메뉴 건너뛰기




Volumn 217, Issue 2, 2006, Pages 502-518

A finite element penalty-projection method for incompressible flows

Author keywords

Finite elements; Incompressible flows; Navier Stokes; Penalty method; Projection method

Indexed keywords

BENCHMARKING; BOUNDARY CONDITIONS; BOUNDARY LAYERS; CONSTRAINED OPTIMIZATION; FINITE ELEMENT METHOD; MATHEMATICAL OPERATORS; NAVIER STOKES EQUATIONS;

EID: 33748436988     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2006.01.019     Document Type: Article
Times cited : (54)

References (33)
  • 1
    • 85189853180 scopus 로고    scopus 로고
    • Ph. Angot, M. Jobelin, J.-C. Latché, On two variants of the penalty-projection method, Mathematical Modelling and Numerical Analysis (submitted for publication).
  • 2
    • 0001608079 scopus 로고
    • A second-order projection method for the incompressible Navier-Stokes equations
    • Bell J.B., Colella P., and Glaz H.M. A second-order projection method for the incompressible Navier-Stokes equations. Journal of Computational Physics 85 (1989) 257-283
    • (1989) Journal of Computational Physics , vol.85 , pp. 257-283
    • Bell, J.B.1    Colella, P.2    Glaz, H.M.3
  • 3
    • 0028519682 scopus 로고
    • Effective downstream boundary conditions for incompressible Navier-Stokes equations
    • Bruneau C.H., and Fabrie P. Effective downstream boundary conditions for incompressible Navier-Stokes equations. International Journal for Numerical Methods in Fluids 19 (1994) 693-705
    • (1994) International Journal for Numerical Methods in Fluids , vol.19 , pp. 693-705
    • Bruneau, C.H.1    Fabrie, P.2
  • 5
    • 84968510911 scopus 로고
    • Numerical solution of the Navier-Stokes equations
    • Chorin A.J. Numerical solution of the Navier-Stokes equations. Mathematics of Computation 22 (1968) 745-762
    • (1968) Mathematics of Computation , vol.22 , pp. 745-762
    • Chorin, A.J.1
  • 6
    • 17844387944 scopus 로고    scopus 로고
    • Eléments finis: théorie, applications, mise en œuvre
    • Springer, Germany
    • Ern A., and Guermond J.-L. Eléments finis: théorie, applications, mise en œuvre. Mathématiques & Applications vol. 36 (2002), Springer, Germany
    • (2002) Mathématiques & Applications , vol.36
    • Ern, A.1    Guermond, J.-L.2
  • 8
    • 0003507785 scopus 로고
    • Finite element methods for Navier-Stokes equations
    • Theory and Algorithms, Springer-Verlag, Germany
    • Girault V., and Raviart P.-A. Finite element methods for Navier-Stokes equations. Theory and Algorithms. Springer Series in Computational Mathematics vol. 5 (1986), Springer-Verlag, Germany
    • (1986) Springer Series in Computational Mathematics , vol.5
    • Girault, V.1    Raviart, P.-A.2
  • 9
    • 0018330228 scopus 로고
    • A multistep technique with implicit difference schemes for calculating two- or three-dimensional cavity flows
    • Goda K. A multistep technique with implicit difference schemes for calculating two- or three-dimensional cavity flows. Journal of Computational Physics 30 (1979) 76-95
    • (1979) Journal of Computational Physics , vol.30 , pp. 76-95
    • Goda, K.1
  • 10
    • 84987459282 scopus 로고
    • On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 1: Theory
    • Gresho P.M. On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 1: Theory. International Journal for Numerical Methods in Fluids 11 (1990) 587-620
    • (1990) International Journal for Numerical Methods in Fluids , vol.11 , pp. 587-620
    • Gresho, P.M.1
  • 11
    • 84987572923 scopus 로고
    • On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 2: Implementation
    • Gresho P.M. On the theory of semi-implicit projection methods for viscous incompressible flow and its implementation via a finite element method that also introduces a nearly consistent mass matrix. Part 2: Implementation. International Journal for Numerical Methods in Fluids 11 (1990) 621-659
    • (1990) International Journal for Numerical Methods in Fluids , vol.11 , pp. 621-659
    • Gresho, P.M.1
  • 12
    • 0032358205 scopus 로고    scopus 로고
    • On the approximation of the unsteady Navier-Stokes equations by finite element projection methods
    • Guermond J.-L., and Quartapelle L. On the approximation of the unsteady Navier-Stokes equations by finite element projection methods. Numerische Mathematik 80 (1998) 207-238
    • (1998) Numerische Mathematik , vol.80 , pp. 207-238
    • Guermond, J.-L.1    Quartapelle, L.2
  • 13
    • 0030503315 scopus 로고    scopus 로고
    • Some implementations of projection methods for Navier-Stokes equations
    • Guermond J.-L. Some implementations of projection methods for Navier-Stokes equations. Mathematical Modelling and Numerical Analysis 30 5 (1996) 637-667
    • (1996) Mathematical Modelling and Numerical Analysis , vol.30 , Issue.5 , pp. 637-667
    • Guermond, J.-L.1
  • 14
    • 0038934567 scopus 로고    scopus 로고
    • Un résultat de convergence d'ordre deux en temps pour l'approximation des équations de Navier-Stokes par une technique de projection incrémentale
    • Guermond J.-L. Un résultat de convergence d'ordre deux en temps pour l'approximation des équations de Navier-Stokes par une technique de projection incrémentale. Mathematical Modelling and Numerical Analysis 33 1 (1999) 169-189
