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Volumn 51, Issue 1, 2004, Pages 1-17

Error estimates for an operator-splitting method for incompressible flows

Author keywords

Error analysis; Finite elements; Fractional step methods; Incompressible viscous flow; Navier Stokes equations

Indexed keywords

APPROXIMATION THEORY; ERROR ANALYSIS; FINITE ELEMENT METHOD; INCOMPRESSIBLE FLOW; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; PRESSURE EFFECTS; VISCOSITY; VISCOUS FLOW;

EID: 4344714410     PISSN: 01689274     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apnum.2004.02.004     Document Type: Article
Times cited : (38)

References (26)
  • 1
    • 0032583621 scopus 로고    scopus 로고
    • A fractional-step method for the incompressible Navier-Stokes equations related to a predictor-multicorrector algorithm
    • Blasco J., Codina R., Huerta A. A fractional-step method for the incompressible Navier-Stokes equations related to a predictor-multicorrector algorithm. Internat. J. Numer. Methods Fluids. 28:1997;1391-1419.
    • (1997) Internat. J. Numer. Methods Fluids , vol.28 , pp. 1391-1419
    • Blasco, J.1    Codina, R.2    Huerta, A.3
  • 2
    • 0019607241 scopus 로고
    • Streamline upwind Petrov-Galerkin formulations for convection dominated flows with particular enphasis on the incompressible Navier-Stokes equations
    • Brooks A.N., Hughes T.J.R. Streamline upwind Petrov-Galerkin formulations for convection dominated flows with particular enphasis on the incompressible Navier-Stokes equations. Comput. Methods Appl. Mech. Engrg. 32:1982;199-259.
    • (1982) Comput. Methods Appl. Mech. Engrg. , vol.32 , pp. 199-259
    • Brooks, A.N.1    Hughes, T.J.R.2
  • 3
    • 0035400322 scopus 로고    scopus 로고
    • Stability results for fractional step discretizations of time dependent coefficient evolutionary problems
    • Bujanda B., Jorge J.C. Stability results for fractional step discretizations of time dependent coefficient evolutionary problems. Appl. Numer. Math. 38:(1-2):2001;69-86.
    • (2001) Appl. Numer. Math. , vol.38 , Issue.1-2 , pp. 69-86
    • Bujanda, B.1    Jorge, J.C.2
  • 4
    • 84968510911 scopus 로고
    • Numerical solution of the Navier-Stokes equations
    • Chorin A.J. Numerical solution of the Navier-Stokes equations. Math. Comp. 22:1968;745-762.
    • (1968) Math. Comp. , vol.22 , pp. 745-762
    • Chorin, A.J.1
  • 5
    • 84968483581 scopus 로고
    • On the convergence of discrete approximations to the Navier-Stokes equations
    • Chorin A.J. On the convergence of discrete approximations to the Navier-Stokes equations. Math. Comp. 23:1969;341-353.
    • (1969) Math. Comp. , vol.23 , pp. 341-353
    • Chorin, A.J.1
  • 6
    • 0038933008 scopus 로고    scopus 로고
    • A convergence result for a parallel algorithm for solving the Navier-Stokes equations
    • Cruz Soto J.L., Calzada Canalejo M.C., Marin Beltrán M., Fernandez-Cara E. A convergence result for a parallel algorithm for solving the Navier-Stokes equations. Comput. Math. Appl. 35:(4):1998;71-88.
    • (1998) Comput. Math. Appl. , vol.35 , Issue.4 , pp. 71-88
    • Soto, J.L.C.1    Canalejo, M.C.C.2    Beltrán, M.M.3    Fernandez-Cara, E.4
  • 8
    • 0020118213 scopus 로고
    • Finite element solution of the unsteady Navier-Stokes equations by a fractional step method
    • Donea J., Giuliani S., Laval H., Quartapelle L. Finite element solution of the unsteady Navier-Stokes equations by a fractional step method. Comput. Methods Appl. Mech. Engrg. 30:1982;53-73.
    • (1982) Comput. Methods Appl. Mech. Engrg. , vol.30 , pp. 53-73
    • Donea, J.1    Giuliani, S.2    Laval, H.3    Quartapelle, L.4
  • 9
    • 0040030602 scopus 로고
    • The convergence of two numerical schemes for the Navier-Stokes equations
    • Fernandez-Cara E., Marin Beltrán M. The convergence of two numerical schemes for the Navier-Stokes equations. Numer. Math. 55:1989;33-60.
    • (1989) Numer. Math. , vol.55 , pp. 33-60
    • Fernandez-Cara, E.1    Beltrán, M.M.2
  • 11
    • 0028035577 scopus 로고
    • A fictitious domain method for external incompressible viscous flow modeled by Navier-Stokes equations
    • Glowinski R., Pan T.W., Periaux J. A fictitious domain method for external incompressible viscous flow modeled by Navier-Stokes equations. Comput. Methods Appl. Mech. Engrg. 112:1994;133-148.
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.112 , pp. 133-148
    • Glowinski, R.1    Pan, T.W.2    Periaux, J.3
  • 12
    • 0032358205 scopus 로고    scopus 로고
    • On the approximation of the unsteady Navier-Stokes equations by finite element projection methods
