Patch-Recovery Filters for Curvature in Discontinuous Galerkin-Based Level-Set Methods. (1st February 2016)

• Record Type: Journal Article
• Authors: Kummer, Florian; Warburton, Tim
• Is Part Of: Communications in computational physics. Volume 19:Number 2(2016:Feb.)
• Page Start: 329
• Page End: 353
• Publication Date: 2016-02-01
• Subjects: 76T99, -- 65Z05, -- 65D10; Discontinuous Galerkin (DG), -- multiphase flows, -- curvature, -- patch recovery, -- filtering; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.191114.140715a
• Languages: English
• ISSNs: 1815-2406

Abstract

Abstract: In two-phase flow simulations, a difficult issue is usually the treatment of surface tension effects. These cause a pressure jump that is proportional to the curvature of the interface separating the two fluids. Since the evaluation of the curvature incorporates second derivatives, it is prone to numerical instabilities. Within this work, the interface is described by a level-set method based on a discontinuous Galerkin discretization. In order to stabilize the evaluation of the curvature, a patch-recovery operation is employed. There are numerous ways in which this filtering operation can be applied in the whole process of curvature computation. Therefore, an extensive numerical study is performed to identify optimal settings for the patch-recovery operations with respect to computational cost and accuracy.