High-order Galerkin methods for scalable global atmospheric models
نویسندگان
چکیده
Three different high-order finite element methods are used to solve the advection problem—two implementations of a discontinuous Galerkin and a spectral element (high-order continuous Galerkin) method. The three methods are tested using a 2D Gaussian hill as a test function, and the relative L2 errors are compared. Using an explicit Runge–Kutta time stepping scheme, all three methods can be parallelized using a straightforward domain decomposition and are shown to be easily and efficiently scaled across multiple-processor distributed memory machines. The effect of a monotonic limiter on a DG scheme is demonstrated for a non-smooth solution. Additionally, the necessary geometry for implementing these methods on the surface of a sphere is discussed. r 2007 Elsevier Ltd. All rights reserved.
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ورودعنوان ژورنال:
- Computers & Geosciences
دوره 33 شماره
صفحات -
تاریخ انتشار 2007