Before revision: This note introduces a simple metric for benchmarking shock-capturing schemes , and this metric is especially focusing on the shock-capturing overshoots, which may damage the robustness of numerical simulations, as well as the reliability of numerical results.
After revision: This note introduces a simple metric for benchmarking shock-capturing schemes , and this metric is especially focusing on the shock-capturing overshoots, which may undermine the robustness of numerical simulations, as well as the reliability of numerical results.