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A new volume of fluid method in three dimensions—Part II: Piecewise‐planar interface reconstruction with cubic‐Bézier fit
Author(s) -
López J.,
Zanzi C.,
Gómez P.,
Faura F.,
Hernández J.
Publication year - 2008
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.1775
Subject(s) - interpolation (computer graphics) , piecewise , interface (matter) , planar , bézier curve , reduction (mathematics) , piecewise linear function , algorithm , mathematics , linear interpolation , volume (thermodynamics) , computer science , geometry , mathematical optimization , mathematical analysis , computer graphics (images) , physics , parallel computing , animation , bubble , quantum mechanics , maximum bubble pressure method , polynomial
A new interface reconstruction method in 3D is presented. The method involves a conservative level‐contour reconstruction coupled to a cubic‐Bézier interpolation. The use of the proposed piecewise linear interface calculation (PLIC) reconstruction scheme coupled to a multidimensional time integration provides solutions of second‐order spatial and temporal accuracy. The accuracy and efficiency of the proposed reconstruction algorithm are demonstrated through several tests, whose results are compared with those obtained with other recently proposed methods. An overall improvement in accuracy with respect to other recent methods has been achieved, along with a substantial reduction in the central processing unit time required. Copyright © 2008 John Wiley & Sons, Ltd.