Recent progresses in the development of a parallel multirate strategy for ocean modeling

Seny, Bruno;Lambrechts, Jonathan;Legat, Vincent;Remacle, Jean-François
(2013) The 12th International workshop on Multi-scale (Un)-structured mesh numerical Modeling for coastal, shelf, and global ocean dynamics — Location: Austin, Texas, USA (16.September.2013)

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Multirate explicit schemes have the vocation of reducing the important limitations due to the severe restrictions on the time step imposed by the Courant-Friedrichs-Lewy(CFL) condition. Important gaps between the smallest and largest element-wise stable time step may occur for problems with unstructured meshes and/or highly varying advection speeds. The idea is to organize the mesh elements in groups that share a local stability limit and ensure a adequate transition between them by inserting buffer layers. Conservative multirate schemes of second-order have been proposed by Constantinescu [1] and a third order scheme has been developed by Schlegel [2]. These methods have proven to be very attractive in the discontinuous Galerkin (DG) framework [3]. Extending these multirate strategies to the parallel context is challenging since a classical mesh partitioning is not adequate anymore. Indeed, the computational and communication costs are not constant at each stage of the algorithm. Therefore we use a multi-constraint heuristic to find the best compromise between load-balancing constraints and minimization of communication overheads. The purpose of the present work is to extend the parallel strategy developed in [4] for the second-order multirate schemes of Constantinescu to the third order multirate method of Schlegel. Performance results will be presented for several realistic applications in marine flow modeling.
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Seny, B., Lambrechts, J., Legat, V., & Remacle, J.-F. (2013). Recent progresses in the development of a parallel multirate strategy for ocean modeling. The 12th International workshop on Multi-scale (Un)-structured mesh numerical Modeling for coastal, shelf, and global ocean dynamics, Austin, Texas, USA. https://hdl.handle.net/2078.5/231599