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Volumn 218, Issue 1, 2006, Pages 159-199

Residual distribution schemes for advection and advection-diffusion problems on quadrilateral cells

Author keywords

Fourier analysis; Residual distribution schemes; Steady scalar conservation law; Truncation error analysis

Indexed keywords

ADVECTION; DAMPING; DIFFUSION; FOURIER ANALYSIS; FOURIER SERIES;

EID: 33748550272     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2006.02.003     Document Type: Article
Times cited : (19)

References (29)
  • 1
    • 85189849121 scopus 로고    scopus 로고
    • R. Struijs, H. Deconinck, P.L. Roe. Fluctuation Splitting schemes for the 2D Euler equations, in: VKI LS 1991-01, 1991.
  • 2
    • 0026965646 scopus 로고
    • Optimum positive linear schemes for advection in two and three dimensions
    • Roe P.L., and Sidilkover D. Optimum positive linear schemes for advection in two and three dimensions. SIAM J. Numer. Anal. 29 (1992) 1542-1588
    • (1992) SIAM J. Numer. Anal. , vol.29 , pp. 1542-1588
    • Roe, P.L.1    Sidilkover, D.2
  • 3
    • 85189850840 scopus 로고    scopus 로고
    • H. Paillere, Multidimensional upwind residual distribution schemes for the Euler and Navier-Stokes equations on unstructured grids, PhD thesis, von Karman Institute, 1995.
  • 4
    • 85189843360 scopus 로고    scopus 로고
    • G.T. Tomaich, A genuinely multi-dimensional upwinding algorithm for the Navier-Stokes equations on unstructured grids using a compact, highly parallelizable spacial discretization, PhD thesis, University of Michigan, 1995.
  • 5
    • 0030294143 scopus 로고    scopus 로고
    • Multidimensional upwind residual distribution schemes for the convection-diffusion equation
    • Paillere H., Boxho J., Degrez G., and Deconinck H. Multidimensional upwind residual distribution schemes for the convection-diffusion equation. Int. J. Numer. Methods Fluids 23 (1996) 923-936
    • (1996) Int. J. Numer. Methods Fluids , vol.23 , pp. 923-936
    • Paillere, H.1    Boxho, J.2    Degrez, G.3    Deconinck, H.4
  • 6
    • 0032641436 scopus 로고    scopus 로고
    • Fluctuation splitting schemes for multidimensional convection problems: an alternative to finite volume and finite element methods
    • vander Weide E., Deconinck H., Issman E., and Degrez G. Fluctuation splitting schemes for multidimensional convection problems: an alternative to finite volume and finite element methods. Comput. Mech. 23 (1999) 199-208
    • (1999) Comput. Mech. , vol.23 , pp. 199-208
    • vander Weide, E.1    Deconinck, H.2    Issman, E.3    Degrez, G.4
  • 7
    • 0000668444 scopus 로고    scopus 로고
    • Toward the ultimate conservative scheme: following the quest
    • Abgrall R. Toward the ultimate conservative scheme: following the quest. J. Comput. Phys. 167 (2001) 277-315
    • (2001) J. Comput. Phys. , vol.167 , pp. 277-315
    • Abgrall, R.1
  • 8
    • 1842733453 scopus 로고    scopus 로고
    • Construction of second-order accurate monotone and stable residual distribution schemes for steady problems
    • Abgrall R., and Mezine M. Construction of second-order accurate monotone and stable residual distribution schemes for steady problems. J. Comput. Phys. 195 (2004) 474-507
    • (2004) J. Comput. Phys. , vol.195 , pp. 474-507
    • Abgrall, R.1    Mezine, M.2
  • 9
    • 19044379980 scopus 로고    scopus 로고
    • A second-order accurate monotone implicit fluctuation splitting scheme for unsteady problems
    • De Palma P., Pascazio G., Rossiello G., and Napolitano M. A second-order accurate monotone implicit fluctuation splitting scheme for unsteady problems. J. Comput. Phys. 208 (2004) 1-33
    • (2004) J. Comput. Phys. , vol.208 , pp. 1-33
    • De Palma, P.1    Pascazio, G.2    Rossiello, G.3    Napolitano, M.4
  • 10
    • 0020209106 scopus 로고
    • A multiple grid scheme for solving the Euler equations
    • Ni R.-H. A multiple grid scheme for solving the Euler equations. AIAA J. 20 (1982) 1565-1572
    • (1982) AIAA J. , vol.20 , pp. 1565-1572
    • Ni, R.-H.1
  • 11
    • 85189847798 scopus 로고    scopus 로고
    • K.G. Powell, B. van Leer, A genuinely multi-dimensional upwind cell-vertex scheme for the Euler equations, AIAA Paper 89-0095, 1989.
  • 12
    • 85189848528 scopus 로고    scopus 로고
