Stability of the dual Navier-Stokes equations and efficient computation of mean output in turbulent flow using adaptive DNS/LES

Computer Methods in Applied Mechanics and Engineering

Volumn 195, Issue 13-16, 2006, Pages 1709-1721

  Hoffman, Johan ^a   Johnson, Claes ^a  

^a CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

A posteriori error estimate; Adaptive DNS LES; Adaptive finite element method; Duality; Turbulent incompressible flow

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; COMPUTER SIMULATION; ERROR ANALYSIS; FINITE ELEMENT METHOD; INCOMPRESSIBLE FLOW; NAVIER STOKES EQUATIONS; TURBULENT FLOW;

A POSTERIORI ERROR ESTIMATE; ADAPTIVE DIRECT NUMERICAL SIMULATION (DNS); ADAPTIVE FINITE ELEMENT METHOD; ADAPTIVE LARGE EDDY SIMULATION (LES); DUALITY; TURBULENT INCOMPRESSIBLE FLOW;

COMPUTATIONAL FLUID DYNAMICS;

ADAPTIVE CONTROL SYSTEMS; COMPUTATIONAL FLUID DYNAMICS; COMPUTER SIMULATION; ERROR ANALYSIS; FINITE ELEMENT METHOD; INCOMPRESSIBLE FLOW; NAVIER STOKES EQUATIONS; TURBULENT FLOW;

EID: 30944443081     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2005.05.034     Document Type: Article

References (14)

1. R. Becker R. Rannacher A feed-back approach to error control in adaptive finite element methods: Basic analysis and examples East-West J. Numer. Math. 4 1996 237-264
2. R. Becker R. Rannacher A posteriori error estimation in finite element methods Acta Numer. 10 2001 1-103
3. K. Eriksson D. Estep P. Hansbo C. Johnson Introduction to adaptive methods for differential equations Acta Numer. 4 1995 105-158
4. M. Giles, M. Larson, M. Levenstam, E. Suli, Adaptive error control for finite element approximations of the lift and drag coefficients in viscous flow. Technical Report NA-76/06, Oxford University Computing Laboratory, 1997.
5. M. Giles E. Siili Adjoint methods for PDES: A posteriori error analysis and postprocessing by duality Acta Numer. 11 2002 145-236
6. J. Hoffman On duality based a posteriori error estimation in various norms and linear functional for les SIAM J. Sci. Comput. 26 1 2004 178-195
7. J. Hoffman, Computation of mean drag for bluff body problems using adaptive DNS/LES., SIAM J. Sci. Comput., in press.
8. J. Hoffman, Computation of functional in 3d incompressible flow for stationary benchmark problems using adaptive finite element methods, Courant Mathematics and Computing Laboratory DOE Technical Report 03-003, New York University, 2003.
9. J. Hoffman C. Johnson Adaptive finite element methods for incompressible fluid flow in: T.J. Barth H. Deconinck (Eds) Error Estimation and Solution Adaptive Discretization in Computational Fluid Dynamics Lecture Notes in Computational Science and Engineering 2002 Springer-Verlag Publishing Heidelberg
10. J. Hoffman C. Johnson Computability and Adaptivity in CFD in: E. Stein R. de Borst T.J.R. Hughes (Eds) Encyclopedia of Computational Mechanics 2004 John Wiley and Sons
11. J. Hoffman C. Johnson Applied Mathematics Body and Soul Fluid Dynamics A: Incompressible Flow vol. 5 2005 Springer-Verlag Publishing
12. J. Hoffman, C. Johnson, A new approach to computational turbulence modeling, Comput. Methods Appl. Mech. Engrg, in press, doi:10.1016/ j.cma.2004.09.015.
13. C. Johnson Adaptive Finite Element Methods for Conservation Laws in: Advanced Numerical Approximation of Nonlinear Hyperbolic Equations Springer Lecture Notes in Mathematics 1998 Springer-Verlag 269-323
14. P. Sagaut Large Eddy Simulation for Incompressible Flows 2001 Springer-Verlag Berlin, Heidelberg, New York