Title: Experimenting with the p4est library for AMR simulations of two-phase flows,
Abstract: Many physical problems involve spatial and temporal inhomogeneities that
require a very fine discretization in order to be accurately simulated. Using
an adaptive mesh, a high level of resolution is used in the appropriate areas
while keeping a coarse mesh elsewhere. This idea allows to save time and
computations, but represents a challenge for distributed-memory environments.
The MARS project (for Multiphase Adaptative Refinement Solver) intends to
assess the parallel library p4est for adaptive mesh, in a case of a finite
volume scheme applied to two-phase flows. Besides testing the library's
performances, particularly for load balancing, its user-friendliness in use and
implementation are also exhibited here. First promising 3D simulations are even
presented.