Question

While using the Picard iteration, how is the source term decomposed?

(a) qΦ=b0+b1 Φ

(b) qΦ=b0 Φ+b1 Φ^2

(c) qΦ=b0 Φ

(d) qΦ=b0+b1 Φ^2

I have been asked this question in an interview.

This intriguing question comes from Numerical Methods topic in section Numerical Methods of Computational Fluid Dynamics

Answer 1

The correct option is (a) qΦ=b0+b1 Φ

Best explanation: Picard iteration is used with the source term to decompose and linearize it. It decomposes to qΦ=b0+b1 Φ. The term b0 is absorbed by the RHS of the system. The term b1 Φ is added to the coefficient matrix.