High order vorticity-velocity method for the simulation of pipe flow transition

Applied Numerical Mathematics

Volumn 33, Issue 1, 2000, Pages 105-111

  Reuter, Jörg ^a   Rempfer, Dietmar ^b  

^a UNIVERSITY OF STUTTGART   (Germany)

^b School of Operations Research and Industrial Engineering   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; FINITE DIFFERENCE METHOD; FLUID MECHANICS; INCOMPRESSIBLE FLOW; INTEGRATION; NAVIER STOKES EQUATIONS; PHASE TRANSITIONS; PIPE FLOW; RUNGE KUTTA METHODS; TRANSPORT PROPERTIES; VORTEX FLOW;

CYLINDRICAL COORDINATE SYSTEM; DE-ALIASED FOURIER PSEUDO SPECTRAL METHOD; HIGHER ORDER VORTICITY VELOCITY METHOD; INCOMPRESSIBILITY CONSTRAINT; INFLUENCE MATRIX TECHNIQUES; NONLINEAR SIMULATION; PIPE FLOW TRANSITION; STABILITY THEORY;

COMPUTER SIMULATION;

EID: 0034190340     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(99)00073-2     Document Type: Article

References (15)

1. O. Daube, Resolution of the 2D Navier-Stokes equations in velocity-vorticity form by means of an influence matrix technique, J. Comput. Phys. 103 (1992) 402-414.
2. A. Davey, H.P.F. Nguyen, Finite-amplitude stability of pipe flow, J. Fluid Mech. 45 (4) (1971) 701-720.
3. S. Eliahou, A. Tumin, I. Wygnanski, Laminar-turbulent transition in Poiseuille pipe flow subjected to periodic perturbation emanating from the wall, J. Fluid Mech. 361 (1998) 333-349.
4. J.H. Ferziger, Numerical Methods for Engineering Applications, Wiley, New York, Chichester, 1981.
5. D.S. Henningson, S.C. Reddy, On the role of linear mechanisms in transition to turbulence, Phys. Fluids 6 (1994) 1396-1398.
6. L.M. Huang, T.S. Chen, Stability of developing pipe flow subjected to non-axisymmetric disturbances, J. Fluid Mech. 63 (1) (1974) 183-193.
7. N. Itoh, Nonlinear stability of parallel flows with subcritical Reynolds numbers. Part 2. Stability of pipe Poiseuille flow to finite axisymmetric disturbances, J. Fluid Mech. 82 (3) (1977) 469-479.
8. J. Jeong, F. Hussain, On the identification of a vortex, J. Fluid Mech. 285 (1995) 69-94.
9. M.R. Khorrami, M.R. Malik, R.L. Ash, Application of spectral collocation techniques to the stability of swirling flows, J. Comput. Phys. 81 (1989) 206-229.
10. M. Kloker, U. Konzelmann, H. Fasel, Outflow boundary conditions for spatial Navier-Stokes simulations of transition boundary layers, AIAA J. (31) 4 (1993) 620-628.
11. S.K. Lele, Compact finite difference schemes with spectral-like resolution, J. Comput. Phys. 103 (1992) 16-42.
12. H. Salwen, F.W. Cotton, C.E. Grosch, Linear stability of Poiseuille flow in a circular pipe, J. Fluid Mech. 98 (2) (1980) 273-284.
13. A. Tumin, Receptivity of pipe Poiseuille flow, J. Fluid Mech. 315 (1996) 119-137.
14. R. Vichnevetsky, J.B. Bowles, Fourier Analysis of Numerical Approximations of Hyperbolic Equations, SIAM Studies in Applied Mathematics, Vol. 5, SIAM, Philadelphia, PA, 1982.
15. F. Waleffe, Hydrodynamic stability and turbulence: Beyond transients to a self-sustaining process, Stud. Appl. Math. 95 (1995) 319-343.