Question

For the solution of a system of discretized equations with consistent approximations to be consistent, which of these conditions is necessary?

(a) Boundedness

(b) Stability

(c) Convergence

(d) Accuracy

I had been asked this question during an interview.

I'd like to ask this question from Discretization Aspects topic in chapter Basic Aspects of Discretization, Grid Generation with Appropriate Transformation of Computational Fluid Dynamics

Answer 1

Correct option is (b) Stability

The best I can explain: Inconsistency problems arise when we truncate higher order terms. These approximations are consistent is the same order terms are truncated always. Though this condition is satisfied, it is a must for the system of equations to be stable to satisfy consistency.