Introduction to Computational Fluid Dynamics

3

Equations of Parabolic Type

Finite difference and finite volume discretizations have been introduced in the previous chapter. In the present one and in the subsequent three chapters basic finite difference method have been explained using model parabolic, hyperbolic, elliptic and mixed elliptic–hyperbolic equations. These methods have been applied to fluid dynamic problems in the Chapters 9–13. The finite volume method have been applied to study numerical solution of inviscid and viscous compressible flow problems governed by Euler and Navier–Stokes equations in Chapters 10 and 13.

3.1 INTRODUCTION

As already pointed out in Chapter 1, the methods for solving problems governed by partial differential equations, together with appropriate boundary ...