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Volumn 51, Issue 9-10, 2006, Pages 1551-1570

Numerical simulation of incompressible fluid flow using locally solenoidal elements

Author keywords

Discontinuous Galerkin method; Incompressible flow; Solenoidal elements

Indexed keywords

BENCHMARKING; COMPUTER SIMULATION; FLUID MECHANICS; NAVIER STOKES EQUATIONS; POLYNOMIALS; PROBLEM SOLVING; SOLENOIDS; VELOCITY CONTROL;

EID: 33745727777     PISSN: 08981221     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.camwa.2005.10.016     Document Type: Article
Times cited : (10)

References (25)
  • 2
    • 0001408252 scopus 로고    scopus 로고
    • A nonconforming finite element method for the stationary Navier-Stokes equations
    • Karakashian O., and Jureidini W. A nonconforming finite element method for the stationary Navier-Stokes equations. SIAM Journal of Numerical Analysis 35 (1998) 93-120
    • (1998) SIAM Journal of Numerical Analysis , vol.35 , pp. 93-120
    • Karakashian, O.1    Jureidini, W.2
  • 3
    • 0001163226 scopus 로고
    • An interior penalty finite element method with discontinuous elements
    • Arnold D.N. An interior penalty finite element method with discontinuous elements. SIAM Journal Numerical Analysis 19 (1982) 742-760
    • (1982) SIAM Journal Numerical Analysis , vol.19 , pp. 742-760
    • Arnold, D.N.1
  • 4
    • 0000802762 scopus 로고
    • An elliptic collocation-finite element method with interior penalties
    • Wheeler M.F. An elliptic collocation-finite element method with interior penalties. SIAM Journal Numerical Analysis 15 (1978) 152-161
    • (1978) SIAM Journal Numerical Analysis , vol.15 , pp. 152-161
    • Wheeler, M.F.1
  • 5
    • 0001456343 scopus 로고
    • Interior penalty procedures for elliptic and parabolic Galerkin methods
    • Springer-Verlag, Philadelphia, PA
    • Douglas Jr. J., and Dupont T. Interior penalty procedures for elliptic and parabolic Galerkin methods. Lecture Notes in Physics Volume 58 (1976), Springer-Verlag, Philadelphia, PA
    • (1976) Lecture Notes in Physics , vol.58
    • Douglas Jr., J.1    Dupont, T.2
  • 7
    • 33745733825 scopus 로고
    • On Fully discrete Galerkin approximations for the incompressible Navier-Stokes equations
    • University of Tennessee
    • Katsaounis T. On Fully discrete Galerkin approximations for the incompressible Navier-Stokes equations. Ph.D. Thesis (1994), University of Tennessee
    • (1994) Ph.D. Thesis
    • Katsaounis, T.1
  • 9
    • 0003796630 scopus 로고
    • Academic Press, Knoxville, TN
    • Adams R. Sobolev Spaces (1975), Academic Press, Knoxville, TN
    • (1975) Sobolev Spaces
    • Adams, R.1
  • 11
    • 0001537143 scopus 로고
    • Nonconforming elements in the finite element method with penalty
    • Babuska I., and Zlamal M. Nonconforming elements in the finite element method with penalty. SIAM Journal Numerical Analysis 10 (1973) 863-875
    • (1973) SIAM Journal Numerical Analysis , vol.10 , pp. 863-875
    • Babuska, I.1    Zlamal, M.2
  • 12
    • 84904152686 scopus 로고
    • Finite element methods for elliptic equations using nonconforming elements
    • Baker G. Finite element methods for elliptic equations using nonconforming elements. Mathematics of Computation 31 (1977) 45-59
    • (1977) Mathematics of Computation , vol.31 , pp. 45-59
    • Baker, G.1
  • 13
    • 0000698561 scopus 로고
    • Stabilized mixed methods for the Stokes problem
    • Brezzi F., and Douglas Jr. J. Stabilized mixed methods for the Stokes problem. Numerische Mathematik 53 (1988) 225-235
