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Volumn 196, Issue 4-6, 2007, Pages 967-978

Stabilized shock hydrodynamics: II. Design and physical interpretation of the SUPG operator for Lagrangian computations

Author keywords

Galilean transformations; Invariance; Kuropatenko viscosity; Lagrangian hydrodynamics; Linear viscosity; Stabilized methods; SUPG methods; Variational multiscale methods

Indexed keywords

COMPUTATIONAL METHODS; EQUATIONS OF STATE; MATHEMATICAL MODELS; MATHEMATICAL TRANSFORMATIONS; NUMERICAL METHODS; VISCOSITY;

EID: 33750469385     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2006.08.009     Document Type: Article
Times cited : (46)

References (15)
  • 1
    • 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
  • 2
    • 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
  • 3
    • 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
  • 4
    • 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
  • 7
    • 0022807116 scopus 로고
    • A new finite element formulation for computational fluid dynamics: III. The generalized streamline operator for multidimensional advective-diffusive systems
    • Hughes T.J.R., and Mallet M. A new finite element formulation for computational fluid dynamics: III. The generalized streamline operator for multidimensional advective-diffusive systems. Comput. Methods Appl. Mech. Engrg. 58 (1986) 305-328
    • (1986) Comput. Methods Appl. Mech. Engrg. , vol.58 , pp. 305-328
    • Hughes, T.J.R.1    Mallet, M.2
  • 8
    • 33749363876 scopus 로고
    • On difference methods for the equations of hydrodynamics
    • Janenko N.N. (Ed), American Mathematical Society, Providence, RI
    • Kuropatenko V.F. On difference methods for the equations of hydrodynamics. In: Janenko N.N. (Ed). Difference Methods for Solutions of Problems of Mathematical Physics, I (1967), American Mathematical Society, Providence, RI
    • (1967) Difference Methods for Solutions of Problems of Mathematical Physics, I
    • Kuropatenko, V.F.1
  • 9
    • 33750470988 scopus 로고    scopus 로고
    • G. Scovazzi, Multiscale methods in science and engineering, PhD thesis, Mechanical Engineering Department, Stanford University, September 2004. Available from: .
  • 10
    • 33750457004 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., in press, doi:10.1016/j.cma.2006.08.008.
  • 11
    • 0026206734 scopus 로고
    • A new finite element formulation for computational fluid dynamics: X. The compressible Euler and Navier-Stokes equations
    • Shakib F., Hughes T.J.R., and Johan Z. A new finite element formulation for computational fluid dynamics: X. The compressible Euler and Navier-Stokes equations. Comput. Methods Appl. Mech. Engrg. 89 (1991) 141-219
    • (1991) Comput. Methods Appl. Mech. Engrg. , vol.89 , pp. 141-219
    • Shakib, F.1    Hughes, T.J.R.2    Johan, Z.3
  • 12
    • 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
  • 13
    • 14344265708 scopus 로고    scopus 로고
    • Finite element methods for fluid dynamics with moving boundaries and interfaces
    • Stein E., de Borst R., and Hughes T.J.R. (Eds), John Wiley & Sons
    • Tezduyar T.E. Finite element methods for fluid dynamics with moving boundaries and interfaces. 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
    • Tezduyar, T.E.1
  • 14
    • 30944453025 scopus 로고    scopus 로고
    • Stabilization and shock-capturing parameters in SUPG formulation of compressible flows
    • Tezduyar T.E., and Senga M. Stabilization and shock-capturing parameters in SUPG formulation of compressible flows. Comput. Methods Appl. Mech. Engrg. 195 (2006) 1621-1632
    • (2006) Comput. Methods Appl. Mech. Engrg. , vol.195 , pp. 1621-1632
    • Tezduyar, T.E.1    Senga, M.2
  • 15
    • 36849141514 scopus 로고
    • A method for the numerical computation of hydrodynamic shocks
    • von Neumann J., and Richtmyer R.D. A method for the numerical computation of hydrodynamic shocks. J. Appl. Phys. 21 (1950) 232-237
    • (1950) J. Appl. Phys. , vol.21 , pp. 232-237
    • von Neumann, J.1    Richtmyer, R.D.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.