메뉴 건너뛰기




Volumn 196, Issue 4-6, 2007, Pages 1108-1132

A discourse on Galilean invariance, SUPG stabilization, and the variational multiscale framework

Author keywords

Galilean transformations; Instabilities; Invariance; Stabilized methods; SUPG methods; Variational multiscale methods

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL OPERATORS; MATHEMATICAL TRANSFORMATIONS;

EID: 33750479536     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2006.08.012     Document Type: Article
Times cited : (37)

References (20)
  • 2
    • 0019607241 scopus 로고
    • Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
    • Brooks A.N., and Hughes T.J.R. Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis 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
    • 0020860514 scopus 로고
    • Arbitrary Lagrangian-Eulerian finite element methods
    • Belytschko T., and Hughes T.J.R. (Eds), Elsevier
    • Donea J. Arbitrary Lagrangian-Eulerian finite element methods. In: Belytschko T., and Hughes T.J.R. (Eds). Computational Methods in Transient Analysis (1983), Elsevier
    • (1983) Computational Methods in Transient Analysis
    • Donea, J.1
  • 5
    • 0035955571 scopus 로고    scopus 로고
    • Simple stabilizing matrices for the computation of compressible flows in primitive variables
    • Hauke G. Simple stabilizing matrices for the computation of compressible flows in primitive variables. Comput. Methods Appl. Mech. Engrg. 190 (2001) 6881-6893
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 6881-6893
    • Hauke, G.1
  • 6
    • 0028389044 scopus 로고
    • A unified approach to compressible and incompressible flows
    • Hauke G., and Hughes T.J.R. A unified approach to compressible and incompressible flows. Comput. Methods Appl. Mech. Engrg. 113 (1994) 389-396
    • (1994) Comput. Methods Appl. Mech. Engrg. , vol.113 , pp. 389-396
    • Hauke, G.1    Hughes, T.J.R.2
  • 7
    • 0031926098 scopus 로고    scopus 로고
    • A comparative study of different sets of variables for solving compressible and incompressible flows
    • Hauke G., and Hughes T.J.R. A comparative study of different sets of variables for solving compressible and incompressible flows. Comput. Methods Appl. Mech. Engrg. 153 (1998) 1-44
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.153 , pp. 1-44
    • Hauke, G.1    Hughes, T.J.R.2
  • 8
    • 0029405472 scopus 로고
    • Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid-scale models, bubbles and the origin of stabilized methods
    • Hughes T.J.R. Multiscale phenomena: Green's functions, the Dirichlet-to-Neumann formulation, subgrid-scale models, bubbles and the origin of stabilized methods. Comput. Methods Appl. Mech. Engrg. 127 (1995) 387-401
    • (1995) Comput. Methods Appl. Mech. Engrg. , vol.127 , pp. 387-401
    • Hughes, T.J.R.1
  • 11
    • 0001769879 scopus 로고    scopus 로고
    • Large eddy simulation and the variational multiscale method
    • Hughes T.J.R., Mazzei L., and Jansen K.E. Large eddy simulation and the variational multiscale method. Comput. Visualization Sci. 3 47 (2000) 147-162
    • (2000) Comput. Visualization Sci. , vol.3 , Issue.47 , pp. 147-162
    • Hughes, T.J.R.1    Mazzei, L.2    Jansen, K.E.3
  • 12
    • 0035065963 scopus 로고    scopus 로고
    • The multiscale formulation of large eddy simulation: decay of homogenous isotropic turbulence
    • Hughes T.J.R., Mazzei L., Oberai A.A., and Wray A.A. The multiscale formulation of large eddy simulation: decay of homogenous isotropic turbulence. Phys. Fluids 13 (2001) 505-512
    • (2001) Phys. Fluids , vol.13 , pp. 505-512
    • Hughes, T.J.R.1    Mazzei, L.2    Oberai, A.A.3    Wray, A.A.4
  • 13
    • 0035367170 scopus 로고    scopus 로고
    • Large eddy simulation of turbulent channel flows by the variational multiscale method
    • Hughes T.J.R., Oberai A.A., and Mazzei L. Large eddy simulation of turbulent channel flows by the variational multiscale method. Phys. Fluids 13 6 (2001) 1784-1799
    • (2001) Phys. Fluids , vol.13 , Issue.6 , pp. 1784-1799
    • Hughes, T.J.R.1    Oberai, A.A.2    Mazzei, L.3
  • 14
    • 21044438235 scopus 로고    scopus 로고
    • Multiscale and stabilized methods
    • Stein E., de Borst R., and Hughes T.J.R. (Eds), John Wiley & Sons
    • Hughes T.J.R., Scovazzi G., and Franca L.P. Multiscale and stabilized methods. In: Stein E., de Borst R., and Hughes T.J.R. (Eds). Encyclopedia of Computational Mechanics (2004), John Wiley & Sons
    • (2004) Encyclopedia of Computational Mechanics
    • Hughes, T.J.R.1    Scovazzi, G.2    Franca, L.P.3
  • 15
    • 33745638769 scopus 로고    scopus 로고
    • Effects of mesh motion on the stability and convergence of ALE based formulations for moving boundary flows
    • Masud A. Effects of mesh motion on the stability and convergence of ALE based formulations for moving boundary flows. Comput. Mech. 38 4-5 (2006) 430-439
    • (2006) Comput. Mech. , vol.38 , Issue.4-5 , pp. 430-439
    • Masud, A.1
  • 16
    • 33750469385 scopus 로고    scopus 로고
    • G. Scovazzi, Stabilized shock hydrodynamics: II. Design and physical interpretation of the SUPG operator for Lagrangian computations, Comput. Methods Appl. Mech. Engrg., in press, doi:10.1016/j.cma.2006.08.009.
  • 17
    • 33750435018 scopus 로고    scopus 로고
    • G. Scovazzi, M.A. Christon, T.J.R. Hughes, J.N. Shadid, Stabilized shock hydrodynamics: I.A Lagrangian method, Comput. Methods Appl. Mech. Engrg., accepted for publication.
  • 18
    • 77956849889 scopus 로고
    • Stabilized finite element formulations for incompressible flow computations
    • Tezduyar T.E. Stabilized finite element formulations for incompressible flow computations. Adv. Appl. Mech. 28 (1992) 1-44
    • (1992) Adv. Appl. Mech. , vol.28 , pp. 1-44
    • Tezduyar, T.E.1
  • 19
    • 0242338413 scopus 로고    scopus 로고
    • Computation of moving boundaries and interfaces and stabilization parameters
    • Tezduyar T.E. Computation of moving boundaries and interfaces and stabilization parameters. Int. J. Numer. Methods Fluids 43 (2003) 555-575
    • (2003) Int. J. Numer. Methods Fluids , vol.43 , pp. 555-575
    • Tezduyar, T.E.1
  • 20
    • 0026835076 scopus 로고
    • Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure element
    • Tezduyar T.E., Mittal S., Ray S.E., and Shih R. Incompressible flow computations with stabilized bilinear and linear equal-order-interpolation velocity-pressure element. Comput. Methods Appl. Mech. Engrg. 95 (1992) 221-242
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.95 , pp. 221-242
    • Tezduyar, T.E.1    Mittal, S.2    Ray, S.E.3    Shih, R.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.