메뉴 건너뛰기




Volumn 146, Issue 3-4, 1997, Pages 231-252

An anisotropic h-adaptive finite element method for compressible Navier-Stokes equations

Author keywords

[No Author keywords available]

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; ALGORITHMS; ASPECT RATIO; BOUNDARY LAYERS; CONVERGENCE OF NUMERICAL METHODS; ERROR CORRECTION; FINITE ELEMENT METHOD; INTERPOLATION; ITERATIVE METHODS; PROBLEM SOLVING; REYNOLDS NUMBER; VISCOUS FLOW;

EID: 0031194259     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(96)01230-3     Document Type: Article
Times cited : (18)

References (20)
  • 1
    • 0027684524 scopus 로고
    • An anisotropic h-type mesh-refinement strategy
    • W. Rachowicz, An anisotropic h-type mesh-refinement strategy, Comput. Methods Appl. Mech. Engrg. 109 (1993) 169-181.
    • (1993) Comput. Methods Appl. Mech. Engrg. , vol.109 , pp. 169-181
    • Rachowicz, W.1
  • 2
    • 0029405416 scopus 로고
    • An overlapping domain decomposition preconditioner for an anisotropic h-adaptive finite element method
    • W. Rachowicz, An overlapping domain decomposition preconditioner for an anisotropic h-adaptive finite element method, Comput. Methods Appl. Mech. Engrg. 127 (1995) 269-292.
    • (1995) Comput. Methods Appl. Mech. Engrg. , vol.127 , pp. 269-292
    • Rachowicz, W.1
  • 3
    • 0027593720 scopus 로고
    • SUPG finite element computation of compressible flows with the entropy and conservation variables formulations
    • G.J. Le Beau, S.E. Ray, S.K. Aliabadi and T.E. Tezduyar, SUPG finite element computation of compressible flows with the entropy and conservation variables formulations, Comput. Methods Appl. Mech. Engrg. 104 (1993) 397-422.
    • (1993) Comput. Methods Appl. Mech. Engrg. , vol.104 , pp. 397-422
    • Le Beau, G.J.1    Ray, S.E.2    Aliabadi, S.K.3    Tezduyar, T.E.4
  • 4
    • 0027277841 scopus 로고
    • SUPG finite element computation of viscous compressible flows based on the conservation and entropy variables formulations
    • S.K. Aliabadi, S.E. Ray and T.E. Tezduyar, SUPG finite element computation of viscous compressible flows based on the conservation and entropy variables formulations, Comput. Mech. 11 (1993) 300-312.
    • (1993) Comput. Mech. , vol.11 , pp. 300-312
    • Aliabadi, S.K.1    Ray, S.E.2    Tezduyar, T.E.3
  • 5
    • 0022146784 scopus 로고
    • On an h-type mesh-refinement strategy based on minimization of interpolation errors
    • L. Demkowicz, P. Devloo and J.T. Oden, On an h-type mesh-refinement strategy based on minimization of interpolation errors, Comput. Methods Appl. Mech. Engrg. 53 (1985) 67-89.
    • (1985) Comput. Methods Appl. Mech. Engrg. , vol.53 , pp. 67-89
    • Demkowicz, L.1    Devloo, P.2    Oden, J.T.3
  • 6
    • 0021441740 scopus 로고
    • The post-processing approach in the finite element method - Part 1: Calculation of displacements, stresses and other higher derivatives of the displacements
    • I. Babuška, Miller, The post-processing approach in the finite element method - Part 1: Calculation of displacements, stresses and other higher derivatives of the displacements, Int. J. Numer. Methods Engrg. 20 (1984) 1085-1109.
    • (1984) Int. J. Numer. Methods Engrg. , vol.20 , pp. 1085-1109
    • Babuška, I.1    Miller2
  • 8
    • 0025494150 scopus 로고
    • A posteriori error analysis in finite elements: The element residual method for symmetrizable problems with application to compressible euler and Navier-Stokes equations
    • J.T. Oden, ed.
    • J.T. Oden, L. Demkowicz, W. Rachowicz and T. Westermann, A posteriori error analysis in finite elements: the element residual method for symmetrizable problems with application to compressible Euler and Navier-Stokes equations, Comput. Methods Appl. Mech. Engrg. Special Issue: Reliability in Computational Mechanics, J.T. Oden, ed. 82 (1990) 183-204.
    • (1990) Comput. Methods Appl. Mech. Engrg. Special Issue: Reliability in Computational Mechanics , vol.82 , pp. 183-204
    • Oden, J.T.1    Demkowicz, L.2    Rachowicz, W.3    Westermann, T.4
