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Large‐scale simulation of shallow water waves via computation only on small staggered patches
International Journal for Numerical Methods in Fluids ( IF 1.8 ) Pub Date : 2020-11-03 , DOI: 10.1002/fld.4915
Judith E. Bunder 1 , Jayaraman Divahar 1 , Ioannis G. Kevrekidis 2 , Trent W. Mattner 1 , Anthony J. Roberts 1
Affiliation  

The multiscale patch scheme is built from given small micro-scale simulations of complicated physical processes to empower large macro-scale simulations. By coupling small patches of simulations over unsimulated spatial gaps, large savings in computational time are possible. Here we discuss generalising the patch scheme to the case of wave systems on staggered grids in 2D space. Classic macro-scale interpolation provides a generic coupling between patches that achieves arbitrarily high order consistency between the emergent macro-scale simulation and the underlying micro-scale dynamics. Eigen-analysis indicates that the resultant scheme empowers feasible computation of large macro-scale simulations of wave systems even with complicated underlying physics. As examples we use the scheme to simulate some wave scenarios via a turbulent shallow water model.

中文翻译:

仅在小交错斑块上通过计算对浅水波进行大规模模拟

多尺度补丁方案是根据复杂物理过程的给定小微观模拟构建的,以支持大型宏观模拟。通过在未模拟的空间间隙上耦合小块模拟,可以大大节省计算时间。在这里,我们讨论将补丁方案推广到二维空间中交错网格上的波浪系统的情况。经典的宏观尺度插值提供了补丁之间的通用耦合,可在出现的宏观尺度模拟和潜在的微观尺度动力学之间实现任意高阶一致性。特征分析表明,即使具有复杂的基础物理,所得到的方案也能够对波浪系统的大型宏观尺度模拟进行可行的计算。
更新日期:2020-11-03
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