    • (1988) Numerische Mathematik , vol.53 , pp. 225-235
    • Brezzi, F.1    Douglas Jr., J.2
  • 14
    • 0023450642 scopus 로고
    • A new finite element formulation for computational fluid dynamics: VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity-pressure spaces
    • Hughes T.J.R., and Franca L.P. A new finite element formulation for computational fluid dynamics: VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity-pressure spaces. Computer Methods in Applied Mechanics and Engineering 65 (1987) 85-96
    • (1987) Computer Methods in Applied Mechanics and Engineering , vol.65 , pp. 85-96
    • Hughes, T.J.R.1    Franca, L.P.2
  • 15
    • 33745691573 scopus 로고    scopus 로고
    • Modulef Library, INRIA, France.
  • 16
    • 11744387568 scopus 로고
    • An orthogonal projection algorithm for generalized Stokes problem
    • Bramley R. An orthogonal projection algorithm for generalized Stokes problem. Report 1190 CSRD (1992)
    • (1992) Report 1190 CSRD
    • Bramley, R.1
  • 17
    • 0003760147 scopus 로고
    • Implementation of Finite Element Methods for Navier-Stokes Equations
    • Springer-Verlag
    • Thomasset F. Implementation of Finite Element Methods for Navier-Stokes Equations. Springer Series in Computational Physics (1981), Springer-Verlag
    • (1981) Springer Series in Computational Physics
    • Thomasset, F.1
  • 19
    • 33745691572 scopus 로고    scopus 로고
    • K. Morgan, J. Periaux and F. Thomasset. Analysis of laminar flow over a Backward facing step. In Notes on Numerical Fluid Mechanics, Volume 9, Fried. Vieweg, Sohn.
  • 20
    • 49049143188 scopus 로고
    • High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
    • Ghia U., Ghia K.N., and Shin C.T. High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method. Journal of Computational Physics 48 (1982) 387-411
    • (1982) Journal of Computational Physics , vol.48 , pp. 387-411
    • Ghia, U.1    Ghia, K.N.2    Shin, C.T.3
  • 21
    • 46149132843 scopus 로고
    • Block-implicit multigrid solution of Navier-Stokes equations in primitive variables
    • Vanka S.P. Block-implicit multigrid solution of Navier-Stokes equations in primitive variables. Journal of Computational Physics 65 (1986) 138-158
    • (1986) Journal of Computational Physics , vol.65 , pp. 138-158
    • Vanka, S.P.1
  • 22
    • 49049123295 scopus 로고
    • Driven cavity flows by efficient numerical techniques
    • Schreiber R., and Keller H.B. Driven cavity flows by efficient numerical techniques. Journal of Computational Physics 49 (1983) 310-333
    • (1983) Journal of Computational Physics , vol.49 , pp. 310-333
    • Schreiber, R.1    Keller, H.B.2
  • 24
    • 2242441987 scopus 로고
    • A second order upwinding finite difference scheme for the steady Navier-Stokes equations in primitive variables in a driven cavity with a multigrid solver
    • Zhang L.B. A second order upwinding finite difference scheme for the steady Navier-Stokes equations in primitive variables in a driven cavity with a multigrid solver. Mathematical Modeling and Numerical Analysis 24 1 (1990) 113-150
    • (1990) Mathematical Modeling and Numerical Analysis , vol.24 , Issue.1 , pp. 113-150
    • Zhang, L.B.1
  • 25
    • 0031534028 scopus 로고    scopus 로고
    • Digital physics simulation of lid-driven cavity flow
    • Teixeira C.M. Digital physics simulation of lid-driven cavity flow. International Journal of Modern Physics C 8 4 (1997) 685-696
    • (1997) International Journal of Modern Physics C , vol.8 , Issue.4 , pp. 685-696
    • Teixeira, C.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.