A Robust and Accurate LED-BGK Solver on Unstructured Adaptive Meshes

An accurate LED-BGK solver on unstructured adaptive meshes

Starting from the collisional BGK model of the full Boltzmann equation, we develop an accurate and robust finite volume gas kinetic scheme on unstructured triangular mesh. The numerical approach is composed of two steps an initial reconstruction step and a gas evolution step. In the initial reconstruction step, the unstructured version of the LED (Local Extremum Diminishing) interpolation is ap...

A Robust and Accurate LED-BGK Solver on Unstructured Adaptive Meshes

Starting from the BGK model of the Boltzmann equation, we develop a robust and accurate finite volume gas kinetic scheme on unstructured triangular meshes. The proposed numerical approach is composed of two steps—an initial reconstruction step and a gas evolution step. In the initial reconstruction step, an unstructured version of the local extremum diminishing interpolation is applied to the c...

Repartitioning Unstructured Adaptive Meshes

We present a new parallel repartitioning algorithm for adaptive finite-element meshes that significantly reduces the amount of data that needs to move between processors in order to rebalance a workload after mesh adaptation (refinement or coarsening). These results derive their importance from the fact that the time to migrate data can be a large fraction of the total time for the parallel ada...

Robust Parallel Adaptive Mesh Refinement Software Library for Unstructured Meshes

Multigrid Acceleration of an Upwind Euler Solver on Unstructured Meshes

Multigrid acceleration has been implemented for an upwind ow solver on unstructured meshes. The ow solver is a straightforward implementation of Barth and Jespersen's unstructured scheme, with least-squares linear reconstruction and a directional implementation of Venkatakr-ishnan's limiter. The multigrid scheme itself is designed to work on mesh systems which are not nested, allowing great exi...