Numerical solution of flows that are partially bounded by a freely moving boundary is of great importance in practical applications such as ship hydrodynamics. The usual method for solving steady viscous free-surface flow subject to gravitation is alternating time integration of the kinematic condit
A numerical investigation of 2d, steady free surface flows
β Scribed by G. D. Tzabiras
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 644 KB
- Volume
- 25
- Category
- Article
- ISSN
- 0271-2091
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β¦ Synopsis
Systematic tests have been performed to study the behaviour of a numerical method developed to calculate 2D, steady free surface Β―ows. The Reynolds equations are solved in the physical space by employing a nonorthogonal staggered grid, while the kΒ±e model is adopted to approximate the Reynolds stresses. The free surface is calculated following an iterative procedure and various parameters that affect convergence and accuracy of the numerical solution have been examined. Calculated results are compared with measured data for two cases, i.e. the wave generation above a bottom topography at various Froude numbers and the free surface formation above a submerged hydrofoil.
π SIMILAR VOLUMES
the liquid and is the surface tension. This choice of timescale makes the scaled surface tension equal to 1; i.e., the A system of partial differential equations that approximate the governing equations for inviscid free surface flow subject to surface Weber number is set to one. Henceforth, only th
## Abstract Numerical solution of flows that are partially bounded by a freely moving boundary is of great importance in practical applications such as ship hydrodynamics. Freeβboundary problems can be reformulated into optimal shape design problems, which can in principle be solved efficiently by
An algorithm to simulate steady, viscous free surface flows is presented in this paper. A Picard-type approach wherein the flow and free surface updates are performed alternately is utilized to iterate for a solution. The procedurr is intended for large-scale two-or three-dimensional problems. A sur