Head Reconstruction Method to Balance Flux and Source Terms in Shallow Water Equations

摘要: This paper presents the head reconstruction method HRM, a new technique that can be used within finite volume framework to make shallow water models well balanced, i.e., correct imbalance exists between flux and source terms in equation discretization case of irregular bathymetry thus providing unphysical solutions. technique, based on considering, each computational cell, total flow sum elevation, pressure kinetic energies per unit weight fluid as an equilibrium variable, enables preservation dynamic equilibria under subcritical, transcritical, supercritical conditions. The is applied one-dimensional variation diminishing TVD MUSCL-Hancock scheme conservation property then proven mathematically for this static Furthermore, effectiveness HRM tested compared with two other balancing techniques considering elevation variable various steady studies. In end robustness simulation dam-break over bathymetry.