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Title: Multigrid and iterative methods for the finite element solution of incompressible and turbulent fluid flow
Author: Lavery, N. P. N.
Awarding Body: University of Wales Swansea
Current Institution: Swansea University
Date of Award: 1997
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This thesis can be said to consist of two main areas, matrix equation solvers, and the finite element simulation of turbulent and incompressible fluid flow. The main objective of the project was to minimise the time required to solve the matrix equations which arise in the finite element solution by using other, theoretically faster, methods than the frontal solver. The unsymmetric Frontal matrix equation solution technique is compared to four iterative Lanczos type solvers, namely , the methods of Least Squares Conjugate Gradient (LSCG), Bi-Conjugate Gradient (BCG), Conjugated Gradient Squared (CGS) and Bi-Conjugate Gradient Squared sTABilised (BCGSTAB). The multigrid algorithm is applied to the finite element solution with two and three levels of grid and with a V-cycling schedule. This method is then compared to the iterative and frontal solvers. Finally, a pressure segregated method is implemented and the effect of the pressure segregation on the speed of the iterative solvers and on the flow variables is examined.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available