Development of an Efficient Solution Scheme for Incompressible Steady- State Flow
Abstract
This study advances the understanding of numerical simulation of steady-state, incompressible flows through development of a new solution method for two dimensional Navier-Stokes equations. It presents details of a numerical scheme formulated specifically to simulate flows generally observed in the approaches to hydraulic structures. An explicit predictor-corrector finite volume relaxation scheme is coupled with pseudo-compressibility method to integrate the governing equations of motion and continuity. Use of the pseudo- compressibility concept negates the need for solving a Poisson equation relating the pressure and flux fields. Results from the simulations of four model case studies show the efficacy of the relaxation scheme. To accelerate the convergence of the basic relaxation scheme, a multigrid algorithm is coupled with the predictor-corrector. Results from additional simulation of the four model case studies conclusively show the validity and attractiveness of employing the multigrid approach in simulating incompressible, steady-state flows. The flow fields numerically generated through inclusion of the multigrid algorithm are just as accurate as those computed with the basic relaxation scheme alone. The model test case results obtained with the multigrid algorithm are also generally from 3 to 12 times more efficient in reaching a predefined convergence tolerance than their relaxation scheme-only counterparts based on computer resource usage. The optimal multigrid setup was that which uses maximum number of total grids allowable given the resolution on the finest grid.
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1989
- Accession Number
- ADA207726
Entities
People
- Jeffrey P. Holland