I often hear that cell centred finite volume is second order accurate but at the same time I come across notions of high order FVM flux schemes. Is there a distinction between the two? If I were to use something like a first order upwind referencing vs something like a third order MUSCL would that make my entire FVM scheme first or third order accurate?

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    $\begingroup$ You can’t really know until you’ve done the math or measured the convergence rate. You really need/ought to do both. $\endgroup$
    – Bill Barth
    Oct 17 at 17:43
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    $\begingroup$ Typically, the order of accuracy of your scheme is the lowest order of accuracy of discretisation schemes you use for different terms and stabilisation. For example, if you use an nth-order scheme (n>1) for viscous fluxes but use the first-order stabilisation scheme, then the overall accuracy is only first-order. $\endgroup$
    – Chenna K
    Oct 18 at 19:37

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