Error estimation using the error transport equation for finite-volume methods and arbitrary meshes

DOI10.1080/10618560600835934zbMath1184.76743OpenAlexW1969918234WikidataQ126257980 ScholiaQ126257980MaRDI QIDQ3551552

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Publication date: 15 April 2010

Published in: International Journal of Computational Fluid Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10618560600835934

zbMATH Keywords

Navier-Stokes equationserror estimationdiscretization errorerror equationfinite-volume unstructured grid

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Diffusion and convection (76R99)

Related Items

Towards higher order discretization error estimation by error transport using unstructured finite-volume methods for unsteady problems, Richardson extrapolation for linearly degenerate discontinuities, Prediction of discretization error using the error transport equation, Can adaptive grid refinement produce grid-independent solutions for incompressible flows?, A-posteriori error estimation for the finite point method with applications to compressible flow, Numerical error estimation for nonlinear hyperbolic PDEs via nonlinear error transport, A higher-order error estimation framework for finite-volume CFD, Relinearization of the error transport equations for arbitrarily high-order error estimates, Adaptive grid refinement for hydrodynamic flows, Adaptive finite-volume solution of complex turbulent flows, \(\Re\)-parameter: a local truncation error based adaptive framework for finite volume compressible flow solvers

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