    • Guermond J.L., Quartapelle L. On the approximation of the unsteady Navier-Stokes equations by finite element projection methods. Numer. Math. 80:1998;207-238.
    • (1998) Numer. Math. , vol.80 , pp. 207-238
    • Guermond, J.L.1    Quartapelle, L.2
  • 13
    • 0000966077 scopus 로고
    • Finite element approximation of the nonstationary Navier-Stokes problem I. Regularity of solutions and second order error estimates for spatial discretization
    • Heywood J.G., Rannacher R. Finite element approximation of the nonstationary Navier-Stokes problem I. Regularity of solutions and second order error estimates for spatial discretization. SIAM J. Numer. Anal. 19:(2):1982;275-311.
    • (1982) SIAM J. Numer. Anal. , vol.19 , Issue.2 , pp. 275-311
    • Heywood, J.G.1    Rannacher, R.2
  • 14
    • 0000674333 scopus 로고
    • A second-order accurate pressure correction scheme for viscous incompressible flow
    • van Kan J. A second-order accurate pressure correction scheme for viscous incompressible flow. SIAM J. Sci. Statist. Comput. 7:(3):1986;870-891.
    • (1986) SIAM J. Sci. Statist. Comput. , vol.7 , Issue.3 , pp. 870-891
    • Van Kan, J.1
  • 15
    • 46549092989 scopus 로고
    • Application of a fractional-step method to incompressible Navier-Stokes equations
    • Kim J., Moin P. Application of a fractional-step method to incompressible Navier-Stokes equations. J. Comput. Phys. 59:1985;308-323.
    • (1985) J. Comput. Phys. , vol.59 , pp. 308-323
    • Kim, J.1    Moin, P.2
  • 16
    • 0026407371 scopus 로고
    • Viscosity-splitting scheme for the Navier-Stokes equations
    • Ying Long-an. Viscosity-splitting scheme for the Navier-Stokes equations. Numer. Methods Partial Differential Equations. 7:1991;317-338.
    • (1991) Numer. Methods Partial Differential Equations , vol.7 , pp. 317-338
    • Ying, L.-A.1
  • 17
    • 0001553069 scopus 로고
    • A numerical method for incompressible viscous flow simulation
    • Natarajan R. A numerical method for incompressible viscous flow simulation. J. Comput. Phys. 100:1992;384-395.
    • (1992) J. Comput. Phys. , vol.100 , pp. 384-395
    • Natarajan, R.1
  • 18
    • 0022984775 scopus 로고
    • Boundary conditions for incompressible flows
    • Orzag S.A., Israeli M., Deville M.O. Boundary conditions for incompressible flows. J. Sci. Comput. 1:(1):1986;75-111.
    • (1986) J. Sci. Comput. , vol.1 , Issue.1 , pp. 75-111
    • Orzag, S.A.1    Israeli, M.2    Deville, M.O.3
  • 19
    • 0034234056 scopus 로고    scopus 로고
    • Factorization methods for the numerical approximation of Navier-Stokes equations
    • Quarteroni A., Saleri F., Veneziani A. Factorization methods for the numerical approximation of Navier-Stokes equations. Comput. Methods Appl. Mech. Engrg. 188:2000;505-526.
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.188 , pp. 505-526
    • Quarteroni, A.1    Saleri, F.2    Veneziani, A.3
  • 20
    • 0026819596 scopus 로고
    • On error estimates of projection methods for Navier-Stokes equations: First-order schemes
    • Shen J. On error estimates of projection methods for Navier-Stokes equations: First-order schemes. SIAM J. Numer. Anal. 29:1992;57-77.
    • (1992) SIAM J. Numer. Anal. , vol.29 , pp. 57-77
    • Shen, J.1
  • 21
    • 21344493025 scopus 로고
    • Remarks on the pressure error estimates for the projection method
    • Shen J. Remarks on the pressure error estimates for the projection method. Numer. Math. 67:1994;513-520.
    • (1994) Numer. Math. , vol.67 , pp. 513-520
    • Shen, J.1
  • 22
    • 0000082056 scopus 로고
    • Une méthode d'approximations de la solution des équations de Navier-Stokes
    • Temam R. Une méthode d'approximations de la solution des équations de Navier-Stokes. Bull. Soc. Math. France. 98:1968;115-152.
    • (1968) Bull. Soc. Math. France , vol.98 , pp. 115-152
    • Temam, R.1
  • 23
    • 0000588299 scopus 로고
    • Sur la stabilité et la convergence de la méthode des pas fractionaires
    • Temam R. Sur la stabilité et la convergence de la méthode des pas fractionaires. Ann. Mat. Pura Appl. 74:1968;191-380.
    • (1968) Ann. Mat. Pura Appl. , vol.74 , pp. 191-380
    • Temam, R.1
  • 25
    • 0001603421 scopus 로고
    • Remark on the pressure boundary condition for the projection method
    • Temam R. Remark on the pressure boundary condition for the projection method. Theor. Comput. Fluid Dyn. 3:1991;181-184.
    • (1991) Theor. Comput. Fluid Dyn. , vol.3 , pp. 181-184
    • Temam, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.