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Title: Unstructured grid methods and moving boundary problems
Author: Bailey, R. H.
Awarding Body: University College of Swansea
Current Institution: Swansea University
Date of Award: 1991
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The work presented in this thesis is concerned with the modelling of moving boundary problems, with particular reference to the solution of the problem of the release of a store from beneath an aircraft wing. Chapter 2 presents a two-dimensional unstructured mesh generation procedure for generating grids of three-noded triangular elements about any number of arbitrarily shaped geometries and within an arbitrarily shaped domain. The method combines a Quadtree point generation procedure with a Delaunay triangulation algorithm. The method is used to generate the grids for the moving boundary algorithm. Chapter 3, a moving boundary flow solution algorithm and the corresponding data control structure are presented. The flow solver uses the explicit timestepping procedure of Lohner et al. A multiple grid or grid embedding procedure is used to model the motion of a body relative to another or other stationary bodies. A minor grid encloses the moving body and is allowed to move under a prescribed motion over the grid enclosing the stationary bodies spanning the domain. A number of steady state problems are analysed and a simple store release case is examined. Chapter 4 presents an implicit finite element scheme for the solution of the flow problems using an unstructured computational grid. The algorithm is based upon the centred finite difference scheme of Lerat et al. The governing equations are solved using a Generalized Minimal Residual method, which is related to the Conjugate Gradient method. A number of steady state flow solutions are presented. Finally, the implicit algorithm is incorporated into the moving boundary data structure of Chapter 3 and results for the new scheme are presented.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available