    • (1999) Mathematical Modelling and Numerical Analysis , vol.33 , Issue.1 , pp. 169-189
    • Guermond, J.-L.1
  • 15
    • 33644595768 scopus 로고    scopus 로고
    • Error analysis of pressure-correction schemes for the Navier-Stokes equations with open boundary conditions
    • Guermond J.L., Minev P., and Shen J. Error analysis of pressure-correction schemes for the Navier-Stokes equations with open boundary conditions. SIAM Journal on Numerical Analysis 43 1 (2005) 239-258
    • (2005) SIAM Journal on Numerical Analysis , vol.43 , Issue.1 , pp. 239-258
    • Guermond, J.L.1    Minev, P.2    Shen, J.3
  • 16
    • 85189844044 scopus 로고    scopus 로고
    • J.L. Guermond, P. Minev, Jie Shen, An overview of projection methods for incompressible flows, International Journal on Numerical Methods in Engineering (submitted for publication).
  • 17
    • 5644272882 scopus 로고    scopus 로고
    • On the error estimates for the rotational pressure-correction projection methods
    • Guermond J.L., and Shen J. On the error estimates for the rotational pressure-correction projection methods. Mathematics of Computation 73 248 (2004) 1719-1737
    • (2004) Mathematics of Computation , vol.73 , Issue.248 , pp. 1719-1737
    • Guermond, J.L.1    Shen, J.2
  • 18
    • 0025416424 scopus 로고
    • Finite element approximation of the nonstationary Navier-Stokes problem. Part IV: Error analysis for second-order time discretization
    • Heywood J.G., and Rannacher R. Finite element approximation of the nonstationary Navier-Stokes problem. Part IV: Error analysis for second-order time discretization. SIAM Journal on Numerical Analysis 27 2 (1990) 353-384
    • (1990) SIAM Journal on Numerical Analysis , vol.27 , Issue.2 , pp. 353-384
    • Heywood, J.G.1    Rannacher, R.2
  • 20
    • 46549092989 scopus 로고
    • Application of a fractional-step method to incompressible Navier-Stokes equations
    • Kim J., and Moin P. Application of a fractional-step method to incompressible Navier-Stokes equations. Journal of Computational Physics 59 (1985) 308-323
    • (1985) Journal of Computational Physics , vol.59 , pp. 308-323
    • Kim, J.1    Moin, P.2
  • 21
    • 85189848097 scopus 로고    scopus 로고
    • Bruno Piar, PELICANS: Un outil d'implémentation de solveurs d'équations aux dérivées partielles, Note Technique 2004/33, IRSN, 2004 (in French).
  • 23
    • 0012224355 scopus 로고    scopus 로고
    • Finite element methods for the incompressible Navier-Stokes equations
    • Birkhauser, Basel
    • Rannacher R. Finite element methods for the incompressible Navier-Stokes equations. Fundamental Directions in Mathematical Fluid Mechanics (2000), Birkhauser, Basel 191-293
    • (2000) Fundamental Directions in Mathematical Fluid Mechanics , pp. 191-293
    • Rannacher, R.1
  • 24
    • 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 Journal on Numerical Analysis 29 1 (1992) 57-77
    • (1992) SIAM Journal on Numerical Analysis , vol.29 , Issue.1 , pp. 57-77
    • Shen, J.1
  • 25
    • 0002259668 scopus 로고
    • On error estimates of some higher order projection and penalty-projection methods for Navier-Stokes equations
    • Shen J. On error estimates of some higher order projection and penalty-projection methods for Navier-Stokes equations. Numerische Mathematik 62 (1992) 49-73
    • (1992) Numerische Mathematik , vol.62 , pp. 49-73
    • Shen, J.1
  • 26
    • 21344493025 scopus 로고
    • Remarks on the pressure estimates for the projection methods
    • Shen J. Remarks on the pressure estimates for the projection methods. Numerische Mathematik 67 (1994) 513-520
    • (1994) Numerische Mathematik , vol.67 , pp. 513-520
    • Shen, J.1
  • 27
    • 0003661057 scopus 로고
    • On error estimates of the penalty method for unsteady Navier-Stokes equations
    • Shen J. On error estimates of the penalty method for unsteady Navier-Stokes equations. SIAM Journal on Numerical Analysis 32 2 (1995) 386-403
    • (1995) SIAM Journal on Numerical Analysis , vol.32 , Issue.2 , pp. 386-403
    • Shen, J.1
  • 28
    • 0030366781 scopus 로고    scopus 로고
    • On error estimates of projection methods for Navier-Stokes equations: second-order schemes
    • Shen J. On error estimates of projection methods for Navier-Stokes equations: second-order schemes. Mathematics of Computation 65 215 (1996) 1039-1065
    • (1996) Mathematics of Computation , vol.65 , Issue.215 , pp. 1039-1065
    • Shen, J.1
  • 30
    • 0041765520 scopus 로고
    • Sur l'approximation de la solution des Équations de Navier-Stokes par la méthode des pas fractionnaires (II)
    • Temam R. Sur l'approximation de la solution des Équations de Navier-Stokes par la méthode des pas fractionnaires (II). Archive for Rational Mechanics and Analysis 33 (1969) 377-385
    • (1969) Archive for Rational Mechanics and Analysis , vol.33 , pp. 377-385
    • Temam, R.1
  • 33
    • 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 Journal on Scientific and Statistical Computing 7 3 (1986) 870-891
    • (1986) SIAM Journal on Scientific and Statistical Computing , vol.7 , Issue.3 , pp. 870-891
    • Van Kan, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.