Automated adaptation of spatial grids for flow solutions around marine bodies of complex geometry
Automated adaptation of spatial grids for flow solutions around marine bodies of complex geometry
Marine bodies have complex geometry and are subject to various physical phenomenon, such as the free surface and turbulence. These require a variety of cell topologies which, when combined, often restrict the geometrical discretisation of the domain. The approach taken has been to use control volumes of arbitrary definition to allow the benefits of mesh adaptivity as well as a mix of cell topologies
Three dimensional unstructured meshes are constructed using a data structure that lowers memory requirements from previous methodology and allows efficient and complex mesh adaption. A three dimensional Euler flow solver has been developed that utilises this mesh definition with artificial compressibility. The generalised fluxes for arbitrarily shaped moving meshes have been mathematically derived for a flux vector splitting scheme. The solver operates upon a face structure using a first order upwinding spatial discretisation. Validation has shown that results are convergent. Case studies have included flow over an arc hump, a foil at an angle of attack and a truncated structure.
Meshes have been assessed with respect to both geometrical and flow solution properties, and numerical quantification of the parameters relevant to the solution accuracy has been defined. Facial skew is the most influential geometrical property while the local pressure gradient has been used to assess local solution accuracy. Quality quantification parameters have been used to control a variety of mesh adaptation techniques. Control volume splitting, merging and vertex manipulation have been used to improve solution accuracy with respect to computational efficiency. In addition, the cellular splitting algorithm has been used to create a multigrid scheme that increases the computational efficiency still further.
University of Southampton
Wright, Alexander Mitchell
7e7094fc-e950-4eac-8d4d-18f40379146d
2000
Wright, Alexander Mitchell
7e7094fc-e950-4eac-8d4d-18f40379146d
Wright, Alexander Mitchell
(2000)
Automated adaptation of spatial grids for flow solutions around marine bodies of complex geometry.
University of Southampton, Doctoral Thesis.
Record type:
Thesis
(Doctoral)
Abstract
Marine bodies have complex geometry and are subject to various physical phenomenon, such as the free surface and turbulence. These require a variety of cell topologies which, when combined, often restrict the geometrical discretisation of the domain. The approach taken has been to use control volumes of arbitrary definition to allow the benefits of mesh adaptivity as well as a mix of cell topologies
Three dimensional unstructured meshes are constructed using a data structure that lowers memory requirements from previous methodology and allows efficient and complex mesh adaption. A three dimensional Euler flow solver has been developed that utilises this mesh definition with artificial compressibility. The generalised fluxes for arbitrarily shaped moving meshes have been mathematically derived for a flux vector splitting scheme. The solver operates upon a face structure using a first order upwinding spatial discretisation. Validation has shown that results are convergent. Case studies have included flow over an arc hump, a foil at an angle of attack and a truncated structure.
Meshes have been assessed with respect to both geometrical and flow solution properties, and numerical quantification of the parameters relevant to the solution accuracy has been defined. Facial skew is the most influential geometrical property while the local pressure gradient has been used to assess local solution accuracy. Quality quantification parameters have been used to control a variety of mesh adaptation techniques. Control volume splitting, merging and vertex manipulation have been used to improve solution accuracy with respect to computational efficiency. In addition, the cellular splitting algorithm has been used to create a multigrid scheme that increases the computational efficiency still further.
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Published date: 2000
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Local EPrints ID: 464216
URI: http://eprints.soton.ac.uk/id/eprint/464216
PURE UUID: 06d21a61-3f37-4dde-bd1d-0aeb2a821e1f
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Date deposited: 04 Jul 2022 21:36
Last modified: 16 Mar 2024 19:20
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Author:
Alexander Mitchell Wright
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