A numerical approach for fluid deformable surfaces with conserved enclosed volume
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
We consider surface finite elements and a semi-implicit time stepping scheme to simulate fluid deformable surfaces. Such surfaces are modeled by incompressible surface Navier-Stokes equations with bending forces. Here, we consider closed surfaces and enforce conservation of the enclosed volume. The numerical approach builds on higher order surface parameterizations, a Taylor-Hood element for the surface Navier-Stokes part, appropriate approximations of the geometric quantities of the surface, mesh redistribution and a Lagrange multiplier for the constraint. The considered computational examples highlight the solid-fluid duality of fluid deformable surfaces and demonstrate convergence properties that are known to be optimal for different sub-problems.
Details
Original language | English |
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Article number | 112097 |
Journal | Journal of computational physics |
Volume | 486 |
Publication status | Published - 1 Aug 2023 |
Peer-reviewed | Yes |
External IDs
Scopus | 85153488053 |
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WOS | 000987895700001 |
Keywords
Research priority areas of TU Dresden
DFG Classification of Subject Areas according to Review Boards
ASJC Scopus subject areas
Keywords
- Fluid deformable surface, Isoparametric setting, Surface finite element method, Surface Navier-Stokes equation, Taylor-Hood element, Taylor -Hood element