  • 9
    • 0015095659 scopus 로고
    • On the calculation of consistent stress distributions in finite element applications
    • J.T. Oden and H.J. Brauchli, On the calculation of consistent stress distributions in finite element applications, Int. J. Numer. Methods Engrg. 3 (1971) 317-325.
    • (1971) Int. J. Numer. Methods Engrg. , vol.3 , pp. 317-325
    • Oden, J.T.1    Brauchli, H.J.2
  • 10
    • 0022663140 scopus 로고
    • A new finite element formulation for computational fluid dynamics: I. Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics
    • T.J.R. Hughes, L.P. Franca and M. Malet, A new finite element formulation for computational fluid dynamics: I. Symmetric forms of the compressible Euler and Navier-Stokes equations and the second law of thermodynamics, Comput. Methods Appl. Mech. Engrg. 34 (1986) 223-234.
    • (1986) Comput. Methods Appl. Mech. Engrg. , vol.34 , pp. 223-234
    • Hughes, T.J.R.1    Franca, L.P.2    Malet, M.3
  • 11
    • 0027640852 scopus 로고
    • Multiplicative Schwarz algorithms for some nonsymmetric and indefinite problems
    • X.-C. Cai and O.B. Widlund, Multiplicative Schwarz algorithms for some nonsymmetric and indefinite problems, SIAM J. Numer. Anal. 30 (1993) 936-952.
    • (1993) SIAM J. Numer. Anal. , vol.30 , pp. 936-952
    • Cai, X.-C.1    Widlund, O.B.2
  • 12
    • 84966225192 scopus 로고
    • Convergence estimates for product iterative methods with applications to domain decomposition
    • J.H. Bramble, J.E. Pasciak, J. Wang and J. Xu, Convergence estimates for product iterative methods with applications to domain decomposition, Math. Comput. 57 (195) (1991) 1-21.
    • (1991) Math. Comput. , vol.57 , Issue.195 , pp. 1-21
    • Bramble, J.H.1    Pasciak, J.E.2    Wang, J.3    Xu, J.4
  • 13
    • 0003922593 scopus 로고
    • An additive variant of the schwarz alternating method for the case of many subregions
    • Courant Institute of Mathematical Sciences
    • M. Dryja and O. Widlund, An additive variant of the Schwarz alternating method for the case of many subregions, Technical Report 339, Courant Institute of Mathematical Sciences, 1987.
    • (1987) Technical Report , vol.339
    • Dryja, M.1    Widlund, O.2
  • 14
    • 0001743874 scopus 로고
    • Domain decomposition algorithms for indefinite elliptic problems
    • X.-C. Cai and O.B. Widlund, Domain decomposition algorithms for indefinite elliptic problems, SIAM J. Sci. Stat. Comput. 13 (1992) 243-258.
    • (1992) SIAM J. Sci. Stat. Comput. , vol.13 , pp. 243-258
    • Cai, X.-C.1    Widlund, O.B.2
  • 15
    • 0026834715 scopus 로고
    • Adaptive implicit/explicit finite element method for compressible viscous flows
    • W.W. Tworzydlo, J.T. Oden and E.A. Thornton, Adaptive implicit/explicit finite element method for compressible viscous flows, Comput. Methods Appl. Mech. Engrg. 95 (1992) 397-440.
    • (1992) Comput. Methods Appl. Mech. Engrg. , vol.95 , pp. 397-440
    • Tworzydlo, W.W.1    Oden, J.T.2    Thornton, E.A.3
  • 16
    • 0038885383 scopus 로고
    • Theoretical and experimental studies of the shock wave-boundary layer interaction on compression surfaces in hypersonic flaw
    • University of Buffalo Research Center, January
    • M.S. Holden and J.R. Noselle, Theoretical and experimental studies of the shock wave-boundary layer interaction on compression surfaces in hypersonic flaw, CALSPAN Report ARL 70-0002, University of Buffalo Research Center, January 1970.
    • (1970) CALSPAN Report ARL 70-0002
    • Holden, M.S.1    Noselle, J.R.2
  • 20
    • 0022095709 scopus 로고
    • A simple extension to multidimensional problems of the artificial viscosity due to Lapidus
    • R. Löhner, K. Morgan and T. Peraire, A simple extension to multidimensional problems of the artificial viscosity due to Lapidus, Comput. Appl. Numer. Methods 2 (1985) 141-147.
    • (1985) Comput. Appl. Numer. Methods , vol.2 , pp. 141-147
    • Löhner, R.1    Morgan, K.2    Peraire, T.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.