Aerodynamic flow calculations using finite-differences and multigrid.
Published: 2004
Language: eng
Number of pages: 146
Description: A multigrid solver is presented based on generalized curvilinear coordinates using explicit Runge-Kutta time-marching and finite-difference spatial discretization in which fast convergence rates are realized by using novel weighted restriction and prolongation operators. The restriction and prolongation operators use variable weighting factors in such a way as to account for the stretching and curvilinear nature of each grid level. The Euler and thin-layer Navier-Stokes equations are solved for various flows over airfoils. Convergence histories are compared to those from an implicit approximately-factored multigrid solver. The results show the implicit approach to be somewhat more efficient in terms of CPU time; however, the explicit algorithm may be more amenable to massively parallel implementation.
Notes: Adviser:  David W. Zingg.

Thesis (Ph.D.)--University of Toronto, 2004.

Electronic version licensed for access by U. of T. users.

Source: Dissertation Abstracts International, Volume: 65-10, Section: B, page: 5251.