Numerical methods for vortical flows

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dc.contributor.advisor Shaw, Scott T.
dc.contributor.advisor Garry, Kevin P. Knight, Katherine 2010-08-18T14:21:13Z 2010-08-18T14:21:13Z 2007-01
dc.description.abstract An investigation into the current methods employed to conserve vorticity in numerical calculations is undertaken. Osher’s flux for the artificial compressibility equations is derived, implemented and validated in Cranfield University’s second order finite volume compressible flow solver MERLIN. Characteristic Decomposition is applied as a method of vorticity conservation in both the compressible and artificial compressibility MERLIN solvers. The performance of this method for vorticity conservation in both these solvers is assessed. Following a discussion of the issues associated with application of limiter functions on unstructured grids three modified versions of the method of Characteristic Decomposition are proposed and tested in both the compressible and incompressible solvers. It is concluded that the method of Characteristic Decomposition is an effective method for improving vorticity conservation and compares favourably in terms of increased computational cost to vorticity conservation through grid refinement. en_UK
dc.language.iso en en_UK
dc.publisher Cranfield University en_UK
dc.rights ©Cranfield University, 2007 en_UK
dc.title Numerical methods for vortical flows en_UK
dc.type Thesis or dissertation en_UK
dc.type.qualificationlevel Doctoral en_UK
dc.type.qualificationname PhD en_UK

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