Question

In a two dimensional flow, how many terms does Simpson’s rule need to approximate a surface integral?

(a) four terms

(b) one term

(c) two terms

(d) three terms

Answer 1

Right choice is (d) three terms

For explanation: For a two-dimensional flow and the surface integral, the midpoint rule needs only one term (the value of the integrand at the face centre). The trapezoidal rule needs two terms (the value of the integrand at the nodes above and below the face centre). The Simpson’s rule needs three terms (the value of the integrand at the face centre and at the nodes above and below the face centre).