Question

Finite volume can produce second order accurate by providing a linear reconstruction within the cell

Answer 1

A MUSCL-like cell-centered finite volume method is proposed to approximate the solution of multi-dimensional steady advection–diffusion equations. The second-order accuracy is provided by an appropriate definition of the diffusive and advective numerical fluxes. The method is based on a least squares reconstruction of the vertex values from cell averages. 

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Answer 2

Answer:

The accuracy obtained is of second order as inferred from the finite-difference central difference scheme. Discussion: The purpose of this example is to demonstrate the use of the finite-volume …