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Enhancement of δ-SPH for ocean engineering applications through incorporation of a background mesh scheme
Applied Ocean Research ( IF 4.3 ) Pub Date : 2021-03-22 , DOI: 10.1016/j.apor.2020.102508
Yi You , Abbas Khayyer , Xing Zheng , Hitoshi Gotoh , Qingwei Ma

The improved Smoothed Particle Hydrodynamics (SPH) method with numerical diffusive terms, which is referred to as δ-SPH, has been widely applied into the studies of engineering problems, especially in the fields of ocean and coastal engineering. Nonetheless, there are still some drawbacks associated with δ-SPH model as in case of other particle methods. These drawbacks correspond to presence of unphysical pressure noise as well as imprecise satisfaction of dynamic free-surface boundary condition in numerical simulations. Through derivation and implementation of a so-called Background Mesh (BM) scheme and enforcing the spatial continuity of calculated source term of pressure equation (Equation of State; EOS), we present enhancements for δ-SPH in providing a more accurate pressure field as well as a more precise reproduction of free-surface. The enhancing effects of the newly proposed δ-SPH+BM are portrayed through several ocean engineering-related test cases including dam break and violent sloshing flows in both two and three dimensions. The incorporation of BM scheme is shown to result in enhanced calculation of pressure field as well as improved satisfaction of dynamic free-surface boundary condition as a consequence of enhanced density and pressure fields.



中文翻译:

通过结合背景网格方案增强海洋工程应用中的δ-SPH

改进的带有数值扩散项的平滑粒子流体动力学(SPH)方法被称为δ-SPH,已广泛应用于工程问题的研究,尤其是在海洋和沿海工程领域。但是,与其他粒子方法一样,δ-SPH模型仍存在一些缺点。这些缺陷对应于非物理压力噪声的存在以及数值模拟中对动态自由表面边界条件的不精确满足。通过推导和实施所谓的背景网格(BM)方案并加强压力方程(状态方程; EOS)的计算源项的空间连续性,我们提出了δ-SPH的增强功能,以提供更精确的压力场,即以及更精确地复制自由表面。新提出的δ-SPH+ BM的增强作用是通过几个与海洋工程相关的测试案例来描述的,包括二维和三维的溃坝和剧烈晃荡。由于增加了密度和压力场,因此表明采用BM方案可以增强压力场的计算能力,并提高对动态自由表面边界条件的满意度。

更新日期:2021-03-22
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