Question

Which of these terms is added to the source term of the momentum equations of the transient PISO algorithm?

(a) product of the latest central coefficient and latest velocity

(b) product of the current central coefficient and previous velocity

(c) product of the previous central coefficient and previous velocity

(d) product of the initial central coefficient and current velocity

This question was posed to me in final exam.

I'm obligated to ask this question of Transient SIMPLE and PISO Algorithms topic in section Transient Flows of Computational Fluid Dynamics

Answer 1

The correct option is (c) product of the previous central coefficient and previous velocity

To explain: To the source term of the u-momentum equation, the term \(a_P^0 \, u_P^0\) is added. Where, \(a_P^0\) is the initial central coefficient and \(u_P^0\) is the initial velocity in u-direction. A similar term is added to the sources of the other momentum equations also.