Question

A flow property Φ is bounded when ___________

(a) the value of flow properties at a node is bounded by its boundary values

(b) the error is bounded

(c) the numerical solution approaches the exact solution

(d) the solution does not change with further iterations

This question was posed to me in an international level competition.

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

Answer 1

The correct choice is (a) the value of flow properties at a node is bounded by its boundary values

For explanation: The flow property is said to be bounded if the internal nodal values of the flow property do not cross the minimum and maximum values of the flow properties in the boundaries. Physically the flow properties will not go beyond the boundary values. This should be guaranteed by the numerical approximations also.