A MUSCL smoothed particles hydrodynamics for compressible multi‐material flows. (21st December 2015)

• Record Type: Journal Article
• Authors: Hu, Xiaoyan; Jiang, Song; Wang, Ruili
• Is Part Of: Mathematical methods in the applied sciences. Volume 39:Number 5(2016:Mar. 30)
• Page Start: 1093
• Page End: 1100
• Publication Date: 2015-12-21
• Subjects: meshless methods -- SPH method -- MUSCL scheme -- Riemann solver -- subclass74s30; Mathematics -- Periodicals; Technology -- Mathematics -- Periodicals; 519
• DOI: 10.1002/mma.3551
• Languages: English
• ISSNs: 0170-4214

Abstract

Abstract : By incorporating the Monotone Upwind Scheme of Conservation Law (MUSCL) scheme into the smoothed particles hydrodynamics (SPH) method and making use of an interparticle contact algorithm, we present a MUSCL–SPH scheme of second order for multifluid computations, which extends the Riemann‐solved‐based SPH method. The numerical tests demonstrate high accuracy and resolution of the scheme for both shocks, contact discontinuities, and rarefaction waves in the one‐dimensional shock tube problem. For the two‐dimensional cylindrical Noh and shock‐bubble interaction problems, the MUSCL–SPH scheme can resolve shocks well. Copyright © 2015 John Wiley & Sons, Ltd.