Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
A continuum method for modeling surface tension
Journal of Computational Physics
A level set approach for computing solutions to incompressible two-phase flow
Journal of Computational Physics
A parallel algorithm for multilevel graph partitioning and sparse matrix ordering
Journal of Parallel and Distributed Computing
A front-tracking method for the computations of multiphase flow
Journal of Computational Physics
Parallel Multilevel Tetrahedral Grid Refinement
SIAM Journal on Scientific Computing
A finite element based level set method for two-phase incompressible flows
Computing and Visualization in Science
Parallelization of a level set method for simulating dendritic growth
Journal of Parallel and Distributed Computing
SIAM Journal on Numerical Analysis
A parallel Eulerian interface tracking/Lagrangian point particle multi-scale coupling procedure
Journal of Computational Physics
A parallelized, adaptive algorithm for multiphase flows in general geometries
Computers and Structures
Parallel re-initialization of level set functions on distributed unstructured tetrahedral grids
Journal of Computational Physics
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The simulation of two-phase flow problems involving two time-dependent spatial regions with different physical properties is computationally hard. The numerical solution of such problems is complicated by the need to represent the movement of the interface. The level set approach is a front-capturing method representing the position of the interface implicitly by the root of a suitably defined function. We describe a parallel adaptive finite element simulation based on the level set approach. For freely sedimenting n-butanol droplets in water, we quantify the parallel performance on a Xeon-based cluster using up to 256 processes.