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Volumn 49, Issue 4, 2005, Pages 371-393

Effect of boundary vorticity discretization on explicit stream-function vorticity calculations

Author keywords

Finite differences; Navier Stokes; Stability; Vorticity boundary conditions

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; FINITE DIFFERENCE METHOD; FLUID MECHANICS; FLUID STRUCTURE INTERACTION; ITERATIVE METHODS; MATHEMATICAL MODELS; MATRIX ALGEBRA; NAVIER STOKES EQUATIONS; POISSON EQUATION; REYNOLDS NUMBER;

EID: 25444440353     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.1001     Document Type: Article
Times cited : (10)

References (30)
  • 2
    • 0001226553 scopus 로고
    • The flow past a circular cylinders at low speeds
    • Thom A. The flow past a circular cylinders at low speeds. Proceedings of the Royal Society of London 1933; A141:651-666.
    • (1933) Proceedings of the Royal Society of London , vol.A141 , pp. 651-666
    • Thom, A.1
  • 5
    • 0016004920 scopus 로고
    • Numerical simulation of viscous incompressible flows
    • Orszag S, Israeli M. Numerical simulation of viscous incompressible flows. Annual Review of Fluid Mechanics 1974; 6:281-318.
    • (1974) Annual Review of Fluid Mechanics , vol.6 , pp. 281-318
    • Orszag, S.1    Israeli, M.2
  • 6
    • 0006841592 scopus 로고
    • Some interesting issues in incompressible fluid dynamics, both in the continuum and in numerical simulation
    • Gresho P. Some interesting issues in incompressible fluid dynamics, both in the continuum and in numerical simulation. Advances in Applied Mechanics 1992; 28:45-140.
    • (1992) Advances in Applied Mechanics , vol.28 , pp. 45-140
    • Gresho, P.1
  • 7
    • 0026881063 scopus 로고
    • Convergence of a finite difference scheme for the Navier-Stokes equations using vorticity boundary conditions
    • Hou T, Wetton B. Convergence of a finite difference scheme for the Navier-Stokes equations using vorticity boundary conditions. SIAM Journal on Numerical Analysis 1992; 29:615-639.
    • (1992) SIAM Journal on Numerical Analysis , vol.29 , pp. 615-639
    • Hou, T.1    Wetton, B.2
  • 8
    • 0030171562 scopus 로고    scopus 로고
    • Essentially compact schemes for unsteady viscous incompressible flows
    • Weinan E, Liu J. Essentially compact schemes for unsteady viscous incompressible flows. Journal of Computational Physics 1996; 126:122-138.
    • (1996) Journal of Computational Physics , vol.126 , pp. 122-138
    • Weinan, E.1    Liu, J.2
  • 9
    • 0036590740 scopus 로고    scopus 로고
    • Analysis of finite difference schemes for unsteady Navier-Stokes equations in vorticity formulation
    • Wang C, Liu J. Analysis of finite difference schemes for unsteady Navier-Stokes equations in vorticity formulation. Numerische Mathematik 2002; 91:543-576.
    • (2002) Numerische Mathematik , vol.91 , pp. 543-576
    • Wang, C.1    Liu, J.2
  • 10
    • 0030584561 scopus 로고    scopus 로고
    • Vorticity boundary condition and related issues for finite difference schemes
    • Weinan E, Liu J. Vorticity boundary condition and related issues for finite difference schemes. Journal of Computational Physics 1996; 124:368-382.
    • (1996) Journal of Computational Physics , vol.124 , pp. 368-382
    • Weinan, E.1    Liu, J.2
  • 11
    • 0033082861 scopus 로고    scopus 로고
    • A review of vorticity conditions in the numerical solution of the ω - ψ equations
    • Napolitano M, Pascazio G, Quartapelle L. A review of vorticity conditions in the numerical solution of the ω - ψ equations. Computer and Fluids 1999; 28:139-185.
    • (1999) Computer and Fluids , vol.28 , pp. 139-185
    • Napolitano, M.1    Pascazio, G.2    Quartapelle, L.3
  • 12
    • 14544268369 scopus 로고    scopus 로고
    • A fast finite difference method for solving Navier-Stokes equations on irregular domains
    • Li Z, Wang C. A fast finite difference method for solving Navier-Stokes equations on irregular domains. Communications in Mathematical Sciences 2003; 1:180-196.
    • (2003) Communications in Mathematical Sciences , vol.1 , pp. 180-196
    • Li, Z.1    Wang, C.2
  • 13
    • 0032582303 scopus 로고    scopus 로고
