Introduction to Computational Fluid Dynamics

Appendix D: Answers and Hints to Solutions

D.I CHAPTER 2

2.3(a) Let us establish the first formula (2.15).

By Taylor’s expansion about the point j, assuming u(x) to be sufficient number of times continuously differentiable, we have

the derivatives being evaluated at the point j.

2.3(d) By Taylor’s expansion

The result follows on simplification.

D.2 CHAPTER 3

3.3 Exact solution, obtained by separation of variables is

The values in the first ...