The advantages of using high-order finite differences schemes in laminar-turbulent transition studies

International Journal for Numerical Methods in Fluids

Volumn 48, Issue 5, 2005, Pages 565-582

  Souza, Le Fraso ^a   Mendonca M T ^b   Medeiros, M A F ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

^b INSTITUTO DE ESTUDOS AVANÇADOS   (Brazil)

Author keywords

Compact difference schemes; High order finite differences; Hydrodynamic instability; Vorticity velocity formulation

Indexed keywords

COMPUTER SIMULATION; HYDRODYNAMICS; INCOMPRESSIBLE FLOW; LAMINAR FLOW; RUNGE KUTTA METHODS; TURBULENT FLOW; TWO DIMENSIONAL;

FLOW FIELDS; INSTABILITY WAVES; POISEUILLE FLOW; SPACE DISCRETIZATION;

FINITE DIFFERENCE METHOD;

FINITE DIFFERENCE TECHNIQUE;

EID: 19944385302     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.955     Document Type: Article

References (20)

1. Davies C, Carpenter P. A novel velocity-vorticity formulation of the Navier-Stokes equations with applications to boundary layer disturbance evolution. Journal of Computational Physics 2001; 172 :119-165.
2. Joslin RD. Overview of laminar flow control. Technical Report NASA TP-1998-209705, National Aeronautics and Space Administration - NASA, 1998.
3. Joslin RD. Aircraft laminar flow control. Annual Review of Fluid Mechanics 1998; 30: 1-29.
4. Biringen S, Laurien E. Nonlinear structures of transition in wall-bounded flows. Applied Numerical Mathematics 1991; 7 :129-150.
5. Gmelin C, Rist U, Wagner S. Active control of laminar-turbulent transition using instantaneous vorticity signals at the wall. Physics of Fluids 2001; 13(2):513-519.
6. Laurien E, Kleiser L. Numerical simulation of boundary-layer transition and transition control. Journal of Fluid Mechanics 1989; 199 :403-440.
7. Spalart PR. Direct numerical study of crossflow instability. The IUTAM 90 Symposium on Laminar-Turbulent Transition, Toulouse, France, 1989.
8. Zang TA, Krist SE, Hussaini MY. Resolution requirements for numerical simulations of transition. Journal of Scientific Computing 1989; 4:197-217.
9. Lele S. Compact finite difference schemes with spectral-like resolution. Journal of Computational Physics 1992; 103:16-42.
10. Mahesh K. A family of high order finite difference schemes with good spectral resolution. Journal of Computational Physics 1998; 145 : 332-358.
11. Hirsh RS. High order accurate difference solutions of fluid mechanics problems by a compact difference technique. Journal of Computational Physics 1975; 19:90-109.
12. Adam Y. Highly accurate compact methods and boundary conditions. Journal of Computational Physics 1977; 24: 10-22.
13. Kloker M. A robust high-resolution split-type compact FD scheme for spatial direct numerical simulation of boundary-layer transition. Applied Scientific Research 1998; 59:353-377.
14. Messing R, Kloker M, Wagner S. Effect of suction through arrays of holes on a 3-d boundary layer investigated by spatial direct numerical simulation. The IUTAM 99 Symposium on Laminar-Turbulent Transition , Arizona, U.S.A., 1999.
15. Wassermann P, Kloker M. Direct numerical simulation of the development and control of boundary-layer crossflow vortices. In New Results in Numerical and Experimental Fluid Dynamics, Nilsche W, Hilbig R (eds). Berlin, 1998.
16. Wassermann P, Kloker M. Mechanisms and passive control of crossflow-vortex-induced transition in a 3-d boundary layer. Journal of Fluid Mechanics 2002; 456:49-84.
17. Zhang H, Fasel H. Spatial direct numerical simulation of Görtler vortices. AIAA Fluid Dynamics Conference, Norfolk, U.S.A., 1999.
18. Ferziger JH, Peric M. Computational Methods for Fluid Dynamics. Springer: Berlin, 1997.
19. Fasel H. Untersuchungen zum Problem des Grenzschichtumschlages Dutch Numerische Integration der Navier-Stokes-Gleichungen. Dissertation, Universität Stuttgart, 1974.
20. Drazin PG, Reid WH. Hydrodynamic Stability. Cambridge University Press: Cambridge, 1981.