Applications in hydraulics of numerical solutions of the Navier-Stokes equations. (English) Zbl 0614.76063
Computational techniques for fluid flow, Recent Adv. Numer. Methods Fluids 5, 115-147 (1986).
[For the entire collection see Zbl 0591.00023.]
It has been shown in this paper how a rather comprehensive system for the computation of turbulent flow in two dimensions can be set up. The basic formulation, including the k-epsilon model for turbulence, is fairly standard. The numerical method, based on fractional steps in time and on boundary-fitted curvilinear coordinate systems, has turned out to be a flexible tool. A disadvantage remains in the dependence of steady-state results on the value of the time step.
The results have been shown to be reliable as compared with measured data. In some cases, the k-epsilon model gives much more realistic results than a quasi-laminar, constant-viscosity approach. The facility of computing depth-averaged flow was found to be very useful and it provides an overlap with the shallow-water models commonly used for tidal waves etc. Some more applications have been shown the versalitity of the ODYSSEE system, both as a research tool and in engineering applications.
It has been shown in this paper how a rather comprehensive system for the computation of turbulent flow in two dimensions can be set up. The basic formulation, including the k-epsilon model for turbulence, is fairly standard. The numerical method, based on fractional steps in time and on boundary-fitted curvilinear coordinate systems, has turned out to be a flexible tool. A disadvantage remains in the dependence of steady-state results on the value of the time step.
The results have been shown to be reliable as compared with measured data. In some cases, the k-epsilon model gives much more realistic results than a quasi-laminar, constant-viscosity approach. The facility of computing depth-averaged flow was found to be very useful and it provides an overlap with the shallow-water models commonly used for tidal waves etc. Some more applications have been shown the versalitity of the ODYSSEE system, both as a research tool and in engineering applications.
MSC:
76F99 | Turbulence |
76D05 | Navier-Stokes equations for incompressible viscous fluids |
86A05 | Hydrology, hydrography, oceanography |
76M99 | Basic methods in fluid mechanics |