    • Accuracy and performance of numerical wall boundary conditions for steady, 2D incompressible stream function vorticity
    • Spotz W. Accuracy and performance of numerical wall boundary conditions for steady, 2D incompressible stream function vorticity. International Journal for Numerical Methods in Fluids 1998; 28: 737-757.
    • (1998) International Journal for Numerical Methods in Fluids , vol.28 , pp. 737-757
    • Spotz, W.1
  • 16
    • 25444514029 scopus 로고    scopus 로고
    • A family of finite difference schemes for the convection-diffusion equation in two dimensions
    • Springer: Berlin
    • Sousa E, Sobey I. A family of finite difference schemes for the convection-diffusion equation in two dimensions. Enumath 2001 Numerical Mathematics and Advanced Applications. Springer: Berlin, 2002; 179-188.
    • (2002) Enumath 2001 Numerical Mathematics and Advanced Applications , pp. 179-188
    • Sousa, E.1    Sobey, I.2
  • 18
    • 0001696371 scopus 로고
    • A note on the numerical solution of a fourth order differential equation
    • Woods L. A note on the numerical solution of a fourth order differential equation. Aeronautical Quarterly 1954; 5:176-182.
    • (1954) Aeronautical Quarterly , vol.5 , pp. 176-182
    • Woods, L.1
  • 19
    • 0001394398 scopus 로고
    • Viscous flow round a sphere at low Reynolds numbers
    • Jensen V. Viscous flow round a sphere at low Reynolds numbers. Proceedings of the Royal Society 1959; A294:346-366.
    • (1959) Proceedings of the Royal Society , vol.A294 , pp. 346-366
    • Jensen, V.1
  • 20
    • 0028372584 scopus 로고
    • A vorticity model for viscous flow past a cylinder
    • d'Alessio S, Dennis S. A vorticity model for viscous flow past a cylinder. Computers and Fluids 1994; 23:279-293.
    • (1994) Computers and Fluids , vol.23 , pp. 279-293
    • d'Alessio, S.1    Dennis, S.2
  • 21
    • 84959605141 scopus 로고
    • A numerical study of laminar separation bubbles using Navier-Stokes equations
    • Briley W. A numerical study of laminar separation bubbles using Navier-Stokes equations. Journal of Fluid Mechanics 1971; 47: 713-736.
    • (1971) Journal of Fluid Mechanics , vol.47 , pp. 713-736
    • Briley, W.1
  • 22
    • 0346236225 scopus 로고
    • Symmetric hyperbolic difference schemes and matrix problems
    • Turkel E. Symmetric hyperbolic difference schemes and matrix problems. Linear Algebra and its Applications 1977; 16:109-129.
    • (1977) Linear Algebra and Its Applications , vol.16 , pp. 109-129
    • Turkel, E.1
  • 24
    • 84968520683 scopus 로고
    • New monotone type approximations for elliptic problems
    • Bramble J, Hubbard B. New monotone type approximations for elliptic problems. Mathematics of Computation 1964; 18:349-367.
    • (1964) Mathematics of Computation , vol.18 , pp. 349-367
    • Bramble, J.1    Hubbard, B.2
  • 25
    • 0003121782 scopus 로고
    • On the convergence of numerical solutions for 2-D flows in a cavity at large Re
    • Benjamin A, Denny V. On the convergence of numerical solutions for 2-D flows in a cavity at large Re. Journal of Computational Physics 1979; 33:340-358.
    • (1979) Journal of Computational Physics , vol.33 , pp. 340-358
    • Benjamin, A.1    Denny, V.2
  • 26
    • 49049123295 scopus 로고
    • Driven cavity flows by efficient numerical techniques
    • Schreiber R, Keller H. Driven cavity flows by efficient numerical techniques. Journal of Computational Physics 1983; 49: 310-333.
    • (1983) Journal of Computational Physics , vol.49 , pp. 310-333
    • Schreiber, R.1    Keller, H.2
  • 27
    • 0000322117 scopus 로고
    • Hopf bifurcation of the unsteady regularized driven cavity flow
    • Shen J. Hopf bifurcation of the unsteady regularized driven cavity flow. Journal of Computational Physics 1991; 95:228-245.
    • (1991) Journal of Computational Physics , vol.95 , pp. 228-245
    • Shen, J.1
  • 30
    • 0032078546 scopus 로고    scopus 로고
    • Benchmark spectral results on the lid-driven cavity flow
    • Botella O, Peyret R. Benchmark spectral results on the lid-driven cavity flow. Computers and Fluids 1998; 27:421-433.
    • (1998) Computers and Fluids , vol.27 , pp. 421-433
    • Botella, O.1    Peyret, R.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.