Analysis of stability and accuracy of finite-difference schemes on a skewed mesh

Journal of Computational Physics

Volumn 213, Issue 1, 2006, Pages 184-204

  You, Donghyun ^a   Mittal, Rajat ^b   Wang, Meng ^a   Moin, Parviz ^a  

^a STANFORD UNIVERSITY   (United States)

^b George Washington University   (United States)

Author keywords

Advection diffusion equation; Finite difference scheme; Mesh skewness; Numerical accuracy; Numerical stability

Indexed keywords

ADVECTION; CONVERGENCE OF NUMERICAL METHODS; ERROR ANALYSIS; FINITE DIFFERENCE METHOD; PARTIAL DIFFERENTIAL EQUATIONS; QUALITY CONTROL; STABILITY;

ADVECTION-DIFFUSION EQUATION; ANALYSIS OF STABILITY; CARTESIAN COORDINATE SYSTEM; CURRENT ANALYSIS; FINITE DIFFERENCE SCHEME; MESH DESIGNS; MESH SKEWNESS; NON-UNIFORM MESH; NUMERICAL ACCURACY; SOLUTION METHODS;

MESH GENERATION;

EID: 31744445412     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2005.08.007     Document Type: Article

References (21)

1. D. You, R. Mittal, M. Wang, P. Moin, Large-eddy simulation of a rotor tip-clearance flow, AIAA Paper 2002-0981, 2002.
2. R. Mittal, S. Venkatasubramanian, F.M. Najjar, Large eddy simulation of flow through a low-pressure turbine, AIAA Paper 2001-2560, 2001.
3. M. Wang P. Moin Computation of trailing-edge flow and noise using large-eddy simulation AIAA Journal 38 2000 2201-2209
4. C. Hah A numerical modeling of endwall and tip-clearance flow of an isolated compressor rotor Journal of Engineering for Gas Turbines and Power 108 1986 15-21
5. S.E. Gorrell T.H. Okiishi W.W. Copenhaver Stator-rotor interactions in a transonic compressor - part 2: Description of a loss-producing mechanism Journal of Turbomachinery 125 2003 336-345
6. T.H. Fransson M. Jöcker A. Böles P. Ott Viscous and inviscid linear/nonlinear calculations versus quasi-three-dimensional experimental cascade data for a new aeroelastic turbine standard configuration Journal of Turbomachinery 121 1999 717-725
7. J.F. Thompson Z.U.A. Warsi C.W. Mastin Numerical Grid Generation: Foundation and Applications 1985 North-Holland Amsterdam
8. D. Lee Y.M. Tsuei A formula for estimation of truncation errors of convection terms in a curvilinear coordinate system Journal of Computational Physics 98 1992 90-100
9. S. Sankaranarayanan M.L. Spaulding A study of the effects of grid non-orthogonality on the solution of shallow water equations in boundary-fitted coordinate systems Journal of Computational Physics 184 2003 299-320
10. H. Shi J.L. Drewniak Dispersion comparison for DSI- and tensor-based nonorthogonal FDTD IEEE Microwave and Guided Wave Letters 6 5 1996 193-195
11. F. Xiao H. Yabe Numerical dispersion relation for FDTD method in general curvilinear coordinates IEEE Microwave and Guided Wave Letters 7 2 1997 48-50
12. A.B. Cain, R.H. Bush, Numerical wave propagation analysis for stretched grids, AIAA Paper 94-0172, January, 1994.
13. P.M. Gresho R.L. Lee Don't suppress wiggles - they're telling you something Computers and Fluids 9 1981 223-253
14. X. Wu P.A. Durbin Evidence of longitudinal vortices evolved from distorted wakes in a turbine passage Journal of Fluid Mechanics 446 2001 199-228
15. V. Armenio U. Piomelli A Lagrangian mixed subgrid-scale model in generalized coordinates Flow, Turbulence and Combustion 65 2000 51-81
16. C.A.J. Fletcher second ed. Computational Techniques for Fluid Dynamics: Fundamentals and General Techniques vol. 1 1991 Springer Berlin
17. P. Moin Fundamentals of Engineering Numerical Analysis 2001 Cambridge University Press Cambridge
18. O.V. Vasilyev High order finite difference schemes on non-uniform meshes with good conservation properties Journal of Computational Physics 157 2000 746-761
19. R.W.C.P. Verstappen A.E.P. Veldman Spectro-consistent discretization of Navier-Stokes: A challege to RANS and LES Journal of Engineering Mathematics 34 1998 163-179
20. R.W.C.P. Verstappen A.E.P. Veldman Direct numerical simulation of turbulence at lower costs Journal of Engineering Mathematics 32 1997 143-159
21. A.E.P. Veldman K. Rinzema Playing with nonuniform grids Journal of Engineering Mathematics 26 1992 119-130