Which of these statements is correct about the variable time-steps?(a) The finite volume and finite difference schemes do not yield equivalent algebraic equations(b) The finite volume scheme yields equivalent algebraic equations irrespective of the non-uniformity(c) The finite difference scheme yields equivalent algebraic equations irrespective of the non-uniformity(d) All the second-order schemes result in the same algebraic equation when the grid is non-uniformThe question was posed to me during an interview.My doubt is from Approaches for Non-uniform Time Steps in section Transient Flows of Computational Fluid Dynamics

Which of these statements is correct about the variable time-steps?(a)

1.	Which of these statements is correct about the variable time-steps?(a) The finite volume and finite difference schemes do not yield equivalent algebraic equations(b) The finite volume scheme yields equivalent algebraic equations irrespective of the non-uniformity(c) The finite difference scheme yields equivalent algebraic equations irrespective of the non-uniformity(d) All the second-order schemes result in the same algebraic equation when the grid is non-uniformThe question was posed to me during an interview.My doubt is from Approaches for Non-uniform Time Steps in section Transient Flows of Computational Fluid Dynamics
Answer» The CORRECT choice is (a) The finite volume and finite difference SCHEMES do not yield equivalent ALGEBRAIC EQUATIONS Best explanation: The finite volume and finite difference schemes yield equivalent algebraic equations when the transient grid is UNIFORM. If the grid is non-uniform, the algebraic equations are not the same.

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