The Effect Of Mesh Quality On Solution EfficiiencyFreitag, Lori A. and Carl OllivierGoochProceedings, 6th International Meshing Roundtable, Sandia National Laboratories, pp.249, October 1997


Lori A. Freitag
Abstract Preliminary numerical experiments are reported here to demonstrate the effect of mesh quality on the convergence rate of the commonlyused GMPES solver with Jacobi preconditioning, for incompressible flow over a cylinder. As shown in the figure on the left, large maximum angles significantly affect the number of iterations required for convergence, particularly if the maximum angle is greater than 178'. We also note that as the problem size increases (as indicated by N) the convergence degradation is more severe, In the figure on the right, we plot the difference in the time required to reach convergence on a poor quality mesh and the total time to reach convergence on an improved mesh which includes the time for mesh smoothing for three different problem sizes. The amount of time required for mesh smoothing is approximately 3.8, 8, and 15.7 seconds for N = 800, 1600 and 3200, respectively. Clearly, as the problem size and the maximum angle in the mesh increase, the amount of time saved by smoothing the mesh also increases. The presentation also includes results for GMRES with ILU preconditioning and purely advective and advectivediffusive applications.
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