Journals / Turkish Journal of Engineering and Environmental Sciences / 2007 / Cilt: 31 - Sayı: 5
Total Volume Conservation in Simulation of Unsteady Free-Surface~Flows
- Pages
- 311–321
- DOI
- —
Abstract
Free surface tracking methods used in the numerical simulation of unsteady free surface flows may introduce sources or sinks resulting in changes in total fluid volume in the computational domain. A computational model is developed for incompressible, 2-dimensional, unsteady free surface flows to investigate the conditions of total volume conservation. The model is based on finite volume discretization of the Navier-Stokes equations coupling momentum and mass conservation. Free surface position is tracked using a depth-integrated continuity equation. Possible free surface cell configurations and a solution procedure for continuity are described. A flux-corrected transport method is applied to the free surface solution to maintain numerical stability and eliminate unphysical surface oscillations. The discretization scheme and the computer code are validated in lid-driven cavity flow. Liquid sloshing in a partially filled rectangular tank and dam-break flows are simulated. Numerical solutions preserving total volume are presented. Computed free surface profiles are verified by experimental data.
Özet
Free surface tracking methods used in the numerical simulation of unsteady free surface flows may introduce sources or sinks resulting in changes in total fluid volume in the computational domain. A computational model is developed for incompressible, 2-dimensional, unsteady free surface flows to investigate the conditions of total volume conservation. The model is based on finite volume discretization of the Navier-Stokes equations coupling momentum and mass conservation. Free surface position is tracked using a depth-integrated continuity equation. Possible free surface cell configurations and a solution procedure for continuity are described. A flux-corrected transport method is applied to the free surface solution to maintain numerical stability and eliminate unphysical surface oscillations. The discretization scheme and the computer code are validated in lid-driven cavity flow. Liquid sloshing in a partially filled rectangular tank and dam-break flows are simulated. Numerical solutions preserving total volume are presented. Computed free surface profiles are verified by experimental data.