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Volumn 42, Issue 1, 2010, Pages 1-22

A coupled legendre-laguerre spectral-element method for the navier-stokes equations in unbounded domains

Author keywords

Computational fluid dynamics; Error analysis; Inf sup condition; Laguerre functions; Legendre polynomials; Navier Stokes equations; Spectral element; Stokes equations

Indexed keywords

INF-SUP CONDITIONS; LAGUERRE FUNCTIONS; LEGENDRE POLYNOMIALS; SPECTRAL ELEMENT; STOKES EQUATIONS;

EID: 77951133830     PISSN: 08857474     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10915-009-9313-1     Document Type: Article
Times cited : (18)

References (20)
  • 1
    • 77951125060 scopus 로고    scopus 로고
    • A Laguerre-Legendre spectral method for the Stokes problem in a semi-infinite channel
    • 10.1137/070698269 2475939
    • M. Azaiez J. Shen C. Xu Q. Zhuang 2008 A Laguerre-Legendre spectral method for the Stokes problem in a semi-infinite channel SIAM J. Numer. Anal. 47 1 271 292 10.1137/070698269 2475939
    • (2008) SIAM J. Numer. Anal. , vol.47 , Issue.1 , pp. 271-292
    • Azaiez, M.1    Shen, J.2    Xu, C.3    Zhuang, Q.4
  • 3
    • 0035341740 scopus 로고    scopus 로고
    • Rational chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions
    • DOI 10.1016/S0898-1221(01)00098-0, PII S0898122101000980
    • J.P. Boyd 2001 Rational Chebyshev spectral methods for unbounded solutions on an infinite interval using polynomial-growth special basis functions Comput. Math. Appl. 41 1293 1315 0987.65122 10.1016/S0898-1221(01) 00098-0 1824926 (Pubitemid 32366175)
    • (2001) Computers and Mathematics with Applications , vol.41 , Issue.10-11 , pp. 1293-1315
    • Boyd, J.P.1
  • 4
    • 0016093926 scopus 로고
    • On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers
    • 365287
    • F. Brezzi 1974 On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers Rev. Fr. Autom. Informat. Rech. Opér. Sér. Rouge 8 R-2 129 151 365287
    • (1974) Rev. Fr. Autom. Informat. Rech. Opér. Sér. Rouge , vol.8 , Issue.R-2 , pp. 129-151
    • Brezzi, F.1
  • 6
    • 0000489687 scopus 로고
    • A fast schur complement method for the spectral element discretization of the incompressible Navier-Stokes equations
    • 0832.76068 10.1006/jcph.1995.1011
    • W. Couzy M.O. Deville 1995 A fast schur complement method for the spectral element discretization of the incompressible Navier-Stokes equations J. Comput. Phys. 116 135 142 0832.76068 10.1006/jcph.1995.1011
    • (1995) J. Comput. Phys. , vol.116 , pp. 135-142
    • Couzy, W.1    Deville, M.O.2
  • 9
    • 33746140897 scopus 로고    scopus 로고
    • An overview of projection methods for incompressible flows
    • DOI 10.1016/j.cma.2005.10.010, PII S0045782505004640
    • J.L. Guermond P. Minev J. Shen 2006 An overview of projection methods for incompressible flows Comput. Methods Appl. Mech. Eng. 195 6011 6045 1122.76072 10.1016/j.cma.2005.10.010 2250931 (Pubitemid 44081046)
    • (2006) Computer Methods in Applied Mechanics and Engineering , vol.195 , Issue.44-47 , pp. 6011-6045
    • Guermond, J.L.1    Minev, P.2    Shen, J.3
  • 10
    • 3543090402 scopus 로고    scopus 로고
    • Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces
    • DOI 10.1016/j.jat.2004.03.008, PII S0021904504000516
    • B.-Y. Guo L.-L. Wang 2004 Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces J. Approx. Theory 128 1 1 41 1057.41003 10.1016/j.jat.2004.03.008 2063010 (Pubitemid 39025537)
    • (2004) Journal of Approximation Theory , vol.128 , Issue.1 , pp. 1-41
    • Guo, B.-Y.1    Wang, L.-L.2
  • 11
    • 33845541571 scopus 로고    scopus 로고
    • Generalized Laguerre interpolation and pseudospectral method for unbounded domains
    • DOI 10.1137/04061324X
    • B.-Y. Guo L.-L. Wang Z.-Q. Wang 2006 Generalized Laguerre interpolation and pseudospectral method for unbounded domains SIAM J. Numer. Anal. 43 6 2567 2589 1116.41002 10.1137/04061324X 2206448 (Pubitemid 44922330)
    • (2006) SIAM Journal on Numerical Analysis , vol.43 , Issue.6 , pp. 2567-2589
    • Guo, B.-Y.1    Wang, L.-L.2    Wang, Z.-Q.3
  • 12
    • 77951100537 scopus 로고    scopus 로고
    • A fractional step method for the time dependent incompressible Navier-Stokes/Euler coupled equations
