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V. Dolejší A design of residual error estimates for a high order BDF-DGFE method applied to compressible flows International Journal for Numerical Methods in Fluids 73

Article first published online: 27 MAY 2013 | DOI: 10.1002/fld.3811

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We develop an efficient and accurate numerical method for the solution of the non-stationary compressible Navier–Stokes equations. We derive residual error estimates that are able to identify the spatial, temporal and algebraic errors and therefore and moreover we define an algorithm, which is able to balance these errors. The figure showing a viscous shock–vortex interaction demonstrate the applicability of the method.

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