Orthogonal Coordinate Systems for Three-dimensional Boundary Layers


Book Description

The problem of choosing orthogonal, curvilinear, coordinate systems for use in boundary-layer calculations on arbitrary three-dimensional bodies is considered in some detail. A general method for the practical evaluation of the various geometrical properties of the coordinates occurring in the three-dimensional boundary-layer equations is described. A particular coordinate system which appears to be the most convenient one for ship hulls is then proposed and analyzed further.










Calculation of Three-dimensional Boundary Layers on Ship Forms


Book Description

An implicit finite difference technique, in curvilin ear-orthogonal surface coordinates, has been developed for the solution of the differential equations of three-dimensional laminar and turbulent boundary layers on ship forms. For turbulent flow, a two-layer eddy-viscosity model has been employed as the closure model. The initial and boundary conditions required to solve the equations and the stability and accuracy of the numerical method are discussed at some length. Two mathematically-defined simple three-dimensional ship forms are studied in some detail. These are a tri-axial ellipsoid and a double elliptic ship.