Variational and momentum preservation aspects of Smooth Particle Hydrodynamic formulations

被引：635

作者：

Bonet, J ^{[1
]}

Lok, TSL ^{[1
]}

机构：

[1] Univ Wales, Inst Numer Methods Engn, Dept Civil Engn, Swansea SA2 8PP, W Glam, Wales

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 1999年 / 180卷 / 1-2期

基金：

英国工程与自然科学研究理事会;

关键词：

D O I：

10.1016/S0045-7825(99)00051-1

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper presents a new variational framework for various existing: Smooth Particle Hydrodynamic (SPH) techniques and presents a new corrected SPH formulation. The linear and angular momentum preserving properties of SPH formulations are also discussed. The paper will show that in general in order to preserve angular momentum, the SPH equations must correctly evaluate the gradient of a linear velocity field. A corrected algorithm that combines kernel correction with gradient correction is presented. The paper win illustrate the theory presented with several examples relating to simple free surface flows. (C) 1999 Elsevier Science S.A. All rights reserved.

引用

页码：97 / 115

页数：19

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