Computational performance of a parallelized high-order spectral and mortar element toolbox

TL;DR

This paper evaluates the parallel computational performance of a high-order spectral and mortar element toolbox using a CFD benchmark, comparing actual results to a heuristic Gamma model to guide future development.

Contribution

It provides a detailed performance review and modeling comparison for a parallel spectral and mortar element toolbox, offering specific recommendations for development on commodity clusters.

Findings

Parallel efficiency varies with problem size and hardware configuration.

The Gamma model effectively predicts performance trends.

Recommendations improve toolbox scalability and efficiency.

Abstract

In this paper, a comprehensive performance review of a MPI-based high-order spectral and mortar element method C++ toolbox is presented. The focus is put on the performance evaluation of several aspects with a particular emphasis on the parallel efficiency. The performance evaluation is analyzed and compared to predictions given by a heuristic model, the so-called Gamma model. A tailor-made CFD computation benchmark case is introduced and used to carry out this review, stressing the particular interest for commodity clusters. Conclusions are drawn from this extensive series of analyses and modeling leading to specific recommendations concerning such toolbox development and parallel implementation.