Journal
APPLIED OCEAN RESEARCH
Volume 32, Issue 1, Pages 124-131Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.apor.2010.01.001
Keywords
MPS method; CMPS-HS method; Pressure stabilization; Higher order Laplacian; Higher order viscosity
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A higher order Laplacian model is proposed for enhancement and stabilization of pressure calculation by the MPS (Koshizuka S. Oka Y. Moving particle semi-implicit method for fragmentation of incompressible fluid. Nucl Sci Eng 1996;123:421-34) method. The higher order Laplacian is derived by taking the divergence of a particle-based gradient model (Monaghan, 1992) [18]. The proposed Higher order Laplacian is then applied for discretization of Laplacian of pressure and both Laplacian of pressure and that corresponding to the viscous forces in a previously improved MPS method, namely, the CMPS-HS (Khayyer and Gotoh. 2009) [8] method, resulting in CMPS-HS-HL-SV and CMPS-HS-HL-HV methods. A few numerical tests, namely, designed simple [8] and exponentially excited sinusoidal pressure oscillations and a violent sloshing flow (Kishev et al. 2006) [17] are carried out to demonstrate the enhancing and stabilizing effect of the proposed higher order Laplacian model. (C) 2010 Elsevier Ltd. All rights reserved.
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