    • 1982019
    • Y. Lin C. Xu 2003 A fractional step method for the time dependent incompressible Navier-Stokes/Euler coupled equations Acta Aerodyn. Sin. 21 3 368 376 1982019
    • (2003) Acta Aerodyn. Sin. , vol.21 , Issue.3 , pp. 368-376
    • Lin, Y.1    Xu, C.2
  • 13
    • 34250966014 scopus 로고
    • Direct solution of partial differential equations by tensor product methods
    • 0126.12703 10.1007/BF01386067 213047
    • R.E. Lynch J.R. Rice D.H. Thomas 1964 Direct solution of partial differential equations by tensor product methods Numer. Math. 6 185 199 0126.12703 10.1007/BF01386067 213047
    • (1964) Numer. Math. , vol.6 , pp. 185-199
    • Lynch, R.E.1    Rice, J.R.2    Thomas, D.H.3
  • 14
    • 0025532444 scopus 로고
    • Operator-integration-factor splitting method for time-dependent problems. Application to incompressible fluid flow
    • Y. Maday A.T. Patera E.M. Rønquist 1990 An operator integration-factor splitting method for time-dependent problems: application to incompressible fluid flow J. Sci. Comput. 5 263 292 0724.76070 10.1007/BF01063118 1105250 (Pubitemid 21650059)
    • (1990) Journal of Scientific Computing , vol.5 , Issue.4 , pp. 263-292
    • Maday, Y.1    Patera Anthony, T.2    Ronquist Einar, M.3
  • 15
    • 0000515085 scopus 로고
    • Analysis of iterative methods for the steady and unsteady Stokes problem: Application to spectral element discretizations
    • 0769.76047 10.1137/0914020 1204233
    • Y. Maday D. Meiron A.T. Patera E.M. Rønquist 1993 Analysis of iterative methods for the steady and unsteady Stokes problem: application to spectral element discretizations SIAM J. Sci. Comput. 14 2 310 337 0769.76047 10.1137/0914020 1204233
    • (1993) SIAM J. Sci. Comput. , vol.14 , Issue.2 , pp. 310-337
    • Maday, Y.1    Meiron, D.2    Patera, A.T.3    Rønquist, E.M.4
  • 16
    • 0002615718 scopus 로고
    • An analysis of the fractional step method
    • 0778.76064 10.1006/jcph.1993.1162 1239968
    • J.B. Perot 1993 An analysis of the fractional step method J. Comput. Phys. 108 51 58 0778.76064 10.1006/jcph.1993.1162 1239968
    • (1993) J. Comput. Phys. , vol.108 , pp. 51-58
    • Perot, J.B.1
  • 17
    • 0034432262 scopus 로고    scopus 로고
    • Stable and efficient spectral methods in unbounded domains using Laguerre functions
    • PII S0036142999362936
    • J. Shen 2000 Stable and efficient spectral methods in unbounded domains using Laguerre functions SIAM J. Numer. Anal. 38 4 1113 1133 0979.65105 10.1137/S0036142999362936 1786133 (Pubitemid 33778994)
    • (2000) SIAM Journal on Numerical Analysis , vol.38 , Issue.4 , pp. 1113-1133
    • Shen, J.1
  • 18
    • 61349178906 scopus 로고    scopus 로고
    • Some recent advances on spectral methods for unbounded domains
    • 2513685
    • J. Shen L.-L. Wang 2009 Some recent advances on spectral methods for unbounded domains Commun. Comput. Phys. 5 195 241 2513685
    • (2009) Commun. Comput. Phys. , vol.5 , pp. 195-241
    • Shen, J.1    Wang, L.-L.2
  • 19
    • 0035864724 scopus 로고    scopus 로고
    • On the efficiency of semi-implicit and semi-Lagrangian spectral methods for the calculation of incompressible flows
    • DOI 10.1002/1097-0363(20010215)35:3<319::AID-FLD95>3.0.CO;2-V
    • C. Xu R. Pasquetti 2001 On the efficiency of semi-implicit and semi-Lagrangian spectral methods for the calculation of incompressible flows Int. J. Numer. Methods Fluids 35 319 340 1012.76068 10.1002/1097-0363(20010215) 35:3<319::AID-FLD95>3.0.CO;2-V (Pubitemid 32258677)
    • (2001) International Journal for Numerical Methods in Fluids , vol.35 , Issue.3 , pp. 319-340
    • Iafrati, A.1    Di Mascio, A.2    Campana, E.F.3
  • 20
    • 35348847479 scopus 로고    scopus 로고
    • A numerical comparison of outflow boundary conditions for spectral element simulations of incompressible flows
    • 1164.76362 2314853
    • C. Xu Y. Lin 2007 A numerical comparison of outflow boundary conditions for spectral element simulations of incompressible flows Commun. Comput. Phys. 2 477 500 1164.76362 2314853
    • (2007) Commun. Comput. Phys. , vol.2 , pp. 477-500
    • Xu, C.1    Lin, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.