Load balanced 2D and 3D adaptive mesh refinement in OpenFOAM

Parallel 3D Adaptive Mesh Refinement in Titanium

Implicit adaptive mesh refinement for 2D reduced resistive magnetohydrodynamics

An implicit structured-adaptive-mesh-refinement (SAMR) solver for 2D reduced magnetohydrodynamics (MHD) is described. The time-implicit discretization is able to step over fast normal modes, while the spatial adaptivity resolves thin, dynamically evolving features. A Jacobian-free Newton-Krylov method is used for the nonlinear solver engine. For preconditioning, we have extended the optimal “ph...

3D adaptive mesh refinement simulations of pellet injection in tokamaks

Injecting small pellets of frozen hydrogen is a proven method of fueling tokamaks but a quantitative theory of mass redistribution during inside/outside injection is still lacking. We present results of Adaptive Mesh Refinement (AMR) simulations that quantify the MHD processes responsible for mass redistribution. AMR is essential to provide the resolution required to simulate realistic pellet s...

Dynamic Load Balancing for Parallel Adaptive Mesh Refinement

A key step in the nite element method is to generate a high quality mesh that is as small as possible for an input domain. Several meshing methods and heuristics have been developed and implemented. Methods based on advancing front, Delaunay triangulations, and quadtrees/octrees are among the most popular ones. Advancing front uses simple data structures and is eecient. Unfortunately, in genera...

Generalized 2d Delaunay Mesh Refinement

Delaunay refinement is a popular mesh generation method which makes it possible to derive mathematical guarantees with respect to the quality of the elements. Traditional Delaunay refinement algorithms insert Steiner points in a small enumerable number (one or two) of specific positions inside circumscribed circles of poor quality triangles and on encroached segments. In this paper we prove tha...