SUMMARYIn this paper, the characteristic based split scheme is employed for the solution of three-dimensional incompressible viscous ow problems on unstructured meshes. Many algorithm related issues are discussed. Fully explicit and semi-implicit forms of the scheme are explained and employed in the calculation of both isothermal and non-isothermal incompressible ows simulation. The extension of the scheme to porous medium ows is also demonstrated with relevant examples.

An Alternating Direction Implicit (ADI), Approximate Factorization (AF) scheme is presented here for the solution of the two-dimensional elliptic partial differential equations, with control functions as source terms, used for grid generation. This scheme requires significantly less computational effort than a Successive Over Relaxation (SOR) scheme. The dependence of the choice of the acceleration parameter on the rate of convergence of the AF scheme has been studied. As an example, grids generated by this method are shown, along with a comparison of the convergence history for the present AF and SOR schemes.

SUMMARYA kinetic flux-vector-splitting method has been used to solve the Euler equations for inviscid, compressible flow on unstructured grids. This method is derived from the Boltzmann equation and is an upwind, cellcentred, finite volume scheme with an explicit time-stepping procedure. The Delaunay triangulation has been used to generate the grids. The approach is demonstrated for three flow field simulations, namely the subsonic flow over a two-component high-lift aerofoil, the transonic flow over an aerofoil and the supersonic flow in a channel.