Question

For which of these problems, the error will be bounded if the system is stable?

(a) Transient problems

(b) Subsonic problems

(c) Supersonic problems

(d) Inviscid problems

I had been asked this question in quiz.

The above asked question is from Discretization Aspects in portion Basic Aspects of Discretization, Grid Generation with Appropriate Transformation of Computational Fluid Dynamics

Answer 1

The correct option is (a) Transient problems

The best explanation: For transient problems, a stable system keeps the error bounded when time increases. Stability for a transient problem has special characteristics. Here, stability guarantees that the method gives a bounded solution if the exact solution is bounded.