메뉴 건너뛰기




Volumn , Issue , 2003, Pages

Higher order schemes for the compressible Navier-Stokes equations

Author keywords

[No Author keywords available]

Indexed keywords

COMPRESSIBLE NAVIER-STOKES EQUATIONS; HIGHER ORDER ACCURACY; HIGHER ORDER SCHEMES; HIGHER-ORDER METHODS; NONLINEAR MECHANISMS; PRACTICAL SOLUTIONS;

EID: 84897584740     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (78)

References (41)
  • 1
    • 0001875110 scopus 로고
    • A grid generation and flow solution method for the Euler equations on unstructured grids
    • W. K. Anderson, A grid generation and flow solution method for the Euler equations on unstructured grids, J. Comp. Phys., 110 (1994), pp. 23-38.
    • (1994) J. Comp. Phys , vol.110 , pp. 23-38
    • Anderson, W.K.1
  • 8
    • 84966261380 scopus 로고
    • TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: The multidimensional case
    • B. Cockburn, S. Hou, and C. Shu, TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws IV: the multidimensional case, Math. Comp., 54 (1990), pp. 545-581.
    • (1990) Math. Comp , vol.54 , pp. 545-581
    • Cockburn, B.1    Hou, S.2    Shu, C.3
  • 9
    • 0001043157 scopus 로고
    • On optimal triangular meshes for minimizing gradient error
    • E. F. D'Azevedo and R. B. Simpson, On optimal triangular meshes for minimizing gradient error, Numerische Mathematik, 59 (1991), pp. 321-348.
    • (1991) Numerische Mathematik , vol.59 , pp. 321-348
    • D'Azevedo, E.F.1    Simpson, R.B.2
  • 13
    • 0021381876 scopus 로고
    • On a class of high-resolution total-variation-stable finite difference schemes
    • A. Harten, On a class of high-resolution total-variation-stable finite difference schemes, SIAM J. Numer. Anal., 21 (1984), pp. 1-23.
    • (1984) SIAM J. Numer. Anal , vol.21 , pp. 1-23
    • Harten, A.1
  • 15
    • 0000132756 scopus 로고    scopus 로고
    • The continuous Galerkin method is locally conservative
    • T. J. R. Hughes, G. Engel, L. Mazzei, and M. G. Larson, The continuous Galerkin method is locally conservative, J. Comp. Phys., 163 (2000), pp. 467-488.
    • (2000) J. Comp. Phys , vol.163 , pp. 467-488
    • Hughes, T.J.R.1    Engel, G.2    Mazzei, L.3    Larson, M.G.4
  • 16
    • 45149144830 scopus 로고
    • A new finite element formulation for computational fluid dynamics: VIII The Galerkin/least-squares method for advective-diffusive systems
    • T. J. R. Hughes, L. P. Franca, and G. M. Hulbert, A new finite element formulation for computational fluid dynamics: VIII The Galerkin/least-squares method for advective-diffusive systems, Comput. Methods Appl. Mech. Engrg, 73 (1989), pp. 173-189.
    • (1989) Comput. Methods Appl. Mech. Engrg , vol.73 , pp. 173-189
    • Hughes, T.J.R.1    Franca, L.P.2    Hulbert, G.M.3
  • 17
    • 0022811673 scopus 로고
    • A new finite element formulation for CFD: IV A discontinuity-capturing operator for multidimensional advective-diffusive systems
    • T. J. R. Hughes and M. Mallet, A new finite element formulation for CFD: IV A discontinuity-capturing operator for multidimensional advective-diffusive systems, Comput. Methods Appl. Mech. Engrg, 58 (1986), pp. 329-336.
    • (1986) Comput. Methods Appl. Mech. Engrg , vol.58 , pp. 329-336
    • Hughes, T.J.R.1    Mallet, M.2
  • 18
    • 0344047770 scopus 로고
    • Solution of the Euler equations by a multigrid method
    • A. Jameson, Solution of the Euler equations by a multigrid method, Applied Mathematics and Computation, 13 (1983), pp. 327-356.
    • (1983) Applied Mathematics and Computation , vol.13 , pp. 327-356
    • Jameson, A.1
  • 23
    • 45849084670 scopus 로고    scopus 로고
    • Directional agglomeration multigrid techniques for high Reynolds number viscous flow solver
    • D.J. Mavriplis, Directional agglomeration multigrid techniques for high Reynolds number viscous flow solver, AIAA J., 37 (1999), pp. 1220-1230.
    • (1999) AIAA J , vol.37 , pp. 1220-1230
    • Mavriplis, D.J.1
  • 24
    • 70350630547 scopus 로고
    • Mixed and hybrid methods
    • P. J. Ciarlet and J. L. Lions, eds., North Holland, Amsterdam
