Subgrid modeling for convection-diffusion-reaction in two space dimensions using a haar multiresolution analysis

Mathematical Models and Methods in Applied Sciences

Volumn 13, Issue 10, 2003, Pages 1515-1536

  Hoffman, Johan ^a  

^a NEW YORK UNIVERSITY   (United States)

Author keywords

Convection diffusion reaction; Dynamic subgrid modeling; Haar multiresolution analysis; Scale extrapolation

Indexed keywords

EID: 0344063686     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021820250300301X     Document Type: Article

References (16)

1. R. Becker and R. Rannacher, A posteriori error estimation infinite element methods, Acta Numer. 10 (2001) 1-103.
2. I. Daubechies, Ten Lectures on Wavelets (SIAM, 1992).
3. K. Eriksson, D. Estep, P. Hansbo and C. Johnson, Introduction to adaptive method for differential equations, Acta Numer. 4 (1995) 105-158.
4. _, Computational Differential Equations (Studentlitteratur/Cambridge Univ. Press, 1996).
5. T. Gatski, M. Y. Hussaini and J. Lumley, Simulation and Modeling of Turbulent Flow (Oxford Univ. Press, 1996).
6. M. Germano, U. Poimelli, P. Moin and W. Cabot, A dynamic subgrid scale eddy-viscosity model, Phys. Fluids A3 (1991) 1760.
7. J. Huffman, Dynamic subgrid modeling for time dependent convection-diffusion-reaction equations with fractal solutions, Int. J. Numer. Methods Fluids 40 (2001) 583-592.
8. _, Adaptive finite element methods for less: Duality based a posteriori error estimation in various norms and linear functionals, submitted to SIAM J. Sci. Comput. (2002).
9. _, Computation of functionals in 3d incompressible flow for stationary benchmark problems using adaptive finite element methods, submitted to Math. Models Methods Appl. Sci. (2003).
10. J. Huffman and C. Johnson, Computability and adaptivity in CFD, in Encyclopedia of Computational Mechanics, eds. E. Stein, R. de Borst and T. J. R. Hughes (John Wiley and Sons, 2003).
11. J. Huffman, C. Johnson and S. Bertoluzza, Subgrid modeling for convection-diffusion-reaction in 1 space dimension using a haar multiresolution analysis, to appear in Comput. Methods Appl. Mech. Eng. (2003).
12. A. K. Louis, P. Maass and A. Rieder, Wavelets, Theory and Application (John Wiley & Sons, 1997).
13. S. Mallat, "Multiresolution approximation and wavelets", Technical report, GRASP Lab, Department of Computer and Information Science, University of Pennsylvania.
14. Y. Meyer, Ondelettes sur l'intervalle, Rev. Mat. Iber. 7 (1991) 115-133.
15. G. Papanicolau and K. Solna, Wavelet based estimation of local Kolmogorov turbulence, in Long-range Dependence Theory and Applications (Birkháuser, 2001).
16. P. Sagaut, Large Eddy Simulation for Incompressible Flows (Springer-Verlag, 2001).