1.

Approximate the surface integral ∫Snfd\(\vec{S}\) using the midpoint rule.(a) fnSn(b) Sn (fne+fnw)(c) \(\frac{S_n}{2}\) (fne+fnw)(d) \(\frac{S_n}{2}\) fnI have been asked this question in examination.Query is from Finite Volume Method topic in portion Finite Volume Methods of Computational Fluid Dynamics

Answer»

Correct choice is (a) fnSn

The explanation is: For surface INTEGRAL, the value of the integrand at the face centre is USED in the MIDPOINT approximation. The NEIGHBOURING values are not used. So,

∫Snfd\(\vec{S}\)=fnS



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