An Adaptive Semi-Lagrangian Advection Scheme and Its Parallelization

Jörn Behrens Alfred-Wegener-Institut, Institute for Polar and Marine Research Bremerhaven, Germany

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Abstract

A semi-Lagrangian advection scheme has been implemented for the linear passive advection equation. The advected scalar field is represented in terms of finite-element bases on a self-adaptive grid.

Results concerning the accuracy of the numerical scheme compare well to those with finite-difference schemes on regular meshes found in the literature. Quasi-monotone and quasi-conservative interpolation schemes have been implemented.

A parallelized version of the code shows good performance on a KSR-1 virtual shared memory computer.

Abstract

A semi-Lagrangian advection scheme has been implemented for the linear passive advection equation. The advected scalar field is represented in terms of finite-element bases on a self-adaptive grid.

Results concerning the accuracy of the numerical scheme compare well to those with finite-difference schemes on regular meshes found in the literature. Quasi-monotone and quasi-conservative interpolation schemes have been implemented.

A parallelized version of the code shows good performance on a KSR-1 virtual shared memory computer.

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