A parallel non-hydrostatic shallow water model on adaptive triangular meshes in $sam(oa)$^2

نویسندگان

  • Philipp Samfaß
  • Raphael Schaller
چکیده

Even with current extreme scale systems, the accurate simulation of tsunamis continues to be a challenging problem. One commonly used model for this task are the hydrostatic shallow water equations which, however, are not able to represent all relevant physical effects of tsunamis. In this paper, we therefore show how to solve the non-hydrostatic shallow water equations in parallel within the partial differential equation framework sam(oa) by extending the existing ®nite volume method for solving the hydrostatic shallow water equations. We present an element-oriented dual grid discretization of the equation for the non-hydrostatic pressure on triangular adaptive meshes which allows for a matrix-free conjugate gradient solver for the corresponding system of linear equations. In addition, the validity of the new model is shown based on two common numerical experiments for non-hydrostatic shallow water models. Because we aim at solving large-scale problems on high performance computing architectures, we demonstrate our distributed memory parallelization which resulted in a parallel ef®ciency of 90.1% from 1 to 8192 cores for weak scaling and 96.8% from 16 to 512 cores for strong scaling.

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تاریخ انتشار 2016