In this paper, we discuss some novel techniques for modeling sedimentation and compaction using fully unstructured meshes. The numerical modeling of the sedimentation process is a critical part of basin simulation and synthetic stratigraphy modeling. Normally, structured curvilinear meshes are used to represent sedimentary sequences to be deposited during the simulation. Using this approach, 2D...

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...

A bounded aspect-ratio coarsening sequence of an unstructured mesh M 0 is a sequence of meshes M 1 ; : : : ; M k such that: M i is a bounded aspect-ratio mesh, and M i is an approximation of M i?1 that has fewer elements, where a mesh is called a bounded aspect-ratio mesh if all its elements are of bounded aspect-ratio. The sequence is node-nested if the set of the nodes of M i is a subset of t...

A method is outlined for optimising graph partitions which arise in mapping unstructured mesh calculations to parallel computers. The method employs a combination of iterative techniques to both evenly balance theworkload andminimise the number and volume of interprocessor communications. They are designed to work efficiently in parallel as well as sequentially and when combined with a fast dir...

In this paper we describe a parallel h-refinement algorithm for unstructured finite element meshes based on the longest-edge bisection of triangles and tetrahedrons. This algorithm is implemented in PARED, a system that supports the parallel adaptive solution of PDEs. We discuss the design of such an algorithm for distributed memory machines including the problem of propagating refinement acros...

An overview of current multigrid techniques for unstructured meshes is given. The basic principles of the multigrid approach are first outlined. Application of these principles to unstructured mesh problems is then described, illustrating various different approaches, and giving examples of practical applications. Advanced multigrid topics, such as the use of algebraic multigrid methods, and th...

Application of large eddy simulation (LES) to flows with increasingly complex geometry necessitates the extension of LES to unstructured meshes. A desirable feature for LES on unstructured meshes is that the filtering operation used to remove small scale motions from the flow commutes with the differentiation operator. If this commutation requirement is satisfied, the LES equations have the sam...

4 Unstructured meshes are common in coastal modeling, but still rarely used 5 for modeling the large-scale ocean circulation. Existing and new projects 6 aim at changing this situation by proposing models enabling a regional 7 focus (multiresolution) in global setups, without nesting and open bound8 aries. Among them, finite-volume models using the C-grid discretization on 9 Voronoi-centroidal ...

Despite ubiquitous usage of unstructured mesh in many application domains (e.g., computer aided design, scientific simulation, climate modeling, etc.), there is no specialized mesh database which supports storing and querying such data structures. Existing mesh libraries use file-based APIs which do not support declarative querying and are difficult to maintain. A mesh database can benefit thes...

Application of large eddy simulation (LES) to flows with increasingly complex geometry necessitates the extension of LES to unstructured meshes. A desirable feature for LES on unstructured meshes is that the filtering operation used to remove small scale motions from the flow commutes with the differentiation operator. If this commutation requirement is satisfied, the LES equations have the sam...