期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 211, 期 1, 页码 77-90出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2005.05.005
关键词
level set methods; delta function approximations
It is shown that a discrete delta function can be constructed using a technique developed by Anita Mayo [The fast solution of Poisson's and the biharmonic equations on irregular regions, SIAM J. Sci. Comput. 21 (1984) 285-299] for the numerical solution of elliptic equations with discontinuous source terms. This delta function is concentrated on the zero level set of a continuous function. In two space dimensions, this corresponds to a line and a surface in three space dimensions. Delta functions that are first and second order accurate are formulated in both two and three dimensions in terms of a level set function. The numerical implementation of these delta functions achieves the expected order of accuracy. (c) 2005 Elsevier Inc. All rights reserved.
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