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Title: An unstructured grid finite element algorithm for compressible turbulent flow computations
Author: Taghizadeh Manzari, M.
Awarding Body: University College of Swansea
Current Institution: Swansea University
Date of Award: 1995
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This work describes the design and implementation of an algorithm for solving the compressible turbulent flow equations, in two-dimensional space, using two-equation turbulence models. The basic governing equations of the fluid flow are presented and the transport equations for the turbulence kinetic energy and dissipation energy are given for both the k-epsilon and the k-omega models. Some basic physical concepts of turbulence are explained and several different versions of both the k-epsilon and the k-omega models are considered. The principle of upwind discretisation is discussed and some physical and mathematical aspects of the Euler equations are presented. Roe's flux-difference splitting scheme and the ideas behind a MUSCL higher-order extension are introduced. A brief discussion is also included on the concept of limiting. The finite element formulation employed in solving the governing equations is presented and some numerical issues regarding boundary conditions, time integration and robustness are discussed. Several test cases are solved and the effects of the limiters, mesh resolution, shock-boundary layer and shock-shock interactions and turbulence models are studied. Finally, some conclusions are drawn and a few guidelines for future research are presented.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available