用Matlab实现Stokes方程的多网格技术

Muhammad Suleman Sial, Wajid Ahmed Siya, Muhammad Afzal Sahito
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引用次数: 0

摘要

在地貌过程的计算模型中,采用了斯托克斯方程。在求解器中加入了多重网格法,使我们可以构造这些问题的解。当试图求解带有病态矩阵的椭圆微分方程时,由于矩阵内部的点集合并了相同的动量和质量公式以及由于流变而具有可自定义的粘度,因此经常使用插值方法开始减少迭代和增量阶段。利用Matlab的优势和可用图形处理单元(gpu)的功能,我们使用计算统一设备模型(CUDA)加速原始Matlab例程。
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Implementing a Multigrid Tecnique For Stokes Equations Using Matlab
In computational models of geomorphologic processes Stokes equations have been employed. Multigrid method is added to our solver so that we may construct a solution for these problems. When trying to solve the ellipse differential equation with ill-conditioned matrix, the interpolation method is frequently used to start reducing the iterative and incremental stages due to the point sets inside the matrix merging this same momentum as well as mass formulae and the firmly customisable viscosity due to rheology. Utilizing advantages of the Matlab and the capabilities of the available Graphic Processing Units (GPUs), we accelerate the original Matlab routines using the Compute Unified Device Model (CUDA)
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