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Which of these methods is usually conservative?

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in Computational Fluid Dynamics by (118k points)
Which of these methods is usually conservative?

(a) Finite Difference Method

(b) Finite Element Method

(c) Finite Volume Method

(d) Iterative Method

This question was posed to me during an interview.

My doubt is from Discretization Aspects topic in chapter Basic Aspects of Discretization, Grid Generation with Appropriate Transformation of Computational Fluid Dynamics

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Right choice is (c) Finite Volume Method

The explanation is: Conservativeness is defined for the discretization schemes only. Finite volume methods often guarantee conservation. They integrate the flow variables over each elemental domain. They ensure that flux leaving one domain is equal to that entering the neighbouring domain.

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