AUFSR+: Low Mach number enhancement of the AUFSR scheme. (10th September 2016)

• Record Type: Journal Article
• Authors: Mor-Yossef, Y.
• Is Part Of: Computers & fluids. Volume 136(2016)
• Page Start: 301
• Page End: 311
• Publication Date: 2016-09-10
• Subjects: Low mach number -- Upwind scheme -- Preconditioning -- Low diffusion; Fluid dynamics -- Data processing -- Periodicals; 532.050285
• DOI: 10.1016/j.compfluid.2016.06.015
• Languages: English
• ISSNs: 0045-7930

Abstract

Highlights: Design all-speed AUFSR scheme, called the AUFSR+. The AUFSR+ scheme is free from a global cut-off Mach number. The AUFSR+ scheme characterize by exceptional low artificial dissipation. Abstract: A low-Mach number extension of the low-diffusion AUFSR scheme, called AUFSR+, is proposed. The extension is facilitated by a simple scaling of the normal velocity jump across the cell interface, applied on the AUFSR artificial dissipation part. The scaling is based on a simple function of the Mach number that is free from any global cut-off reference velocity. Moreover, a shock sensor is introduced into the Mach number function to avoid possible numerical instabilities near shocks, such that the AUFSR+ scheme returns to the original AUFSR scheme. The modified scheme has been implemented within a flow solver and is used in this paper to compute a variety of inviscid and viscous flow problems in two- and three-dimensions. Numerical results that are obtained indicate that the new scheme is attractive across a wide range of Mach numbers, in terms of accuracy and robustness.