A double-layer formulation for 3D gravity currents is proposed in this paper. This formulation is obtained starting from the shallow water equations for two layers of immiscible liquids, with different densities and thicknesses, and then imposing the rigid-lid condition. As a consequence a non vanishing pressure ps arises on the free surface of the upper layer and must be determined by solving a Poisson equation, together with momentum and mass balance equations. By means of a perturbative expansion of the field variables, the formulation of the problem is suitably simplified. The comparisons between numerical and experimental results are encouraging and show that numerical results are consistent with the experiments.
LA ROCCA, M., Bateman Pinzon, A. (2010). A perturbative method for double-layer shallow water equations. In CMWR 2010 - XVIII International Conference on Computational Methods in Water Resources (pp.1-8). Barcelona : CIMNE.
A perturbative method for double-layer shallow water equations
LA ROCCA, MICHELE;
2010-01-01
Abstract
A double-layer formulation for 3D gravity currents is proposed in this paper. This formulation is obtained starting from the shallow water equations for two layers of immiscible liquids, with different densities and thicknesses, and then imposing the rigid-lid condition. As a consequence a non vanishing pressure ps arises on the free surface of the upper layer and must be determined by solving a Poisson equation, together with momentum and mass balance equations. By means of a perturbative expansion of the field variables, the formulation of the problem is suitably simplified. The comparisons between numerical and experimental results are encouraging and show that numerical results are consistent with the experiments.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
