A second-order method for interface reconstruction in orthogonal coordinate systems

Colella, P. ; Graves, D.T. ; Greenough, J.A.

Lawrence Berkeley National Laboratory

关键词: Lawrence Berkeley Laboratory;    Distribution;    Algorithms;    99 General And Miscellaneous//Mathematics, Computing, And Information Science;   

DOI  :  10.2172/834475
RP-ID  :  LBNL--45244
RP-ID  :  AC03-76SF00098
RP-ID  :  834475

美国|英语

来源: UNT Digital Library

【 摘 要 】

The authors present a second-order algorithm for reconstructing an interface from a distribution of volume fractions in a general orthogonal coordinate system with derivatives approximated using finite differences. The method approximates the interface curve by a piecewise-linear profile. An integral formulation is used that accounts for the orthogonal coordinate system in a natural way. The authors present results obtained using this method for tracking a material interface between two compressible media in spherical coordinates.