A global semi-Lagrangian spectral model of the shallow water equations with variable resolution
A new formulation of a semi-implicit, semi-Lagrangian spectral method is given together with a conformal mapping of the underlying Gaussian grid. The mapping based on the Schmidt transformation focuses grid resolution on a particular region. The advective form of the vorticity–divergence equations allows the conformal map to be incorporated in a semi-Lagrangian transport step while maintaining an efficient spectral transform algorithm. The shallow water equations on the sphere are solved to test the variable resolution spectral model. By focusing on a specified location, local details of the flow are more accurately resolved. Accuracy and stability of the method are compared with uniform spectral solutions.
- Research Organization:
- Oak Ridge National Laboratory (ORNL), Oak Ridge, TN (United States). Oak Ridge Leadership Computing Facility (OLCF), Oak Ridge, TN (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC)
- OSTI ID:
- 1564613
- Journal Information:
- Journal of Computational Physics, Journal Name: Journal of Computational Physics Journal Issue: 2 Vol. 206; ISSN 0021-9991
- Publisher:
- Elsevier
- Country of Publication:
- United States
- Language:
- English
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