Multigrid on Composite Meshes

The multigrid method is applied to the numerical solution of elliptic equations on general composite overlapping meshes. Computational results show that good convergence rates are obtained

Overture: The grid classes

Overture is a library containing classes for grids, overlapping grid generation and the discretization and solution of PDEs on overlapping grids. This document describes the Overture grid classes, including classes for single grids and classes for collections of grids

Overture - Object-oriented tools for overset grid applications

The Overture framework is an object-oriented environment for solving partial differential equations in two and three space dimensions. It is a collection of C++ libraries that enables the use of finite difference and finite volume methods at a level that hides the details of the associated data structures. Overture can be used to solve problems in complicated, moving geometries using the method of overlapping grids. It has support for grid generation, difference operators, boundary conditions, data-base access and graphics. Short sample code segments are presented to show the power of this approach

Adaptive composite overlapping mesh algorithms on message passing architectures

This project developed high-level computational tools that facilitate the development of fluid flow simulation software using the adaptive composite overlapping mesh method. An objective-oriented approach was take which used the C++ programming language to develop libraries containing C++ classes that provide abstractions of the basic operations required to assemble the required simulation software. Through this approach, it was also possible to hide many of the details of the computations required on parallel computer architectures. Result is the basis for a high-level programming environment that facilitates the development of high-resolution simulation software on serial or parallel computer architectures for the equations describing fluid flow in regions with complex geometry