Hierarchical DWR Error Estimates for the Navier Stokes Equation: \(h\) and \(p\) Enrichment

Hierarchical DWR Error Estimates for the Navier Stokes Equation: \(h\) and \(p\) Enrichment

In this work, we further develop multigoal-oriented a posteriori error estimation for the nonlinear, stationary, incompressible Navier-Stokes equations. It is an extension of our previous work [B. Endtmayer, U. Langer, T. Wick: Two-side a posteriori error estimates for the DWR method, \(SISC\), 2019...

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Veröffentlicht in:arXiv.org 2019-12
Hauptverfasser: Endtmayer, B, Langer, U, Thiele, J P, Wick, T
Format: Artikel
Sprache:eng
Schlagworte:
Computational fluid dynamics
Errors
Fluid flow
Grid refinement (mathematics)
Navier-Stokes equations
Nonlinear equations
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Zusammenfassung:In this work, we further develop multigoal-oriented a posteriori error estimation for the nonlinear, stationary, incompressible Navier-Stokes equations. It is an extension of our previous work [B. Endtmayer, U. Langer, T. Wick: Two-side a posteriori error estimates for the DWR method, \(SISC\), 2019, accepted]. We now focus on \(h\) mesh refinement and \(p\) enrichment for the error estimator. These advancements are demonstrated with the help of a numerical example
ISSN:2331-8422