Introduction to Computational Fluid Dynamics

Appendix A: Glossary

A.I GLOSSARY

1. Amplification factor: In von Neumann stability analysis (or Fourier stability analysis) the effect of a small error on the scheme is studied by decomposing the error in Fourier modes and is measured by the ratio of a typical mode in two consecutive time steps.(see section 2.4).
2. Approximate factorization: When an implicit scheme is decomposed into factors it is known as approximate factorization.
3. Boundary condition: Condition that holds on the boundary of the physical domain for all time.
4. Cauchy problem: It is an initial value problem for a hyperbolic type partial differential equation in which continuous functions are prescribed for the value of the unknown and its first derivative on the initial line.