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发表于 2012-1-11 16:57:59
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来自 湖北宜昌
版主可以去查这一篇文章, a meshless level set method for shape and topology optimization , Yu Wang, Zhen Luo, Advanced Materials Research(一篇会议)
文章中是这样论述的:But so far, most level set methods compromises two distinct numerical procedures that include the propogation of the discrete level set function on a set of structured Eulerian grid and the solution of the physical state equation on a different set of Lagrangian mesh. If we can unify the two different numerical stages within one framework, it will simplify the numerical process.
论文用紧支径向基函数parameterize level set function,还用紧支径向基函数作为无网格伽辽金法的形函数,用无网格法离散求解。
无网格伽辽金的形函数本来是移动最小二乘,因为紧支径向基函数具有kronecker delta性质,方便施加边界条件,所以才用紧支径向基函数代替移动最小二乘。
level set method不懂,我就不翻译了。 |
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