Huilong Ren1, Xiaoying Zhuang2,3,*, Timon Rabczuk1
CMES-Computer Modeling in Engineering & Sciences, Vol.121, No.2, pp. 353-383, 2019, DOI: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 More >