Open Access

ARTICLE

A Dual-Support Smoothed Particle Hydrodynamics for Weakly Compressible Fluid Inspired By the Dual-Horizon Peridynamics

Huilong Ren¹, Xiaoying Zhuang^2,3,*, Timon Rabczuk¹

1 Institute of Structural Mechanics, Bauhaus-Universität Weimar, 99423, Weimar, Germany.
2 Division of Computational Mechanics, Ton Duc Thang University, Ho Chi Minh City, Viet Nam.
3 Faculty of Civil Engineering, Ton Duc Thang University, Ho Chi Minh City, Viet Nam.

* Corresponding Author: Xiaoying Zhuang. Email: .

(This article belongs to the Special Issue: Recent Developments on Peridynamics)

Computer Modeling in Engineering & Sciences 2019, 121(2), 353-383. https://doi.org/10.32604/cmes.2019.05146

Abstract

A dual-support smoothed particle hydrodynamics (DS-SPH) that allows variable smoothing lengths while satisfying the conservations of linear momentum, angular momentum and energy is developed. The present DS-SPH is inspired by the dual-support, a concept introduced from dual-horizon peridynamics from the authors and applied here to SPH so that the unbalanced interactions between the particles with different smoothing lengths can be correctly considered and computed. Conventionally, the SPH formulation employs either the influence domain or the support domain. The concept of dual-support identifies that the influence domain and the support domain involves the duality and should be simultaneously in the SPH formulation when variable smoothing lengths are used. The DS-SPH formulation can be implemented into conventional SPH codes with minimal changes and also without compromising the computational efficiency. A number of numerical examples involving weakly compressible. fluid are presented to demonstrate the capability of the method

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Citations