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Weak uniqueness of the navier-stokes equations and adaptive turbulence simulation
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.ORCID iD: 0000-0003-4256-0463
2005 (English)Conference paper (Refereed)
Abstract [en]

We consider the problem of computational simulation of turbulence, where we study turbulent solutions to the incompressible Navier- Stokes equations. We construct approximate weak solutions using a stabilized Galerkin finite element method, here referred to as General Galerkin G2, for which we investigate uniqueness in output (or weak uniqueness ) by solving an associated dual problem computationally, with data coupling to the particular output we are interested in. For simulation of turbulent flow we refer to the adaptive version of G2 as Adaptive DNS/LES, with part of the flow being resolved in a Direct Numerical Simulation DNS, and part of the flow being left unresolved in a Large Eddy Simulation LES , with the stabilization in G2 acting as a dissipative subgrid model. We present computational results using Adaptive DNS/LES, where we find that for the problem of simulating the turbulent flow past various bluff bodies we are able to compute mean value output, such as drag, using  10-100 times less degrees of freedom than in typical LES computations using ad hoc mesh refinement. We further use Adaptive DNS/LES to simulate the turbulent flow past a cylinder rolling along ground.

Place, publisher, year, edition, pages
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Computer and Information Science
URN: urn:nbn:se:kth:diva-58723OAI: diva2:473849
Leslie Fox Prize Meeting, University of Dundee
Navier-Stokes equations, weak uniqueness, General Galerkin G2, finite element method, a posteriori error estimate, duality, Adaptive DNS/LES
QC 20120116Available from: 2012-01-08 Created: 2012-01-08 Last updated: 2012-01-16Bibliographically approved

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