Extrapolation Boundary Conditions for 2-D Smoothed Particle Hydrodynamics

IF 1.8 4区 工程技术 Q3 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
Hossein Mahdizadeh, Colin D. Rennie, Benedict D. Rogers, Abolghasem Pilechi
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Abstract

This paper presents a new robust treatment for smoothed particle hydrodynamics (SPH) open (inflow/outflow) and solid boundary conditions, avoiding the unphysical fluctuations and numerical noise present in existing techniques. By novel use of concepts from finite volume methods, the fluid properties from sequential dynamic particles with different normal distances to the boundaries are extrapolated to ghost particles. No so-called mirror points are required, making the method computationally efficient and easy to implement. The new methodology is validated through a series of progressively challenging test cases. The effectiveness of the wall and inflow-outflow boundaries is evaluated for 2-D Poiseuille laminar flow. The performance of the wall boundary for complex geometries is demonstrated using a hydrostatic tank with a triangular wedge, followed by a conventional 2-D dam-break problem to capture impact pressures. A range of challenging vertical inflows rarely explored using SPH, with varying efflux velocities, demonstrate highly accurate performance of the boundary treatment, with results compared to STAR-CCM+. Finally, the robust performance is demonstrated for flow past circular and square cylinders over a range of Reynolds numbers, showing excellent results compared to reference results.

Abstract Image

二维光滑粒子流体力学的外推边界条件
本文提出了一种新的光滑颗粒流体力学(SPH)开放(流入/流出)和固体边界条件的鲁棒处理方法,避免了现有技术中存在的非物理波动和数值噪声。利用有限体积法的概念,将具有不同法向距离的连续动态粒子的流体性质外推到虚粒子。不需要所谓的镜像点,使得该方法计算效率高,易于实现。新方法通过一系列逐步具有挑战性的测试用例得到验证。对二维泊泽维尔层流的壁面和进出流边界的有效性进行了评价。采用带三角形楔形的静液罐演示了复杂几何形状的壁边界性能,然后采用传统的二维溃坝问题来捕获冲击压力。与STAR-CCM+相比,SPH在一系列具有挑战性的垂直流入中,具有不同的射流速度,显示出高度精确的边界处理性能。最后,在一定雷诺数范围内,通过圆形和方形圆柱体的流动证明了稳健的性能,与参考结果相比显示了出色的结果。
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来源期刊
International Journal for Numerical Methods in Fluids
International Journal for Numerical Methods in Fluids 物理-计算机:跨学科应用
CiteScore
3.70
自引率
5.60%
发文量
111
审稿时长
8 months
期刊介绍: The International Journal for Numerical Methods in Fluids publishes refereed papers describing significant developments in computational methods that are applicable to scientific and engineering problems in fluid mechanics, fluid dynamics, micro and bio fluidics, and fluid-structure interaction. Numerical methods for solving ancillary equations, such as transport and advection and diffusion, are also relevant. The Editors encourage contributions in the areas of multi-physics, multi-disciplinary and multi-scale problems involving fluid subsystems, verification and validation, uncertainty quantification, and model reduction. Numerical examples that illustrate the described methods or their accuracy are in general expected. Discussions of papers already in print are also considered. However, papers dealing strictly with applications of existing methods or dealing with areas of research that are not deemed to be cutting edge by the Editors will not be considered for review. The journal publishes full-length papers, which should normally be less than 25 journal pages in length. Two-part papers are discouraged unless considered necessary by the Editors.
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