期刊
JOURNAL OF COMPUTATIONAL PHYSICS
卷 226, 期 2, 页码 1432-1443出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jcp.2007.05.032
关键词
integration; level-set methods; quadtree/octree data structures; isosurfacing
We present a geometric approach for calculating integrals over irregular domains described by a level-set function. This procedure can be used to evaluate integrals over a lower dimensional interface and may be used to evaluate the contribution of singular source terms. This approach produces results that are second-order accurate and robust to the perturbation of the interface location on the grid. Moreover, since we use a cell-wise approach, this procedure can be easily extended to quadtree and octree grids. We demonstrate the second-order accuracy and the robustness of the method in two and three spatial dimensions. (c) 2007 Elsevier Inc. All rights reserved.
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