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physics.comp-ph2017★ 3 cited
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…
physics.comp-ph2011★ 98 cited
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…