CIP Solution Method of Navier-Stokes Equation for Three-Dimensional, Generalized Curvilinear Coordinate System

摘要

To precisely solve the Navier-Stokes equation for arbitrary and complicated boundary geome- tries, a CIP (Cubic Interpolated Pseudo-particle) solution method adapted to three-dimensional, generalized curvilinear coordinate systems is presented. The governing equations are implemented in a transformed space only with the contravariant velocity components, and discretized with a staggered variable arrangement. By applying the method for solving the flows in a three-dimen- sional cavity space, around a circular cylinder started suddenly and in 180deg curved pipe, its computational accuracy is confirmed comparing with the numerial results using a pseudo spectral method, measured length of a twin vortex, measured velocity distributions and calculated results using the QUICK scheme, respectively.