Unstructured multigridding by volume agglomeration: Current status

Unstructured Volume - Agglomeration MG : Solution of the Poisson Equation

An Agglomeration Multigrid Method for Unstructured Grids

A new agglomeration multigrid method is proposed in this paper for general unstructured grids. By a proper local agglomeration of finite elements, a nested sequence of finite dimensional subspaces are obtained by taking appropriate linear combinations of the basis functions from previous level of space. Our algorithm seems to be able to solve, for example, the Poisson equation discretized on an...

Parallel Agglomeration Strategies for Industrial Unstructured Solvers

An industrial aerospace code has been parallelised for execution on shared memory and distributed memory architectures. The flow solver uses an explicit time integration approach and utilises an agglomeration multigrid strategy to accelerate the convergence. A novel method has been used to efficiently parallelise the multigrid solver that also minimised any intrusion into the flow solver. The p...

High-Quality Unstructured Volume Rendering

For the visualization of volume data the application of transfer functions is used widely. In this area the preintegration technique allows high quality visualizations and the application of arbitrary transfer functions. For regular grids, this approach leads to a two-dimensional pre-integration table which easily fits into texture memory. In contrast to this, unstructured meshes require a thre...

CellFast: Interactive Unstructured Volume Rendering

Shirley and Tuchman’s projected tetrahedra approach is a fast algorithm for unstructured volume visualization, because it generates triangles that may be rendered by hardware acceleration. In this paper, I explore optimizations using OpenGL triangle fans, customized quicksort, memory organization for cache efficiency, display lists, and tetrahedral culling. The optimizations improve the perform...