Quadratic interpolation results in conservation problems. Why?(a) Their physical problem is non-conservative(b) They involve quadratic equations(c) They are higher order schemes(d) Interpolation curves vary at the faceThis question was posed to me in an interview.This is a very interesting question from Discretization Aspects topic in division Basic Aspects of Discretization, Grid Generation with Appropriate Transformation of Computational Fluid Dynamics

Quadratic interpolation results in conservation problems. Why?(a) Thei

1.	Quadratic interpolation results in conservation problems. Why?(a) Their physical problem is non-conservative(b) They involve quadratic equations(c) They are higher order schemes(d) Interpolation curves vary at the faceThis question was posed to me in an interview.This is a very interesting question from Discretization Aspects topic in division Basic Aspects of Discretization, Grid Generation with Appropriate Transformation of Computational Fluid Dynamics
Answer» The correct choice is (d) Interpolation curves vary at the face Best explanation: Quadratic interpolation MODELS the physical PROBLEMS using quadratic equations. At the intersection faces, we get two different quadratic equations and their VALUES do not cancel out there. This gives a problem to conservation in the Quadratic interpolation SCHEMES.

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