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RESIDUAL ERROR ESTIMATE FOR THE FINITE-VOLUME METHOD

In this article, a novel a-posteriori error estimate for the finite-volume method (FVM) measuring the absolute magnitude of the discretization error is presented. The residual error estimate is based on the cell residual, similar to the popular error estimates in the finite-element community. An appropriate normalization of the local residual creates the error estimate with the same dimensionality as the variable of interest, making it practical for engineering use. The error estimate is tested on a series of test cases and is shown to perform considerably better than the traditional Taylor series error estimates.