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AN EFFICIENT MULTIPROCESSOR SOLVER FOR THE 2D SHALLOW WATER EQUATIONS

机译:用于2D浅水方程的有效多处理器求解器

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A strategy for solving the complete 2D shallow water equations on a Cartesian grid is described. Two schemes are used: a Godunov approach with a first order in time and space scheme based on Roe's approximate Riemann solver and a raster-based approach which uses the mass conservation equation in uniform flow assumption. A single processor version of the algorithm which sweeps the complete grid is first demonstrated. Subsequently a multiple processor version is demonstrated for use on a High-performance Grid Computer. Two different underlying domain division techniques are described: the classic Halo swap with non periodic boundary conditions and an independent flood plain treatment. The latter is demonstrated with communication between processors based on the Message Passage Interface libraries, MPI. The purpose of the research was to assess how fine a grid resolution is feasible based on an analysis of computational times for flood inundation prediction.
机译:描述了一种求解笛卡尔电网上完整的2D浅水方程的策略。使用了两种方案:基于ROE近似Riemann求解器的时间和空间方案中具有第一顺序的Godunov方法,以及使用均匀流动假设中的质量保护方程的基于栅格的方法。首先展示扫描完整网格的算法的单个处理器版本。随后展示了多个处理器版本,用于高性能电网计算机。描述了两种不同的底层域划分技术:具有非周期性边界条件和独立洪水平原处理的经典光环交换。后者通过基于消息通道接口库,MPI进行处理器之间的通信进行说明。该研究的目的是评估网格分辨率的精细是如何基于对洪水淹没预测的计算时间的可行性。

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