Non-smooth kernels for meshfree methods in fluid dynamics

被引：4
|
作者：
Belley, J. -M. [2 ]
Belley, P. [2 ]
Colin, F. [1 ]
Egli, R. [2 ]
机构：
[1] Laurentian Univ, Dept Math & Comp Sci, Sudbury, ON P3E 2C6, Canada
[2] Univ Sherbrooke, Fac Sci, Sherbrooke, PQ J1K 2R1, Canada
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2009年 / 58卷 / 06期
基金：
加拿大自然科学与工程研究理事会;
关键词：
Meshfree methods; SPH method; Non-smooth kernels; Error bounds; SMOOTHED PARTICLE HYDRODYNAMICS; FLOWS;
D O I：
10.1016/j.camwa.2009.06.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A function and its first two derivatives are estimated by convolutions with well-chosen non-differentiable kernels. The convolutions are in turn approximated by Newton-Cotes integration techniques with the aid of a polynomial interpolation based on an arbitrary finite set of points. Precise numerical results are obtained with far fewer points than that in classic SPH, and error bounds are derived. (C) 2009 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1253 / 1272
页数：20
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