A level-set based space-time finite element approach to the modelling of solidification and melting processes
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Publication:2135810
DOI10.1016/j.jcp.2022.111047OpenAlexW3163444960MaRDI QIDQ2135810
Leonardo Boledi, Stefanie Elgeti, Benjamin Terschanski, Julia Kowalski
Publication date: 9 May 2022
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.09286
Basic methods in fluid mechanics (76Mxx) Incompressible viscous fluids (76Dxx) Thermodynamics and heat transfer (80Axx)
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- Deforming fluid domains within the finite element method: five mesh-based tracking methods in comparison
- A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem
- A numerical scheme for the Stefan problem on adaptive Cartesian grids with supralinear convergence rate
- A level set based sharp interface method for the multiphase incompressible Navier --- Stokes equations with phase change
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- A new strategy for finite element computations involving moving boundaries and interfaces --- The deforming-spatial-domain/space-time procedure. II: Computation of free-surface flows, two-liquid flows, and flows with drifting cylinders
- A non-oscillatory Eulerian approach to interfaces in multimaterial flows (the ghost fluid method)
- A simple level set method for solving Stefan problems
- A partial differential equation approach to multidimensional extrapolation.
- A level set approach for the numerical simulation of dendritic growth
- A volume of fluid based method for fluid flows with phase change
- A second-order-accurate symmetric discretization of the Poisson equation on irregular domains
- A sharp computational method for the simulation of the solidification of binary alloys
- A finite element based level set method for two-phase incompressible flows
- Partial Differential Equations in Action
- Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
- Computations of boiling flows
- Computing geodesic paths on manifolds
- L<scp>EVEL</scp> S<scp>ET</scp> M<scp>ETHODS FOR</scp> F<scp>LUID</scp> I<scp>NTERFACES</scp>
- The extended finite element method (XFEM) for solidification problems
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