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Testing Weighted Splitting Schemes on a One-Column Transport-Chemistry Model

机译:在一列传输 - 化学模型上测试加权分裂方案

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In many transport-chemistry models, a huge system ofODEs of the advection-diffusion-reaction type has to be integrated in time. Typically, this is done with the help of operator splitting. Rosenbrock schemes combined with approximate matrix factorization (ROS-AMF) are an alternative to operator splitting which does not suffer from splitting errors. However, implementation of ROS-AMF schemes often requires serious changes in the code. In this paper we test another classical second order splitting introduced by Strang in 1963, which, unlike the popular Strang splitting, seemed to be forgotten and rediscovered recently (partially due to its intrinsic parallellism). This splitting, called symmetrically weighted sequential (SWS) splitting, is simple and straightforward to apply, independent of the order of the operators and has an operator-level parallelism. In the experiments, the SWS scheme compares favorably to the Strang splitting, but is less accurate than ROS-AMF.
机译:在许多交通化学模型中,必须及时整合巨大的平流扩散反应类型的系统。通常,这是在操作员分裂的帮助下完成的。与近似矩阵分子(ROS-AMF)相结合的RosenBrock方案是操作员分离的替代,其不会遭受分裂错误。但是,ROS-AMF方案的实现通常需要代码的严重变化。在本文中,我们测试了1963年斯特朗德引入的另一种经典二阶分裂,这与流行的斯特朗分裂不同,似乎被遗忘并最近被重新发现(部分是由于其内在的剖视图)。这种分割,称为对称加权顺序(SWS)分离,简单且简单地应用于运营商的顺序并且具有操作员级并行性。在实验中,SWS方案对突出分裂有利地比较,但比ROS-AMF更低。

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