The University of Southampton
University of Southampton Institutional Repository

An adaptive, three-dimensional, finite volume, Euler solver for distributed architectures using arbitary polyhedral cells

An adaptive, three-dimensional, finite volume, Euler solver for distributed architectures using arbitary polyhedral cells
An adaptive, three-dimensional, finite volume, Euler solver for distributed architectures using arbitary polyhedral cells

The use of more than one cell topology in unstructured meshes may impose additional limitations upon the intrinsic adaptivity of the mesh. Additional geometrical entities have been used to install descriptions of arbitrary polyhedra within an unstructured mesh, permitting the incorporation of any mix of cell topologies, whilst maintaining the intrinsic of the mesh.

Three-dimensional, unstructured, hybrid meshes are constructed using a modified multi-block approach in which unstructured data is used to naturally incorporate mesh singularities, and permit zonal adaptations. The meshes are used to demonstrate a finite volume Euler flow solver, which efficiently operates on an edge structure such that no limitations are imposed upon the mesh topology.

Results obtained using a first order upwind scheme demonstrate the shock capturing abilities for a range of two and three-dimensional transonic flows. The implementation of a higher order method, using the MUSCL formulae, illustrates the non-trivial nature of applying such techniques within an arbitrary cell environment, whilst solutions obtained for two and three-dimensional transonic flows demonstrate the increased resolution obtained.

The implementation across distributed platforms is described in detail, with good performance results presented for a range of architectures, including a workstation cluster and an IBM SP2.

An adaptive mesh algorithm is employed to automatically identify and resolve local flow features. No limitations are placed on the adaptation of mesh cells, which is demonstrated for a supersonic internal channel flow, where the strong shock waves are clearly captured using a hexahedral to polyhedral strategy.

University of Southampton
Rycroft, Noel Christopher
3b44b366-42da-4fd6-8112-25f3005b0dd4
Rycroft, Noel Christopher
3b44b366-42da-4fd6-8112-25f3005b0dd4

Rycroft, Noel Christopher (1998) An adaptive, three-dimensional, finite volume, Euler solver for distributed architectures using arbitary polyhedral cells. University of Southampton, Doctoral Thesis.

Record type: Thesis (Doctoral)

Abstract

The use of more than one cell topology in unstructured meshes may impose additional limitations upon the intrinsic adaptivity of the mesh. Additional geometrical entities have been used to install descriptions of arbitrary polyhedra within an unstructured mesh, permitting the incorporation of any mix of cell topologies, whilst maintaining the intrinsic of the mesh.

Three-dimensional, unstructured, hybrid meshes are constructed using a modified multi-block approach in which unstructured data is used to naturally incorporate mesh singularities, and permit zonal adaptations. The meshes are used to demonstrate a finite volume Euler flow solver, which efficiently operates on an edge structure such that no limitations are imposed upon the mesh topology.

Results obtained using a first order upwind scheme demonstrate the shock capturing abilities for a range of two and three-dimensional transonic flows. The implementation of a higher order method, using the MUSCL formulae, illustrates the non-trivial nature of applying such techniques within an arbitrary cell environment, whilst solutions obtained for two and three-dimensional transonic flows demonstrate the increased resolution obtained.

The implementation across distributed platforms is described in detail, with good performance results presented for a range of architectures, including a workstation cluster and an IBM SP2.

An adaptive mesh algorithm is employed to automatically identify and resolve local flow features. No limitations are placed on the adaptation of mesh cells, which is demonstrated for a supersonic internal channel flow, where the strong shock waves are clearly captured using a hexahedral to polyhedral strategy.

This record has no associated files available for download.

More information

Published date: 1998

Identifiers

Local EPrints ID: 463498
URI: http://eprints.soton.ac.uk/id/eprint/463498
PURE UUID: 0968e372-d5f2-4de0-a192-848fe6cb7cbd

Catalogue record

Date deposited: 04 Jul 2022 20:52
Last modified: 18 Apr 2023 16:30

Export record

Contributors

Author: Noel Christopher Rycroft

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×