Simulation of Water Advancing over Dry Bed Using Lagrangian Blocks on Eulerian Mesh

Abstract

Lagrangian Blocks on Eulerian Mesh (LBEM) simulations of water advancing over dry bed are conducted using blocks as the computational elements. The non-negative nature of the blocks have allowed the LBEM simulation to be carried out without the oscillation problem that has limited the applicability of many existing computational schemes. At the leading edge of the water, the velocity is maximum and friction is the dominant effect. The simulation for the dominant friction effect at the wave front is carried out for the release of water from (i) dam-break outflow, (ii) levee overflow, and (iii) sump overflow. Despite the geometric difference, all three flows have the maximum velocity at the wave front following identical asymptotic trend at large time.