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A corrective smoothed particle method for boundary value problems in heat conduction
Author(s) -
Chen J. K.,
Beraun J. E.,
Carney T. C.
Publication year - 1999
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/(sici)1097-0207(19990920)46:2<231::aid-nme672>3.0.co;2-k
Subject(s) - smoothed particle hydrodynamics , boundary value problem , heat kernel , thermal conduction , boundary (topology) , domain (mathematical analysis) , taylor series , work (physics) , kernel (algebra) , particle method , mathematics , particle (ecology) , mathematical analysis , physics , mechanics , thermodynamics , geology , oceanography , combinatorics
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.