arXiv Analytics

Sign in

arXiv:1709.07700 [math.NA]AbstractReferencesReviewsResources

Experimenting with the p4est library for AMR simulations of two-phase flows

Florence Drui, Alexandru Fikl, Pierre Kestener, Samuel Kokh, Adam Larat, Vincent Le Chenadec, Marc Massot

Published 2017-09-22Version 1

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.

Journal: ESAIM: Proceedings and Surveys, EDP Sciences, 2016, 53, pp.232 - 247
Related articles: Most relevant | Search more
arXiv:2403.05673 [math.NA] (Published 2024-03-08)
Analysis of Hybrid MC/Deterministic Methods for Transport Problems Based on Low-Order Equations Discretized by Finite Volume Schemes
arXiv:1805.05072 [math.NA] (Published 2018-05-14)
A finite volume scheme for the Euler system inspired by the two velocities approach
arXiv:0803.3502 [math.NA] (Published 2008-03-25)
Convergence of a finite volume scheme for nonlocal reaction-diffusion systems modelling an epidemic disease