AN IMPLICIT METHOD FOR WATER-FLOW MODELING IN CHANNELS AND PIPES

An implicit time integration method for the simulation of steady and u nsteady flow in pipes and channels is presented. It is based on the th eory of Total Variation Diminishing (TVD) methods. A conservative line arization leads to a block tridiagonal system of equations which can b e cheaply solved by means of a non-iterative matrix decomposition meth od. It keeps the advantages of classical implicit schemes, and properl y deals with all kinds of flow. It is specially suited for steady flow s including phenomena such as hydraulic jumps and also gives satisfact ory results for time dependent problems. Several test cases are shown to illustrate the performance of this implicit technique in single cha nnels and networks.