Hexahedral meshes are an ubiquitous domain for the numerical resolution of partial differential equations. Computing a pure hexahedral mesh from adaptively refined grid is prominent approach to automatic hexmeshing, and requires ability restore all hex property around hanging nodes that arise at interface between cells having different size. The most advanced tools accomplish this task based on...

We describe an adaptive higher-order Godunov method for the compressible Euler equations with an arbitrary convex equation of state in a three-dimensional system of orthogonal curvilin-ear coordinates. The single grid algorithm is a fractional-step method which uses a second-order Godunov method for gas dynamics in each fractional step. The single grid algorithm is coupled to a conservative loc...

Geometric deformable models based on the level set method have become very popular in the last several years. To overcome an inherent limitation in accuracy while maintaining computational efficiency, adaptive grid techniques using local grid refinement have been developed for use with these models. This strategy, however, requires a very complex data structure, yields large numbers of contour ...

This paper presents the design and implementation of dynamic distributed data-structures to support parallel adaptive (multigrid) nite diierence codes based on hierarchical adaptive mesh-reenement (AMR) techniques for the solution of partial diieren-tial equations. The abstraction provided by the data-structures is a dynamic hierarchical grid where operations on the grid are independent of its ...

In this paper, we develop a three-dimensional adaptive method based on iterative grid redistribution technique introduced in [J. Comput. Phys. 159 (2000) 246]. The key step for the successful implementation is a fast algorithm for grid generation, which is composed of solving the linear grid equation systems and an efficient method for inverting a map by computing iso-surface intersections. To ...

This paper presents the design and implementa tion of dynamic distributed data structures to sup port parallel adaptive multigrid nite di erence codes based on hierarchical adaptive mesh re nement AMR techniques for the solution of partial di eren tial equations The abstraction provided by the data structures is a dynamic hierarchical grid where oper ations on the grid are independent of its di...

In this paper, we present the multilevel adaptive wavelet collocation method for solving non-divergent barotropic vorticity equation over spherical geodesic grid. This method is based on multi-dimensional second generation wavelet over a spherical geodesic grid. The method is more useful in capturing, identifying, and analyzing local structure [1] than any other traditional methods (i.e. finite...

An adaptive grid dynamical core for a global atmospheric climate model has been developed. Adaptations allow a smooth transition from hydrostatic to non-hydrostatic physics at small resolution. The adaptations use a parallel program library for block-wise adaptive grids on the sphere. This library also supports the use of a reduced grid with coarser resolution in the longitudinal direction as t...