98 citations · 200 across the 5 of their papers we have counts for
5 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…
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…
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…