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Interactive fluid flow simulation in computer graphics using incompressible smoothed particle hydrodynamics
Computer Animation and Virtual Worlds ( IF 1.1 ) Pub Date : 2020-03-01 , DOI: 10.1002/cav.1916
M. Hassaballah 1 , Abdelraheem M. Aly 2, 3 , A. Abdelnaim 3
Affiliation  

Interactive simulations of fluids flow play an important role in several computer graphics‐based applications such as computer games, computer animation, movie industry, and virtual realities. The incompressible smoothed particle hydrodynamics (ISPH) model is a promising numerical scheme for large‐scale and large‐deformation simulations, where the pressure can be determined precisely by solving pressure Poisson equation (PPE). The three main shortcomings of the ISPH scheme are oscillating pressure, particles disorders, and particles penetrations through rigid boundary. In this paper, the stable pressure is obtained from modifications in the source term of PPE, in which the divergence‐free velocity condition plus density‐invariance condition multiply by a relaxation coefficient are included. The particles disorders are solved via utilizing a shifting technique with the current treatment of source term in PPE. Additionally, the dummy boundary particles are used for the rigid boundary treatment. For getting enough pressure on the boundary, the Neumann boundary condition is satisfied during the implicit solving processes. The performance of the stabilized ISPH model is tested on various numerical simulations with largely distorted free surface including liquid sloshing problems, fluid–fluid and fluid–structure interactions, and dam‐break flows. To extend the applicability of the stabilized ISPH model, the post process including visual realism with a highly rendering scheme is coupled. The coupled scheme introduces several simulations including free falling of a rigid body, water splashes, and dam break analysis. Furthermore, the proposed ISPH‐based method enables efficient and viscous fluid simulations with large time steps, higher viscosities, and resolutions, and it is a robust scheme in long interval simulations of nonlinear free‐surface flows.

中文翻译:

使用不可压缩平滑粒子流体动力学在计算机图形中进行交互式流体流动模拟

流体流动的交互式模拟在多种基于计算机图形的应用程序中发挥着重要作用,例如计算机游戏、计算机动画、电影业和虚拟现实。不可压缩平滑粒子流体动力学 (ISPH) 模型是一种很有前途的大规模和大变形模拟数值方案,其中压力可以通过求解压力泊松方程 (PPE) 来精确确定。ISPH 方案的三个主要缺点是振荡压力、粒子紊乱和粒子穿透刚性边界。在本文中,稳定压力是通过修改 PPE 的源项获得的,其中包括无发散速度条件加上密度不变条件乘以松弛系数。通过利用转移技术和 PPE 中源术语的当前处理来解决粒子紊乱。此外,虚拟边界粒子用于刚性边界处理。为了在边界上获得足够的压力,在隐式求解过程中满足 Neumann 边界条件。稳定的 ISPH 模型的性能在各种数值模拟上进行了测试,这些模拟具有大量扭曲的自由表面,包括液体晃动问题、流体-流体和流体-结构相互作用以及溃坝流。为了扩展稳定的 ISPH 模型的适用性,后期处理包括具有高度渲染方案的视觉真实感。耦合方案引入了多种模拟,包括刚体的自由落体、水溅和溃坝分析。此外,
更新日期:2020-03-01
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