Computation of turbulent flows with complex boundaries (Q1195239)

Numerical simulations of steady, incompressible turbulent flows with complex boundaries are presented. The complex boundary geometries are accurately repesented via a boundary-fitted orthogonal coordinate system generated by the solution of a set of elliptic partial differential equations. Thus, an irregular physical space can be mapped into a rectangular computational domain. The turbulent flow is described by time-averaging technique in which the \(k-\varepsilon\) two-equation- Boussinesq type-viscosity model is employed to represent the resulting turbulence quantities and Reynolds stresses \(\overline{u_ i u_ j}\). Numerical solution is then obtained by solving the transport equations in their physical-component forms derived through the coordinate transformation from Cartesian coordinates to the orthogonal ones. Solution algorithm employs finite-volume method with SIMPLE procedure to determine pressure field.