A stochastic turbulence theory-based numerical model of 3-D flow in a dredged channel
A 3D numerical model is established based on the stochastic turbulence theory developed by Dou Guoren, which can simulate flow in dredged channels in coastal and estuarine areas. The governing equations are discretized using a controlvolume method and the pressure term is divided into dynamic and static terms. The solution procedure is based on the wellknown SIMPLE method, and the free surface level is obtained by solving the watersurface equation. The turbulence closure model used in this study is nonisotropic in terms of eddy viscosity and turbulence stress calculations, which is different from the k-e model and can include the k-e model as a special case. The numerical model is applied to several dredged channels and the predicted flow agrees well with experimental measurements.
This paper is concerned with the Free boundary problem for the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity. A local (in time) existence result is established when the initial density is of compact support and connects to the vacuum continuously. (C) 2002 Elsevier Science (USA).