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A new volume‐preserving and continuous interface reconstruction method for 2D multi‐material flow
Author(s) -
Dumas L.,
Ghidaglia J. M.,
Jaisson P.,
Motte R.
Publication year - 2017
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.4372
Subject(s) - interface (matter) , minification , computer science , volume (thermodynamics) , flow (mathematics) , algorithm , advection , scheme (mathematics) , iterative reconstruction , computational science , mathematical optimization , mathematics , geometry , computer vision , parallel computing , mathematical analysis , physics , bubble , quantum mechanics , maximum bubble pressure method , thermodynamics
Summary A new two‐dimensional interface reconstruction method that ensures continuity of the interface and preserves volume fractions is presented here. It is made of two steps, first, the minimization of a cost functional based on volume fractions least square errors by using dynamic programming, a fast and efficient scheme well known in image processing, and then a local correction phase. In each cell, the interface is made of two line segments joining two edges. This new interface reconstruction method, called Dynamic Programming Interface Reconstruction has been coupled with various advection schemes, among them the Lagrange + remap scheme. With a reasonable computational cost, it has been observed in various test cases that Dynamic Programming Interface Reconstruction is more accurate and less diffusive compared with other existing classical reconstruction methods. Copyright © 2017 John Wiley & Sons, Ltd.