    • J. E. Roberts and J. M. Thomas, Mixed and hybrid methods, in Handbook of Numerical Analysis, P. J. Ciarlet and J. L. Lions, eds., North Holland, Amsterdam, 1991.
    • (1991) Handbook of Numerical Analysis
    • Roberts, J.E.1    Thomas, J.M.2
  • 25
    • 0022477699 scopus 로고
    • Characteristic-based schemes for the Euler equations
    • P. L. Roe, Characteristic-based schemes for the Euler equations, Ann. Rev. Fluid Mech., 18 (1986), pp. 337-365.
    • (1986) Ann. Rev. Fluid Mech , vol.18 , pp. 337-365
    • Roe, P.L.1
  • 27
    • 0001356712 scopus 로고
    • The node-centered finite volume approach: Bridge between finite differences and fi-nite elements
    • V. Selmin, The node-centered finite volume approach: Bridge between finite differences and fi-nite elements, Comput. Methods Appl. Mech. Engrg, 102 (1993), pp. 107-138.
    • (1993) Comput. Methods Appl. Mech. Engrg , vol.102 , pp. 107-138
    • Selmin, V.1
  • 28
    • 0024752479 scopus 로고
    • A multi-element group preconditioned gm-res algorithm for nonsymmetric problems arising in finite element analysis
    • F. Shakib, T. J. R. Hughes, and Z. Jo-han, A multi-element group preconditioned gm-res algorithm for nonsymmetric problems arising in finite element analysis, Comput. Methods Appl. Mech. Engrg, 87 (1989), pp. 415-456.
    • (1989) Comput. Methods Appl. Mech. Engrg , vol.87 , pp. 415-456
    • Shakib, F.1    Hughes, T.J.R.2    Jo-Han, Z.3
  • 29
    • 84966251037 scopus 로고
    • TVB uniformly high-order schemes for conservation laws
    • C. Shu, TVB uniformly high-order schemes for conservation laws, Math. Comp., 49 (1987), pp. 105-121.
    • (1987) Math. Comp , vol.49 , pp. 105-121
    • Shu, C.1
  • 30
    • 84966244348 scopus 로고
    • Multigrid discretization of monotone second-order discretizations of hyperbolic conservation laws
    • S. P. Spekreijse, Multigrid discretization of monotone second-order discretizations of hyperbolic conservation laws, Math. Comp., 45 (1987), pp. 135-155.
    • (1987) Math. Comp , vol.45 , pp. 135-155
    • Spekreijse, S.P.1
  • 33
    • 0001906210 scopus 로고
    • A comparative study of computational methods in cosmic gas dynamics
    • G. D. Van Albada, B. van Leer, and W. W. R oberts, A comparative study of computational methods in cosmic gas dynamics, Astronomy and Astrophysics, 108 (1982), pp. 76-84.
    • (1982) Astronomy and Astrophysics , vol.108 , pp. 76-84
    • Van Albada, G.D.1    van Leer, B.2    Roberts, W.W.3
  • 34
    • 2442433925 scopus 로고
    • Towards the ultimate conservative difference scheme V. A second order sequel to Godunov's method
    • B. van Leer, Towards the ultimate conservative difference scheme V. A second order sequel to Godunov's method, J. Comp. Phys., 32 (1979), pp. 101-136.
    • (1979) J. Comp. Phys , vol.32 , pp. 101-136
    • van Leer, B.1
  • 37
    • 0040075637 scopus 로고
    • Convergence to steady state solutions of the euler equations on unstructured grids with limiters
    • V. Venkatakrishnan, Convergence to steady state solutions of the euler equations on unstructured grids with limiters, J. Comp. Phys., 118 (1995), pp. 120-130.
    • (1995) J. Comp. Phys , vol.118 , pp. 120-130
    • Venkatakrishnan, V.1
  • 39
    • 0036570604 scopus 로고    scopus 로고
    • Spectral (finite) Volume method for conservation laws on unstructured grids. basic formulation
    • Z. J. Wang, Spectral (finite) Volume method for conservation laws on unstructured grids. basic formulation, J. Comp. Phys., 178 (2002), pp. 210-251.
    • (2002) J. Comp. Phys , vol.178 , pp. 210-251
    • Wang, Z.J.1
  • 40
    • 0036570604 scopus 로고    scopus 로고
    • Spectral (finite) Volume method for conservation laws on unstructured grids ii. extension to two-dimensional scalar equation
    • Z. J. Wang and Y. Liu, Spectral (finite) Volume method for conservation laws on unstructured grids ii. extension to two-dimensional scalar equation, J. Comp. Phys., 178 (2002), pp. 210-251.
    • (2002) J. Comp. Phys , vol.178 , pp. 210-251
    • Wang, Z.J.1    Liu, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.