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Load-balancing for parallel adaptive unstructured grids
C Walshaw , M Cross & M G Everett
Centre for Numerical Modelling and Process Analysis,
University of Greenwich, London, SE18 6PF, UK
e-mail:
Abstract
The use of adaptive grid techniques on parallel machines can be one
of the most efficient ways to solve large PDE problems. In particular,
if the computational mesh is unstructured or irregular,
completely general geometries and complex behaviour can be
readily modelled and, in principle, the inherent sparsity of many such problems
can be exploited to obtain excellent parallel efficiencies.
However such codes can give rise to a series of
meshes in which the position and density of the data
points varies dramatically over the course of an integration and which may need
to be frequently repartitioned in order
that the computational load is evenly balanced and the amount of
interprocessor communication is minimised.
In this talk we shall describe a parallel optimisation
strategy for solving this dynamic load-balancing problem.
The optimisation technique which marries a
Kernighan Lin type algorithm with a distributed load-balancing
algorithm will be outlined and we will briefly discuss the choice
of suitable gain functions.
The algorithm works both in serial and in parallel and
results indicative of both partition quality and the parallel performance
of the partitioning will be presented.
Last modified Fri Jun 21 19:19:17 GB-Eire 1996
(DBD)