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Volumn 38, Issue 1-3, 2005, Pages 111-131

Fundamental Stokes eigenmodes in the square: Which expansion is more accurate, Chebyshev or Reid-Harris?

Author keywords

Chebyshev and Reid Harris spectral methods; Stokes eigenmodes

Indexed keywords


EID: 23944517578     PISSN: 10171398     EISSN: 15729265     Source Type: Journal    
DOI: 10.1007/s11075-004-2861-4     Document Type: Article
Times cited : (6)

References (23)
  • 2
    • 0031082716 scopus 로고    scopus 로고
    • Efficient algorithms for solving a fourth-order equation with the spectral-Galerkin method
    • P.E. Bjørstad and B.P. Tjøstheim, Efficient algorithms for solving a fourth-order equation with the spectral-Galerkin method, SIAM J. Sci. Comput. 18(2) (1997) 621-632.
    • (1997) SIAM J. Sci. Comput. , vol.18 , Issue.2 , pp. 621-632
    • Bjørstad, P.E.1    Tjøstheim, B.P.2
  • 3
    • 0033294470 scopus 로고    scopus 로고
    • High precision solutions of two fourth order eigenvalue problems
    • P.E. Bjørstad and B.P. Tjøstheim, High precision solutions of two fourth order eigenvalue problems, Computing 63(2) (1999) 97-107.
    • (1999) Computing , vol.63 , Issue.2 , pp. 97-107
    • Bjørstad, P.E.1    Tjøstheim, B.P.2
  • 5
    • 0002304433 scopus 로고    scopus 로고
    • Decaying two-dimensional turbulence in square containers with no-slip or stress-free boundaries
    • H.J.H. Clercx, S.R. Maassen and G.J.F. van Heijst, Decaying two-dimensional turbulence in square containers with no-slip or stress-free boundaries, Phys. Fluids 11(3) (1999) 611-626.
    • (1999) Phys. Fluids , vol.11 , Issue.3 , pp. 611-626
    • Clercx, H.J.H.1    Maassen, S.R.2    Van Heijst, G.J.F.3
  • 6
    • 0000073888 scopus 로고
    • Effects of the forcing function spectrum on the energy-spectrum in 2-d turbulence
    • P. Constantin, C. Foias and O.P. Manley, Effects of the forcing function spectrum on the energy-spectrum in 2-d turbulence, Phys. Fluids 6(1) (1994) 427-429.
    • (1994) Phys. Fluids , vol.6 , Issue.1 , pp. 427-429
    • Constantin, P.1    Foias, C.2    Manley, O.P.3
  • 9
    • 0042196974 scopus 로고
    • On orthogonal functions which satisfy four boundary conditions. I. Tables for use in fourier-type expansions
    • D.L. Harris and W.H. Reid, On orthogonal functions which satisfy four boundary conditions. I. Tables for use in Fourier-type expansions, Astrophys. J. Supp. Ser. 3 (1958) 429-447.
    • (1958) Astrophys. J. Supp. Ser. , vol.3 , pp. 429-447
    • Harris, D.L.1    Reid, W.H.2
  • 11
    • 0034879452 scopus 로고    scopus 로고
    • High-order direct stokes solvers with or without temporal splitting: Numerical investigations of their comparative properties
    • E. Leriche and G. Labrosse, High-order direct Stokes solvers with or without temporal splitting: Numerical investigations of their comparative properties, SIAM J. Sci. Comput. 22(4) (2000) 1386-1410.
    • (2000) SIAM J. Sci. Comput. , vol.22 , Issue.4 , pp. 1386-1410
    • Leriche, E.1    Labrosse, G.2
  • 12
    • 7244260551 scopus 로고    scopus 로고
    • Stokes eigenmodes in square domain and the stream function - Vorticity correlation
    • E. Leriche and G. Labrosse, Stokes eigenmodes in square domain and the stream function - vorticity correlation, J. Comput. Phys. 200 (2004) 489-511.
    • (2004) J. Comput. Phys. , vol.200 , pp. 489-511
    • Leriche, E.1    Labrosse, G.2
  • 13
    • 77952889884 scopus 로고
    • Viscous and resistive eddies near a sharp corner
    • H.K. Moffatt, Viscous and resistive eddies near a sharp corner, J. Fluid Mech. 18 (1964) 1-18.
    • (1964) J. Fluid Mech. , vol.18 , pp. 1-18
    • Moffatt, H.K.1
  • 14
    • 0022984775 scopus 로고
    • Boundary conditions for incompressible flows
    • S.A. Orszag, M. Israeli and M. Deville, Boundary conditions for incompressible flows, J. Sci. Comput. 1(1) (1986) 75-111.
    • (1986) J. Sci. Comput. , vol.1 , Issue.1 , pp. 75-111
    • Orszag, S.A.1    Israeli, M.2    Deville, M.3
  • 15
    • 0042196974 scopus 로고
    • On orthogonal functions which satisfy four boundary conditions. II. Integrals for use with Fourier-type expansions
    • W.H. Reid and D.L. Harris, On orthogonal functions which satisfy four boundary conditions. II. Integrals for use with Fourier-type expansions, Astrophys. J. Supp. Ser. 3 (1958) 448-452.
    • (1958) Astrophys. J. Supp. Ser. , vol.3 , pp. 448-452
    • Reid, W.H.1    Harris, D.L.2
  • 17
    • 0027386854 scopus 로고
    • The eddy structure in stokes flow in a cavity
    • P.N. Shankar, The eddy structure in Stokes flow in a cavity, J. Fluid Mech. 250 (1993) 371-383.
    • (1993) J. Fluid Mech. , vol.250 , pp. 371-383
    • Shankar, P.N.1
  • 19
    • 84970610709 scopus 로고
    • The bending of a semi-infinite strip
    • R.C.T. Smith, The bending of a semi-infinite strip, Austral. J. Sci. Res. 5 (1952) 227-237.
    • (1952) Austral. J. Sci. Res. , vol.5 , pp. 227-237
    • Smith, R.C.T.1
  • 20
    • 0017426864 scopus 로고
    • The free surface on a simple fluid between cylinders undergoing torsional oscillations. Part III: Oscillating planes
    • L. Sturges and D.D. Joseph, The free surface on a simple fluid between cylinders undergoing torsional oscillations. Part III: Oscillating planes, Archive Rational Mech. Anal. 64 (1977) 245-267.
    • (1977) Archive Rational Mech. Anal. , vol.64 , pp. 245-267
    • Sturges, L.1    Joseph, D.D.2
  • 21
    • 84979320347 scopus 로고
    • The buckling load for a rectangular plate with four clamped edges
    • G.I. Taylor, The buckling load for a rectangular plate with four clamped edges, Z. Angew. Math. Mech. 13(2) (1933) 147-152.
    • (1933) Z. Angew. Math. Mech. , vol.13 , Issue.2 , pp. 147-152
    • Taylor, G.I.1
  • 22
    • 0000992180 scopus 로고    scopus 로고
    • Decaying quasi-two-dimensional viscous flow on a square domain
    • J.A. van de Konijnenberg, J.B. Flor and G.J.F. van Heijst, Decaying quasi-two-dimensional viscous flow on a square domain, Phys. Fluids 10(3) (1998) 595-606.
    • (1998) Phys. Fluids , vol.10 , Issue.3 , pp. 595-606
    • Van De Konijnenberg, J.A.1    Flor, J.B.2    Van Heijst, G.J.F.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.