Date of Award:

5-2015

Document Type:

Thesis

Degree Name:

Master of Science (MS)

Department:

Mechanical and Aerospace Engineering

Committee Chair(s)

Aaron Katz

Committee

Aaron Katz

Committee

Robert E. Spall

Committee

Tadd Truscott

Abstract

Computational Fluid Dynamics (CFD) is an attempt to mimic the physical world of fluids around us. In general, CFD simulations are completed by first making a mesh. Meshes are made of polygons that are arranged in such a way as to create the item in question and the fluid around it. There are many difficulties associated with mesh generation, and it can take days or weeks for a trained professional to produce adequate meshes. The CFD algorithms affect the accuracy of the simulation. Using high-order methods, more accurate results can be achieved than otherwise possible. Flux correction (FC) is a high-order method that uses a simple correction term, upgrading low-order methods to high-order. Some fluids, such as air, are compressible, meaning the density can be changed following a set of relationships between pressure and temperature. Other fluids, such as water, can be considered incompressible, where they do not change density to any large extent. Using a mathematical method called preconditioning, FC has been extended to incompressible flows. Before this can be used generally, it must pass verification and validation tests. Verification test show that the method is working how it should, usually these tests have little to no meaning in the real world. Validation tests show that real world physics can be mimicked. These tests usually are real world problems that have solutions that are either analytical, experimental, or produced by other verified CFD programs. In this work specifics of CFD, meshing, FC, and preconditioning will be explained, and verification and validation will be completed.

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