AIAA 2000-0808 A Parallel Multilevel Method for Adaptively Refined Cartesian Grids with Embedded Boundaries

A Domain-Decomposed Multilevel Method for Adaptively Refined Cartesian Grids with Embedded Boundaries

Preliminary verification and validation of an efficient Euler solver for adaptively refined Carte-sian meshes with embedded boundaries is presented. The parallel, multilevel method makes use of a new on-the-fly parallel domain decomposition strategy based upon the use of space-filling curves, and automatically generates a sequence of coarse meshes for processing by the multigrid smoother. The c...

AIAA 2002-0863 Multilevel Error Estimation and Adaptive h -Refinement for Cartesian Meshes with Embedded Boundaries

Parallel large-eddy simulations of turbulent flows with complex moving boundaries on fixed Cartesian grids

A parallel embedded boundary approach for large-eddy simulations of turbulent flows with complex geometries and dynamically moving boundaries on fixed orthogonal grids is presented. The underlying solver is based on a second-order fractional step method on a staggered grid. The boundary conditions on an arbitrary immersed interface are satisfied via second-order local reconstructions. The paral...

Load Balancing for Adaptively Refined Grids

The solution of partial differential equations on a parallel computer is usually done by a data parallel approach. The grid is partitioned and mapped onto the processors. However, partitioning of unstructured meshes and adaptively refined meshes in general is an NP -hard problem and heuristics are needed. In this paper a parallelisable and cheap method based on space-filling curves is analysed....

A refinement-tree based partitioning method for dynamic load balancing with adaptively refined grids

The partitioning of an adaptive grid for distribution over parallel processors is considered in the context of adaptive multilevel methods for solving partial differential equations. A partitioning method based on the refinement-tree is presented. This method applies to most types of grids in two and three dimensions. For triangular and tetrahedral grids, it is guaranteed to produce connected p...