Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations
Journal of Computational Physics
Computer Methods in Applied Mechanics and Engineering - Special edition on the 20th Anniversary
A front-tracking method for viscous, incompressible, multi-fluid flows
Journal of Computational Physics
A continuum method for modeling surface tension
Journal of Computational Physics
High-resolution FEM-TVD schemes based on a fully multidimensional flux limiter
Journal of Computational Physics
On the design of general-purpose flux limiters for finite element schemes. I. Scalar convection
Journal of Computational Physics
Hi-index | 31.45 |
A new realization of a finite element level set method for simulation of immiscible fluid flows is introduced and validated on numerical benchmarks. The new method involves a mixed discretization of the dependent variables, discretizing the flow variables with non-conforming Rannacher-Turek finite elements while using a simple first order conforming discretization of the level set field. A three step segregated solution approach is employed, first a discrete projection method is used to decouple and compute the velocity and pressure separately, after which the level set field can be computed independently. The developed method is tested and validated on a static bubble test case and on a numerical rising bubble test case for which a very accurate benchmark solution has been established. The new approach is also compared against two commercial simulation codes, Ansys Fluent and Comsol Multiphysics, which shows that the developed method is a magnitude or more accurate and at the same time significantly faster than state of the art commercial codes.