Question

A system is said to be stable if _________

(a) the results for different boundary and initial conditions are different

(b) the results for different boundary and initial conditions are the same

(c) the system can be solved for different initial and boundary conditions

(d) the result of two consequent iterations are the same

I got this question in class test.

This interesting question is from Discretization Aspects topic in portion Basic Aspects of Discretization, Grid Generation with Appropriate Transformation of Computational Fluid Dynamics

Answer 1

The correct choice is (c) the system can be solved for different initial and boundary conditions

The explanation: A stable system of algebraic equation means that the system can be solved for different boundary conditions and initial conditions to get the flow properties. While varying the boundary conditions, the system should not become unsolvable.