Finite Analytic Method and its Applications. Laminar and Turbulent Flows Past TwoDimensional and Axisymmetric Bodies. Volume 1

摘要

A numerical study of laminar and turbulent flows past two dimensional bodies andaxisymmetric bodies is presented. Numerical methods are developed to solve Navier-Stokes equations for two dimensional and axisymmetric flows in the arbitrary geometries. The complex physical geometry is resolved by use of numerically generated, body-fitted coordinates. The governing equations are written in the transformed domain using the orthogonal velocity components as dependent variable for momentum equations. The governing equations are discretized using both the finite analytic method and the finite volume method. Both one velocity staggered grid method and two velocities staggered method are employed for grid arrangements. The velocity and pressure coupling techniques in these grid arrangements are presented. The solution procedure of the SIMPLER numerical algorithm is used with a parabolic marching technique and a global pressure calculation method. For turbulent flow calculations, both the k-epsilon turbulence model and the two-layer turbulence model are used. (KR)