Computational Methods in Fluid Dynamics.

Abstract

In this paper, the implicit finite difference schemes for solving two dimensional Navier-Stokes equations has been demonstrated. Different methods such as matrix reduction, diagonalization and flux split scheme are also introduced in the paper. The method used ensured that the methods are either time accurate or accelerated non-time accurate steady state schemes. Some examples for viscous calculation in this presentation were also given. The numerical algorithm for this presentation is treated as implicit time differencing and local time linerarizations. The author has also generalized the curvilinear coordinate transformation system into metric relations and invariants of the transformation in this paper.