TITLE:

FLEXIBLE NUMERICAL ALGORITHM WITH GRID ADAPTATION (No. 77)

DATE:

Friday, May 6th, 2005

TIME:

3:30 PM

LOCATION:

GMCS 214

SPEAKER:

Sergei Galkin, Theory Department, General Atomics

ABSTRACT:

A flexible adaptive unstructured grid technique to solve partial differential equations has been recently developed. Applied to complex nonlinear problems such as rotating star equilibria, plasma equilibria with negative central current, convection-diffusion problem with high Reynolds numbers, the method had demonstrated high accuracy, robustness and performance. Several difficulties, inherent in these nonlinear problems namely unknown boundaries, boundary layers and existence of solutions with different topology, were clearly numerically resolved and accurate solutions were obtained on grids with a relatively small total number of grid points. Due to its flexibility, the approach looks very promising and can bring essential benefits being applied to problems with different kind of singularities where grid adaptation is really needed. The method can be straightforwardly extended to 3D problems as well as to time dependant problems. The algorithm applications, current status and perspectives of further development are discussed.

HOST:

Jose Castillo

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