Abstracts for the Conference on
Grid Adaptivity in Computational PDEs,
Edinburgh, July 96		Next
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The VLUGR solvers

J Verwer (Invited Presentation)

CWI
Kruislaan 413
1098 SJ Amsterdam
email janv@cwi.nl

Abstract

A general approach to grid adaptation for time-dependent PDEs is static local uniform grid refinement. In this approach, nested locally uniform space grids are created from a chosen base grid which are automatically adjusted in time to follow rapid spatial transitions. The adjustement in time takes place at discrete values of time which means that the PDE discretization is carried out on static non-moving grids.

In this expository lecture we will describe and illustrate the Vectorized Locally Uniform Grid Refinement solvers VLUGR2 and VLUGR3, which have been designed for general systems of 2D and 3D time-dependent PDEs in Cartesian coordinates. The VLUGR solvers use the implicit, 2nd-order BDF method for time integration and central, 2nd-order finite differences for spatial discretization. Domain boundaries are supposed to be locally parallel with the coordinate axes, but may otherwise be arbitrary. Arising systems of nonlinear algebraic equations are solved with modified Newton provided with preconditioned iterative solvers. The VLUGR solvers are completely vectorized for optimal performance on vector computers.

VLUGR2 and VLUGR3 have been written by Joke Blom with financial support from Cray Research Inc through the Dutch National Computing Facilities Foundation (NCF). The 2D code has been developed from Ron Trompert's research code MOORKOP, for which support was obtained from the RIVM (Dutch National Institute of Public Health and Environmental Protection). Both the 2D and 3D solvers are available via WWW http://www.cwi.nl/ gollum and ftp and will be published by ACM Trans. Math. Softw. (1996). The 2D solver will also become available in the PDE Chapter of the NAG library.

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Last modified Fri Jun 21 19:19:17 GB-Eire 1996 (DBD)