Time-accurate intermediate boundary conditions for large eddy simulations based on projection methods

International Journal for Numerical Methods in Fluids

Volumn 48, Issue 8, 2005, Pages 869-908

  Denaro, F M ^a  

^a SECOND UNIVERSITY OF NAPLES   (Italy)

Author keywords

Fractional time step method; Intermediate boundary conditions; Large eddy simulation; Pressure free projection method

Indexed keywords

DECOMPOSITION; LAGRANGE MULTIPLIERS; LAMINAR FLOW; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; TURBULENCE;

EDDY SIMULATION TECHNIQUE; HELMHOLTZ-HODGE DECOMPOSITION; PROJECTION METHODS; THERMODYNAMIC STATE VARIABLES;

INCOMPRESSIBLE FLOW;

BOUNDARY CONDITIONS; INCOMPRESSIBLE FLOW; LARGE EDDY SIMULATION; NAVIER-STOKES EQUATIONS;

EID: 21544459307     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.965     Document Type: Article

References (32)

1. Sagaut P. Large Eddy Simulation for Incompressible Flows. An Introduction (2nd edn). Springer: Berlin, 2001.
2. Hodge WVD. The Theory and Application of Harmonic Integrals. Cambridge University Press: Cambridge, 1952.
3. Weil H. The method of orthogonal projection in potential theory. Duke Mathematical Journal 1940; 7:411-444.
4. Chorin AJ. Numerical solution of the Navier-Stokes equations. Mathematics of Computation 1968; 22:745-762.
5. Temam R. Sur L'approximation de la Solution des Équations de Navier-Stokes par la Méthode de Pas Fractionnaires (II). Archives for Rational Mechanics and Analysis 1969; 33:377-385.
6. Chorin AJ, Marsden JE. A Mathematical Introduction to Fluid Mechanics. Texts in Applied Mathematics, vol. 4. Springer: Berlin, 1990.
7. Kim J, Moin P. Application of a fractional-step method to incompressible Navier-Stokes equations. Journal of Computational Physics 1985; 59:308-323.
8. Brown DL, Cortez R, Minion ML. Accurate projection methods for the incompressible Navier Stokes equations. Journal of Computational Physics 2001; 168:464-499.
9. Striksverda JC, Lee YS. The accuracy of the fractional step method. SIAM Journal on Numerical Analysis 1999; 37(1):37-47.
10. Iannelli P, Denaro FM. Analysis of the local truncation error in the pressure-free projection method for the Navier-Stokes equations: a new accurate expression of the boundary conditions. International Journal for Numerical Methods in Fluids 2003; 42:399-437.
11. Denaro FM. On the application of the Helmholtz-Hodge decomposition in projection methods for the numerical solution of the incompressible Navier-Stokes equations with general boundary conditions. International Journal for Numerical Methods in Fluids 2003; 43:43-69.
12. Choi H, Moin P. Effects of the computational time steps on numerical solution of turbulent flows. Journal of Computational Physics 1994; 113:1-4.
13. Pruett CD, Gatski TB, Grosch CE, Thacker WD. The temporally filtered Navier-Stokes equations: properties of the residual stress. Physics of Fluids 2003; 15(8):2127-2140.
14. Chorin AJ. On the convergence of discrete approximations to the Navier-Stokes equations. Mathematics of Computation 1969; 23:341-353.
15. EW, Liu JG. Projection method I: convergence and numerical boundary layers. SIAM Journal on Numerical Analysis 1995; 32 (4):1017-1057.
16. EW, Liu JG. Projection method II: Godunov-Ryabenki analysis. SIAM Journal on Numerical Analysis 1996; 33(4):1597-1621.
17. Shen J. On error estimates of the projection methods for the Navier-Stokes equations: second-order schemes. Mathematics of Computation 1996; 65:1039-1065.
18. Wetton BR. Error analysis for Chorin's original projection method with regularization in space and time. SIAM Journal on Numerical Analysis 1997; 34:1683-1697.
19. Guermond JL. Un Résultat de Convergence d'Ordre Deux En Temps Pour L'Approximation Des Équations De Navier-Stokes Par Une Technique De Projection Incrémentale. Mathematical Modelling and Numerical Analysis 1999; 33(1):169-189.
20. Van Kan J. A second order accurate pressure correction scheme for three-dimensional incompressible flow. SIAM Journal on Scientific Computing 1986; 21(7):870-891.
21. Temam R. Navier-Stokes Equations and Nonlinear Functional Analysis (2nd edn), vol. 66. SIAM CBMS-NSF: Philadelphia, PA, 1995.
22. Ioveno M, Passoni G, Tordella D. A new large-eddy simulation near-wall treatment. Physics of Fluids 2004; 16:3935-3944.
23. Gustafsson B. The convergence rate for difference approximation to mixed initial boundary value problems. Mathematics of Computation 1975; 29:396-406.
24. LeVeque RJ. Intermediate boundary conditions for LOD, ADI and approximate factorization methods. ICASE Report No. 85-21, NASA Langley Research Center, Hampton, VA, 1985.
25. LeVeque RJ. Finite Volume Methods for Hyperbolic Problems. Cambridge Press: New York, 2002.
26. Liu M, Ren Y, Zhang H. A class of fully second order accurate projection methods for solving the incompressible Navier-Stokes equations. Journal of Computational Physics 2004; 200:325-346.
27. Iannelli P, Denaro FM, De Stefano G. A deconvolution-based fourth order finite volume method for incompressible flows on non-uniform grids. International Journal for Numerical Methods in Fluids 2003; 43:431-462.
28. Scotti A, Piomelli U. Numerical simulation of pulsating turbulent channel flow. Physics of Fluids 2001; 13:1367-1384.
29. Aprovitola A, Denaro FM. On the application of congruent upwind discretizations for large eddy simulations. Journal of Computational Physics 2004; 194(1):329-343.
30. Lund TS, Wu X, Squires KD. Generation of turbulent inflow data for spatially-developing boundary layer simulations. Journal of Computational Physics 1998; 140:233-258.
31. Li N, Balaras E, Piomelli U. Inflow conditions for large-eddy simulations of mixing layers. Physics of Fluids 2000; 12: 935-938.
32. Keating A, Piomelli U, Balaras E, Kaltenbach HJ. A priori and a posteriori tests of inflow conditions for large-eddy simulation. Physics of Fluids 2004; 16:4697-4712.