Corrected higher order Laplacian for enhancement of pressure calculation by projection-based particle methods with applications in ocean engineering

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• 作者：Hiroyuki Ikari ; Abbas Khayyer ; Hitoshi Gotoh
• 关键词：Corrected higher order Laplacian ; Particle method ; Moving particle semi ; implicit method ; Pressure calculation ; Consistency
• 刊名：Journal of Ocean Engineering and Marine Energy
• 出版年：2015
• 出版时间：November 2015
• 年：2015
• 卷：1
• 期：4
• 页码：361-376
• 全文大小：7190KB
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• 作者单位：Hiroyuki Ikari (1)
  Abbas Khayyer (1)
  Hitoshi Gotoh (1)
  
  1. Department of Civil and Earth Resources Engineering, Kyoto University, Kyoto, Japan
  
• 刊物类别：Offshore Engineering; Renewable and Green Energy; Engineering Fluid Dynamics; Geoengineering, Founda
• 刊物主题：Offshore Engineering; Renewable and Green Energy; Engineering Fluid Dynamics; Geoengineering, Foundations, Hydraulics; Oceanography; Coastal Sciences;
• 出版者：Springer International Publishing
• ISSN：2198-6452

文摘

A corrected higher order Laplacian (CHL) scheme is proposed for enhancement of pressure calculation in projection-based particle methods. The CHL scheme is derived by meticulously taking divergence of a corrected SPH gradient model in a similar manner to derivation of higher order Laplacian (HL) scheme performed by Khayyer and Gotoh (Appl Ocean Res 32(1):124-31, 2010; Appl Ocean Res 37:120-26, 2012). Unlike the original SPH gradient model considered in derivation of HL, the (first-order) consistency of the corrected SPH gradient model is strictly guaranteed. The enhanced performance of CHL with respect to HL is shown by a set of numerical simulations corresponding to designed sinusoidal pressure oscillations, unperturbed/perturbed water jets impinging on a flat plate and a 2D diffusion problem. Hence, the CHL scheme is suggested to be applied in place of the HL one, especially for practical engineering applications including those encountered in ocean engineering. Keywords Corrected higher order Laplacian Particle method Moving particle semi-implicit method Pressure calculation Consistency