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Compressible flow simulation on a parallel computer

Compressible flow simulation on a parallel computer
Compressible flow simulation on a parallel computer

In the last decade, computer simulation of compressible flow has seen a steady movement away from classical artificial viscosity methods towards more sophisticated, but usually more expensive, high resolution algorithms. During this same period there has been a dramatic change in computer architectures with the development of new, large scale distributed memory parallel machines. With the advent of parallel processing, more importance has become attached to numerical algorithms in which the work load can be efficiently distributed across multiple processors. This thesis considers the parallel implementation of a mesh generator with an adaptive remeshing capability and a specially developed second order Total Variation Diminishing scheme. The parallel shock capturing algorithm compresses the widened numerical stencil which results in a very low interprocessor communication requirement and avoids calculations being redundantly duplicated across processors. The scheme gives sharp resolution of shock waves without the need of tunable parameters and, being vertex based, is easily supplemented with boundary conditions. The use of a particular monitor and flux-limiter allows the scheme to avoid the expensive characteristic decomposition in all but a few critical regions of the flow. The majority of the flow field is processed by a simple central difference shceme and the overall speed is therefore comparable with the fastest artificial viscosity methods.

University of Southampton
Batten, Paul
Batten, Paul

Batten, Paul (1991) Compressible flow simulation on a parallel computer. University of Southampton, Doctoral Thesis.

Record type: Thesis (Doctoral)

Abstract

In the last decade, computer simulation of compressible flow has seen a steady movement away from classical artificial viscosity methods towards more sophisticated, but usually more expensive, high resolution algorithms. During this same period there has been a dramatic change in computer architectures with the development of new, large scale distributed memory parallel machines. With the advent of parallel processing, more importance has become attached to numerical algorithms in which the work load can be efficiently distributed across multiple processors. This thesis considers the parallel implementation of a mesh generator with an adaptive remeshing capability and a specially developed second order Total Variation Diminishing scheme. The parallel shock capturing algorithm compresses the widened numerical stencil which results in a very low interprocessor communication requirement and avoids calculations being redundantly duplicated across processors. The scheme gives sharp resolution of shock waves without the need of tunable parameters and, being vertex based, is easily supplemented with boundary conditions. The use of a particular monitor and flux-limiter allows the scheme to avoid the expensive characteristic decomposition in all but a few critical regions of the flow. The majority of the flow field is processed by a simple central difference shceme and the overall speed is therefore comparable with the fastest artificial viscosity methods.

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Published date: 1991

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Local EPrints ID: 460983
URI: http://eprints.soton.ac.uk/id/eprint/460983
PURE UUID: a8bc53c3-da57-4672-97c6-12e8b80aa8b4

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Date deposited: 04 Jul 2022 18:33
Last modified: 04 Jul 2022 18:33

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Author: Paul Batten

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