IMPLEMENTATION OF THE CONVECTED LEVEL-SET METHOD WITH ADAPTIVE MESH REFINEMENT USING LIBMESH

Resumo

In the computation of flow problems, the modeling of moving boundaries and interfaces
is still challenging. There are different techniques to model such problems: interface-tracking and
interface-capturing methods. Here we study an interface-capturing method called convected level-set.
The difference to the standard level-set method is that the reinitialization step is embedded in the transport
equation model, avoiding a separate step during the calculation. We also use a hyperbolic tangent
distance function to get a smooth truncation far from the interface. We couple this interface-capturing
method with the Navier-Stokes equations to simulate free-surface problems. We implement all equations
on libMesh, an open finite element library that provides a framework for multiphysics, considering
adaptive mesh refinement. Numerical results are presented for classical interface-capturing benchmarks
to study the influence of mesh refinement, time-step, and time discretization. Finally, we present the
results of a free-surface problem, simulating a dam-break benchmark.