DEVELOPMENT OF NUMERICAL FORMULATION FOR QUASI-3D FLOW MODEL BY USING CIP-FVM ON TRIANGULAR MESH

Abstract

A new finite volume method has been presented to solve the quasi 3-D flow model on unstructured grid. In addition to the volume integrated average for each mesh cell, the point values defined on cell boundary are also treated as the model variables. The volume integrated average is updated by a finite volume formulation, while the point value is computed by a point-wise Riemann solver. The cell-wise local interpolation reconstruction is built based on both the moments, which results in a scheme of almost third order accuracy. We do a numerical test of channel flow in continuous bends and validate our numerical model by comparison with the observed data and the shallow water model. It is clear that the horizontal velocity profile both at the free-surface and at the bottom and the momentum transport for axis direction are reasonably predicted with the effect of secondary currents in the curved section of the channel.