High Order Resolution and Parallel Implementation on Unstructured Grids a Thesis Doctor of Philosophy
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High Order Resolution and Parallel Implementation on Unstructured Grids. (December 1996) Yufeng Yao, University of Glasgow Supervisor: Professor B. E. Richards In this thesis the numerical solution of the two-dimensional compressible NavierStokes equations for the application on aerodynamic problems is tackled. The motivation is to develop a cell-centred upwind finite volume scheme with high order accuracy and parallelism. A general description of the two-dimensional compressible Navier-Stokes equations for application to computational fluid dynamics has been given, which forms the basis for the overall research throughout the thesis. The numerical solution of the two-dimensional inviscid Euler flow equations is given. The unstructured mesh is generated by the advancing front technique. A cell-centred upwind finite volume method has been adopted to discretize the Euler equations. Both explicit and point implicit time stepping algorithms are derived. The flux calculation using Roe's and Osher's approximate Riemann solvers are studied. It is shown that both the Roe and Osher's schemes produce an accurate representation of discontinuities (e. g. shock wave). It is also shown that better convergence performance has been achieved by the point implicit scheme than that by the explicit scheme. Validations have been done for subsonic and transonic flow over airfoils, supersonic flow past a compression corner and hypersonic flow past cylinder and blunt body geometries. An adaptive remeshing procedure is also applied to the numerical solution with the objective of getting improved results. The issue of high order reconstruction on unstructured grids has been discussed.
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تاریخ انتشار 1996