
Xue-song Li, Xiao-dong Ren, Chun-wei Gu
A common defect of the Roe scheme is the production of non-physical expansion shock and shock instability. An improved method with several advantages was presented to suppress the…
On the All-Speed Roe-type Scheme for Large Eddy Simulation of Homogeneous Decaying Turbulence
Xue-song Li
As the representative of the shock-capturing scheme, the Roe scheme fails to LES because important turbulent characteristics cannot be reproduced such as the famous k-5/3 spectral…
The Role of Momentum Interpolation Mechanism of the Roe Scheme in the Shock Instability
Xiao-dong Ren, Chun-wei Gu, Xue-song Li
The shock instability phenomenon is a famous problem for the shock-capturing scheme. By subdividing the numerical dissipation of the Roe scheme, the term of pressure-difference-dri…
A Uniform Algorithm for All-Speed Shock-Capturing Schemes
Xue-song Li
There are many ideas for developing shock-capturing schemes and their extension for all-speed flow. The representatives of them are Roe, HLL and AUSM families. In this paper, a uni…
Mechanism and Improvement of the Harten-Lax-van Leer Scheme for All-Speed Flows
Xue-song Li, Chun-wei Gu
Based on the three rules developed from the Roe-type scheme, the mechanisms of the classical and preconditioned Harten-Lax-van Leer (HLL) schemes are analyzed. For the classical HL…
On the Mechanism of Roe-type Schemes for All-Speed Flows
Xue-song Li, Chun-wei Gu
In recent years, Roe-type schemes based on different ideas have been developed for all-speed flows, such as the preconditioned Roe, the All-Speed Roe, Thornber's modified Roe and t…