کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
522507 | 867832 | 2006 | 14 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: Analytic relations for reconstructing piecewise linear interfaces in triangular and tetrahedral grids Analytic relations for reconstructing piecewise linear interfaces in triangular and tetrahedral grids](/preview/png/522507.png)
In volume of fluid methods for interfacial flow simulations, one essential process is the so-called interface reconstruction, in which an approximate interface is reconstructed from a given discrete volume fraction field. In [J. Comput. Phys. 164 (2000) 228–237], Scardovelli and Zaleski presented analytical relations connecting linear interfaces and volume fractions in rectangular grids. Here, we present analytical relations connecting linear interfaces and volume fractions in triangular and tetrahedral grids. For computing the volume of fluid in an arbitrary polygonal or polyhedral fluid element, we also cite some of the most efficient formulas for polygon area and polyhedron volume computations. Simple test cases show that this analytic method of interface reconstruction is about 18 times faster than an iterative method in two dimensions, and four to six times faster in three dimensions. The results can be in general applied to other fields as well.
Journal: Journal of Computational Physics - Volume 214, Issue 1, 1 May 2006, Pages 41–54