NUMERICAL SIMULATION OF THREE-DIMENSIONAL TURBULENT FLOW NEAR BODY SURFACE WITH LONGITUDINAL VORTICES

A calculating model of generalized partially-parabolic approximation is adopted in the research of numericalsimulation of 3-D turbulent flow near body surface with longitudinal vortices in this paper. An analytical solutionfor Poisson equation is presented to generate the 3-D body-fitted coordinate system. The finite analytic method,which introduces ’virtual’ lime variable, is used calculating examples. The partially-parabolic approximation ismade in the transformed equations. Compared with that made in the physical domain, it allows the equations to re-tain more terms. In ’zero’ equation turbulence model, longitudinal eddy-viscosity and transverse eddy-viscosityare determined by using empiric formulae appropriate to inner layer and outer layer respectively. Of three examplecalculations, the results of turbulent flow past a flat plate with longitudinal vortices are compared with that ofavailable experimental data. The comparison is found to be satisfactory. The results of the others——turbulentflow along a long cylinder and that past an ellipsoid with longitudinal vortices, are qualitatively reasonable.