Thesis (Ph.D.) -- Mississippi State University. Department of Mechanical Engineering. / Title from title screen. Includes bibliographical references.

Thesis (Ph. D.)--University of Texas at Austin, 2005. / Supervisors: Clinton N. Dawson and Yannis Kallinderis. Vita. Includes bibliographical references.

Thesis (M.S.) -- Mississippi State University. Computational Engineering. / Title from title screen. Includes bibliographical references.

Dissertation (Ph.D.)--Worcester Polytechnic Institute. / Keywords: PIC, unstructured grid, plasma simulation. Includes bibliographical references (p.129-135).

Thesis (M.S.)--Brigham Young University. Dept. of Mechanical Engineering, 2005. / Includes bibliographical references (p. 107-109).

Thesis (M.Eng.)(Mechanical)--University of Pretoria, 2006. / Includes summary. Includes bibliographical references. Available on the Internet via the World Wide Web.

Thesis (M.S.)--University of Alabama at Birmingham, 2007. / Description based on contents viewed June 25, 2007; title from title screen. Includes bibliographical references (p. 49-50).

This thesis presents a multi-grid scheme applied to the solution of transport equations in turbulent flow associated with heat transfer. The multi-grid scheme is then applied to flow which occurs in the film cooling of turbine blades. The governing equations are discretized on a staggered grid with the hybrid differencing scheme. The momentum and continuity equations are solved by a nonlinear full multi-grid scheme with the SIMPLE algorithm as a relaxation smoother. The turbulence k — Є equations and the thermal energy equation are solved on each grid without multi-grid correction. Observation shows that the multi-grid scheme has a faster convergence rate in solving the Navier-Stokes equations and that the rate is not sensitive to the number of mesh points or the Reynolds number. A significant acceleration of convergence is also produced for the k — Є and the thermal energy equations, even though the multi-grid correction is not applied to these equations. The multi-grid method provides a stable and efficient means for local mesh refinement with only little additional computational and.memory costs. Driven cavity flows at high Reynolds numbers are computed on a number of fine meshes for both the multi-grid scheme and the local mesh-refinement scheme. Two-dimensional film cooling flow is studied using multi-grid processing and significant improvements in the results are obtained. The non-uniformity of the flow at the slot exit and its influence on the film cooling are investigated with the fine grid resolution. A near-wall turbulence model is used. Film cooling results are presented for slot injection with different mass flow ratios. / Science, Faculty of / Mathematics, Department of / Graduate

The presented research summarizes (1) the development of a rapid prototyping framework, (2) the application of advance meshing algorithms, data structures, programming languages and libraries toward the field of numerical surface-water modeling (NSWM), (3) the application of (2) in (1), and (4) a real world application. The result of the research was the development of a prototype grid generator tool, the Mesh Generation and Refinement Tool (MGRT). MGRT supports a customizable interface and plug-and-play functionality through the use of plug-ins and incorporates a plug-in based topology/geometry system. A detailed explanation of the data structures, algorithms, and tools used to construct the MGRT are presented. Additionally, the construction of a mesh of Mobile Bay is presented. This represents a real world application of the MGRT. This tool provides many benefits over current tools in NSWM, which include faster meshing and the ability the use any grid generator that can be plugged-in.

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