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A class of deformational flow test cases for linear transport problems on the sphere |
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| Authors: | Ramachandran D. Nair Peter H. Lauritzen |
| Affiliation: | 1. Institute for Mathematics Applied to Geosciences (IMAGe), National Center for Atmospheric Research, 1850 Table Mesa Drive, Boulder, CO 80305, USA;2. Climate and Global Dynamics Division, NCAR Earth System Laboratory, National Center for Atmospheric Research, 1850 Table Mesa Drive, Boulder, CO 80305, USA |
| Abstract: | A class of new benchmark deformational flow test cases for the two-dimensional horizontal linear transport problems on the sphere is proposed. The scalar field follows complex trajectories and undergoes severe deformation during the simulation; however, the flow reverses its course at half-time and the scalar field returns to its initial position and shape. This process makes the exact solution available at the end of the simulation, and facilitates assessment of the accuracy of the underlying transport scheme. A procedure to eliminate possible cancellations of errors when the flow reverses is proposed. |
| Keywords: | Transport scheme Spherical geometry Cubed-sphere Divergent flow Deformational flow Discontinuous Galerkin Semi-Lagrangian |
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