A corrective smoothed particle method for boundary value problems in heat conduction

被引：59

作者：

Chen, JK ^{[1
]}

Beraun, JE ^{[1
]}

Carney, TC ^{[1
]}

机构：

[1] USAF, Res Lab, Directed Energy Effects Res Branch, DEPE, Kirtland AFB, NM 87117 USA

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 1999年 / 46卷 / 02期

关键词：

corrective smoothed particle method; SPH; Taylor series expansion; corrective kernel estimate; boundary value problem; unsteady heat conduction;

D O I：

10.1002/(SICI)1097-0207(19990920)46:2<231::AID-NME672>3.0.CO;2-K

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Combining the kernel estimate with the Taylor series expansion is proposed to develop a Corrective Smoothed Particle Method (CSPM). This algorithm resolves the general problem of particle deficiency at boundaries, which is a shortcoming in Standard Smoothed Particle Hydrodynamics (SSPH). In addition, the method's ability to model derivatives of any order could make it applicable for any time-dependent boundary value problems. An example of the applications studied in this paper is unsteady heat conduction, which is governed by second-order derivatives. Numerical results demonstrate that besides the capability of directly imposing boundary conditions, the present method enhances the solution accuracy not only near or on the boundary but also inside the domain. Published in 1999 by John Wiley & Sons, Ltd. This article is a U.S. government work and is in the public domain in the United States.

引用

页码：231 / 252

页数：22

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