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One major issue in the accurate solution of convection-dominated problems by means of high-order methods is the ability of the solver to maintain monotonicity. This problem is critical for spectral elements, where Gibbs oscillations may pollute the solution. However, typical filter-based stabilization techniques used with spectral elements are not monotone.(More)
We describe our ongoing effort to optimize a next-generation atmospheric model based on the continuous Galerkin, or spectral element, method: the Nonhydrostatic Unified Model of the Atmosphere (NUMA), which is targeted towards large cluster architectures. The linear solver within a distributed memory paradigm is critical for overall model efficiency. The(More)
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