Question

The Sweby’s diagram is drawn in __________ plane.

(a) (Ψ,r)

(b) (Ψ,\(\tilde{\phi_c}\))

(c) (Ψ,\(\tilde{\phi_f}\))

(d) (Ψ,\(\tilde{\phi_d}\))

I got this question in homework.

I need to ask this question from High Resolution Schemes in division High Resolution Schemes of Computational Fluid Dynamics

Answer 1

Correct answer is (a) (Ψ,r)

Explanation: A Sweby’s diagram is used to represent the TVD. This diagram is drawn with the flux limiter (Ψr) in the y-direction and the variable r in the x-direction. A high-resolution scheme should lie in a particular region of this diagram to be TVD and monotonic.