Details
| Original language | English |
|---|---|
| Publication status | E-pub ahead of print - 31 Jan 2024 |
Abstract
Keywords
- math.NA, cs.NA
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2024.
Research output: Working paper/Preprint › Preprint
}
TY - UNPB
T1 - Modeling and numerical simulation of fully Eulerian fluid-structure interaction using cut finite elements
AU - Frei, Stefan
AU - Knoke, Tobias
AU - Steinbach, Marc C.
AU - Wenske, Anne-Kathrin
AU - Wick, Thomas
PY - 2024/1/31
Y1 - 2024/1/31
N2 - We present a monolithic finite element formulation for (nonlinear) fluid-structure interaction in Eulerian coordinates. For the discretization we employ an unfitted finite element method based on inf-sup stable finite elements. So-called ghost penalty terms are used to guarantee the robustness of the approach independently of the way the interface cuts the finite element mesh. The resulting system is solved in a monolithic fashion using Newton's method. Our developments are tested on a numerical example with fixed interface.
AB - We present a monolithic finite element formulation for (nonlinear) fluid-structure interaction in Eulerian coordinates. For the discretization we employ an unfitted finite element method based on inf-sup stable finite elements. So-called ghost penalty terms are used to guarantee the robustness of the approach independently of the way the interface cuts the finite element mesh. The resulting system is solved in a monolithic fashion using Newton's method. Our developments are tested on a numerical example with fixed interface.
KW - math.NA
KW - cs.NA
U2 - 10.48550/arXiv.2402.00209
DO - 10.48550/arXiv.2402.00209
M3 - Preprint
BT - Modeling and numerical simulation of fully Eulerian fluid-structure interaction using cut finite elements
ER -