Space-time finite element methods for elastodynamics: formulations and error estimates
Computer Methods in Applied Mechanics and Engineering
Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
A front-tracking method for viscous, incompressible, multi-fluid flows
Journal of Computational Physics
Computer Methods in Applied Mechanics and Engineering
Computer Methods in Applied Mechanics and Engineering
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
SIAM Journal on Scientific Computing
Level set methods: an overview and some recent results
Journal of Computational Physics
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
Fluid-structure coupling using lattice-Boltzmann and fixed-grid FEM
Finite Elements in Analysis and Design
Computers & Mathematics with Applications
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This contribution presents a numerical method for the analysis of fluid-structure interaction problems with free surface flows. In order to achieve high convergence of the coupled solution a consistent space-time finite element discretization for both continua and a strong coupling algorithm is applied to the highly non-linear problem. The formulation also enables the simulation of two-fluid flows. The level set method is applied for capturing complex free surfaces. In order to take discontinuities into account modified ansatz functions are used for finite elements cut by the interface. Two-dimensional examples show the applicability of the developed model.