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Volumn 33, Issue 1, 2000, Pages 275-280

Stable and unstable formulations of the convection operator in spectral element simulations

Author keywords

Formulation of convection operator; Incompressible flow; Navier Stokes simulation; Numerical instability; Spectral element method

Indexed keywords

COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; HEAT CONVECTION; INCOMPRESSIBLE FLOW; LINEAR EQUATIONS; LINEARIZATION; MATHEMATICAL OPERATORS; NAVIER STOKES EQUATIONS; NUMERICAL ANALYSIS; POLYNOMIALS;

EID: 0034190405     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0168-9274(99)00093-8     Document Type: Article
Times cited : (9)

References (10)
  • 1
    • 0030196091 scopus 로고    scopus 로고
    • The effect of the formulation of nonlinear terms on aliasing errors in spectral methods
    • G.A. Blaisdell, E.T. Spyropoulos, J.H. Qin, The effect of the formulation of nonlinear terms on aliasing errors in spectral methods, Appl. Numer. Math. 21 (1996) 207-219.
    • (1996) Appl. Numer. Math. , vol.21 , pp. 207-219
    • Blaisdell, G.A.1    Spyropoulos, E.T.2    Qin, J.H.3
  • 4
    • 0031145109 scopus 로고    scopus 로고
    • An overlapping Schwarz method for spectral element solution of the incompressible Navier-Stokes equations
    • P.F. Fischer, An overlapping Schwarz method for spectral element solution of the incompressible Navier- Stokes equations, J. Comput. Phys. 133 (1997) 84-101.
    • (1997) J. Comput. Phys. , vol.133 , pp. 84-101
    • Fischer, P.F.1
  • 5
    • 12044252810 scopus 로고
    • Incompressible fluid dynamics: Some fundamental formulation issues
    • P.M. Gresho, Incompressible fluid dynamics: Some fundamental formulation issues, Ann. Rev. Fluid Mech. 23 (1991) 413-453.
    • (1991) Ann. Rev. Fluid Mech. , vol.23 , pp. 413-453
    • Gresho, P.M.1
  • 6
    • 28144457683 scopus 로고
    • High-order splitting methods for incompressible Navier-Stokes equations
    • G.E. Karniadakis, M. Israeli, S.A. Orszag, High-order splitting methods for incompressible Navier-Stokes equations, J. Comput. Phys. 97 (1991) 414-443.
    • (1991) J. Comput. Phys. , vol.97 , pp. 414-443
    • Karniadakis, G.E.1    Israeli, M.2    Orszag, S.A.3
  • 7
    • 0024917277 scopus 로고
    • Spectral element methods for the incompressible Navier-Stokes equations
    • A.K. Noor (Ed.), ASME, New York
    • Y. Maday, A.T. Patera, Spectral element methods for the incompressible Navier-Stokes equations, in: A.K. Noor (Ed.), State-of-the-art-surveys in Computational Mechanics, ASME, New York, 1989, pp. 71-143.
    • (1989) State-of-the-art-surveys in Computational Mechanics , pp. 71-143
    • Maday, Y.1    Patera, A.T.2
  • 8
    • 0029656415 scopus 로고    scopus 로고
    • Convection treatment using spectral elements of different order
    • E.M. Rønquist, Convection treatment using spectral elements of different order, Internat. J. Numer. Methods Fluids 22 (1996) 241-264.
    • (1996) Internat. J. Numer. Methods Fluids , vol.22 , pp. 241-264
    • Rønquist, E.M.1
  • 10
    • 0025842042 scopus 로고
    • On the rotational and skew-symmetric forms for incompressible flow simulations
    • T.A. Zang, On the rotational and skew-symmetric forms for incompressible flow simulations, Appl. Numer. Math. 7 (1991) 27-40.
    • (1991) Appl. Numer. Math. , vol.7 , pp. 27-40
    • Zang, T.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.