Weak Local Residuals as Smoothness Indicators in Adaptive Mesh Methods for Shallow Water Flows

摘要: This paper proposes some formulations of weak local residuals shallow-water-type equations, namely, one-, one-and-a-half-, and two-dimensional shallow water equations. Smooth parts numerical solutions have small absolute values residuals. Rougher larger behaviour enables the to detect which are smooth rough (non-smooth). Weak that we formulate implemented successfully as refinement or coarsening indicators for adaptive mesh finite volume methods used solve