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A Posteriori Finite-Element Output Bounds for the Incompressible Navier–Stokes Equations: Application to a Natural Convection Problem

✍ Scribed by L. Machiels; J. Peraire; A.T. Patera

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
278 KB
Volume
172
Category
Article
ISSN
0021-9991

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✦ Synopsis

We present a new Neumann subproblem a posteriori finite-element procedure for the efficient calculation of rigorous, constant-free, sharp lower and upper bounds for linear and nonlinear functional outputs of the incompressible Navier-Stokes equations. We first formulate the bound procedure; we derive and discuss a bound error expression; and we then demonstrate the capabilities of the method with numerical results obtained for natural convection problems. We also implement an optimal adaptive refinement strategy based on a local elemental decomposition of the bound gap.

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