Metrics for Performance Quantification of Adaptive Mesh Refinement

Abstract Non-uniform, dynamically adaptive meshes are a useful tool for reducing computational complexities geophysical simulations that exhibit strongly localised features such as is the case tsunami, hurricane or typhoon prediction. Using example of shallow water solver, this study explores set metrics to distinguish performance numerical methods using adaptively refined versus uniform independent architecture implementation. These allow us quantify how simulation benefits from use mesh refinement. The type we focusing on triangular non-uniform and structured. Refinement controlled by physics-based indicators capture relevant physical processes determine areas refinement coarsening. proposed take into account number characteristics errors, spatial resolution, well computing time. test cases demonstrate correlating different quantities offers insight overhead, distribution error across various resolutions evolution run-time per degree freedom.