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T-Space at The University of Toronto Libraries >
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Please use this identifier to cite or link to this item: http://hdl.handle.net/1807/29528

Title: Development of a High-order Finite-volume Method for Unstructured Meshes
Authors: McDonald, Sean D.
Advisor: Groth, Clinton P. T.
Department: Aerospace Science and Engineering
Keywords: Computational Fluid Dynamics
High-Order
Central Essentially Non-Oscillatory
Unstructured Mesh
Fluid Dynamics
Issue Date: 23-Aug-2011
Abstract: The development of high-order solution methods remain a very active field of research in Computational Fluid Dynamics (CFD). These types of schemes have the potential to reduce the computational cost necessary to compute solutions to a desired level of accuracy. The goal of this thesis has been to develop a high-order Central Essentially Non Oscillatory (CENO) finite volume scheme for multi-block unstructured meshes. In particular, solutions to the compressible, inviscid Euler equations are considered. The CENO method achieves a high-order spatial reconstruction based on the k-exact method, combined with hybrid switching to limited piecewise linear reconstruction in non-smooth regions to maintain monotonicity. Additionally, fourth-order Runge-Kutta time marching is applied. The solver described has been validated through a combination of high-order function reconstructions, and solutions to the Euler equations. Cases have been selected to demonstrate high-orders of convergence, the application of the hybrid switching method, and the multi-block techniques which has been implemented.
URI: http://hdl.handle.net/1807/29528
Appears in Collections:Master

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