Time integration schemes for the unsteady navier-stokes equations

15th AIAA Computational Fluid Dynamics Conference

Volumn , Issue , 2001, Pages

  Bijl, Hester ^a   Carpenter, Mark H ^b   Vatsa, Veer N ^b  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

^b NASA LANGLEY RESEARCH CENTER   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CIRCULAR CYLINDERS; COMPUTATIONAL FLUID DYNAMICS; EFFICIENCY; FITS AND TOLERANCES; INTEGRAL EQUATIONS; LAMINAR FLOW; RUNGE KUTTA METHODS; VISCOUS FLOW;

EFFICIENCY GAIN; FLOW AROUND A CIRCULAR CYLINDER; FOURTH ORDER RUNGE-KUTTA METHODS; FOURTH-ORDER RUNGE-KUTTA; RUNGE-KUTTA SCHEMES; SECOND ORDER BACKWARD DIFFERENCE FORMULAS; TIME-INTEGRATION SCHEME; TWO-DIMENSIONAL LAMINAR FLOW;

NAVIER STOKES EQUATIONS;

EID: 85086490140     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2001-2612     Document Type: Conference Paper

References (17)

1. K.J. Badcock, F. Cantariti, I. Hawkins, M. Woodgate, L. Dubuc and B.E. Richards, Simulation of unsteady turbulent flows around moving aerofoils using the pseudo-time method, Int. J. Num. Meth. Fl, 32: 585-604, 2000.
2. Baldwin and Lomax, Thin layer approximation and algebraic model for separated turbulent flows, A1AA Paper 78-257, 1978.
3. G. Bosch and W. Rodi, Simulation of vortex shedding past a square cylinder with different turbulence models, Int. J. Num Meth. FL, 28: 601-616, 1998.
4. R. Bouard and M. Coutanceau, The early stage of the wake behind an impulsively started cylinder for 40
5. J.R. Cox, K.S. Brentner and C.L Rumsey, Computation of vortex shedding and radiated sound for a circular cylinder: sub-critical to trans-critical Reynolds number, Theoret. Comp. Fluid Dynamics, 12:233-253, 1998.
6. E. Hairer and G. Wanner, Solving ordinary differential equations II: stiff and differentialalgebraic problems, Springer-Verlag, 1991.
7. C.A. Kennedy, M.H. Carpenter, and R.M. Lewis, Low-Storage, explicit Runge-Kutta Schemes for the compressible Navier-Stokes equations, Appl. Num. Math, Vol 35, (2000), pp. 177-219.
8. C.A. Kennedy and M.H. Carpenter, "Additive Runge-Kutta Schemes for Convection- Diffusion-Reaction Equations", Submitted to Appl. Num. Math.
9. L. Martinelli and A. Jameson, Validation of a multigrid method for the Reynolds averaged equations, AIAA Paper 88-0414, 1988.
10. Y.P Marx, Time integration for the unsteady incompressible Navier-Stokes equations, J. Comp. Phys., 112:182-209, 1994.
11. N.D. Melson, M.D. Sanetrik, H.L. Atkins, Time-accurate calculations with multigrid acceleration, in: N.D. Melson, T.A. Manteuffel, S.F. McCormick. (eds.), "Proceedings of the Sixth Copper Mountain conference on multigrid methods", 1993.
12. R. Mittal and S. Balachander, Effect of threedimensionality on the lift and drag of nominally two- dimensional cylinders, Phys. Fluids, 7:1841-1865, 1995.
13. A. Roshko, The flow past a circular cylinder at low speeds, NACA Report TN 2913, 1953.
14. P.R. Spalart and S.R. Allmaras, "A oneequation turbulence model for aerodynamic flows", AIAA Paper 92-439, Reno, NV.
15. R.C. Swanson and E. Turkel, A multistage time-stepping scheme for the Navier-Stokes equations, AIM Paper 85-0035, 1985.
16. Tang and N. Aubry, On the symmetry breaking instability leading to vortex shedding, Phys. Fluids,9: 2550-2561,1997.
17. V.N. Vatsa and B. W. Wedan, Development of a multigrid code for 3-d Navier-Stokes equations and its application to a grid-refinement study, Computers and Fluids. 18:391-403. 1990.