Question

Consistency should be ensured ___________

(a) at the interior nodes

(b) in the global domain

(c) at the boundary nodes

(d) at each node

The question was posed to me during an online interview.

My question is from Discretization Aspects in section Basic Aspects of Discretization, Grid Generation with Appropriate Transformation of Computational Fluid Dynamics

Answer 1

The correct answer is (d) at each node

To elaborate: The algebraic equations for the partial differential governing equations are formed at each node of the domain. For each of these algebraic equations, consistency should be defined. There is no exception for the boundary nodes or the interior nodes.