    • C.-C Rossow, Accurate solution of the 2-d Euler equations with an efficient cell-vertex upwind scheme, AIAA Paper 93-0071, 1993.
  • 13
    • 85189845047 scopus 로고    scopus 로고
    • E. van der Weide, H. Deconinck, Fluctuation splitting schemes for the Euler equations, in: K.W. Morton, M.J. Baines (Eds.), Numerical Methods for Fluid Dynamics V, 1996, pp. 623-630.
  • 14
    • 0037054350 scopus 로고    scopus 로고
    • A conservative formulation of the multidimensional upwind residual distribution schemes for general nonlinear conservation laws
    • Csík A., Ricchiuto M., and Deconinck H. A conservative formulation of the multidimensional upwind residual distribution schemes for general nonlinear conservation laws. J. Comput. Phys. 179 (2002) 286-312
    • (2002) J. Comput. Phys. , vol.179 , pp. 286-312
    • Csík, A.1    Ricchiuto, M.2    Deconinck, H.3
  • 15
    • 33748558830 scopus 로고    scopus 로고
    • Conservative multidimensional upwind residual distribution schemes for arbitrary finite elements
    • Srinivas K., Armfield S., and Morgan P. (Eds), Springer Verlag
    • Quintino T., Ricchiuto M., Csík A., Deconinck H., and Poedts S. Conservative multidimensional upwind residual distribution schemes for arbitrary finite elements. In: Srinivas K., Armfield S., and Morgan P. (Eds). Computational Fluid Dynamics (2002), Springer Verlag 88-93
    • (2002) Computational Fluid Dynamics , pp. 88-93
    • Quintino, T.1    Ricchiuto, M.2    Csík, A.3    Deconinck, H.4    Poedts, S.5
  • 16
    • 0027552804 scopus 로고
    • A multidimensional generalization of Roe's flux difference splitter for the Euler equations
    • Deconinck H., Roe P.L., and Struijs R. A multidimensional generalization of Roe's flux difference splitter for the Euler equations. Comput. Fluids 22 (1993) 215-222
    • (1993) Comput. Fluids , vol.22 , pp. 215-222
    • Deconinck, H.1    Roe, P.L.2    Struijs, R.3
  • 18
    • 9144220381 scopus 로고
    • Compact finite difference schemes with spectral-like resolution
    • Lele S.K. Compact finite difference schemes with spectral-like resolution. J. Comput. Phys. 103 (1992) 16-42
    • (1992) J. Comput. Phys. , vol.103 , pp. 16-42
    • Lele, S.K.1
  • 19
    • 0031570254 scopus 로고    scopus 로고
    • Wavenumber extended high-order upwind-biased finite-difference schemes for convective scalar transport
    • Li Y. Wavenumber extended high-order upwind-biased finite-difference schemes for convective scalar transport. J. Comput. Phys. 133 (1997) 235-255
    • (1997) J. Comput. Phys. , vol.133 , pp. 235-255
    • Li, Y.1
  • 20
    • 0019607241 scopus 로고
    • Streamline upwind Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
    • Brooks A., 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.1    Hughes, T.J.R.2
  • 21
    • 85189845232 scopus 로고    scopus 로고
    • P. De Palma, G. Pascazio, D.T. Rubino, M. Napolitano, Residual distribution schemes for advection-diffusion problems on quadrilateral cells, Paper AIAA-2005-4990, 2005.
  • 23
    • 85189849940 scopus 로고    scopus 로고
    • C. Hirsch, A general analysis of two-dimensional convection schemes, in: VKI LS 1991-01, 1991.
  • 24
    • 0000665727 scopus 로고
    • Compact high-order schemes for the Euler equations
    • Abarbanel S., and Kumar A. Compact high-order schemes for the Euler equations. J. Sci. Comput. 3 (1988) 275-288
    • (1988) J. Sci. Comput. , vol.3 , pp. 275-288
    • Abarbanel, S.1    Kumar, A.2
  • 25
    • 0036568456 scopus 로고    scopus 로고
    • Residual-based compact schemes for multidimensional hyperbolic systems of conservation laws
    • Lerat A., and Corre C. Residual-based compact schemes for multidimensional hyperbolic systems of conservation laws. Comput. Fluids 31 (2002) 639-661
    • (2002) Comput. Fluids , vol.31 , pp. 639-661
    • Lerat, A.1    Corre, C.2
  • 26
    • 85189848347 scopus 로고    scopus 로고
    • H. Nishikawa, P. Roe, On high-order fluctuation splitting schemes for Navier-Stokes equations, in: Proceedings of the Third International Conference on Computational Fluid Dynamics, ICCFD3, Toronto, July 2004.
  • 27
    • 3142638796 scopus 로고    scopus 로고
    • Generalized Fourier analyses of the advection-diffusion equation-Part I: one-dimensional domains
    • Christon M.A., Martinez M.J., and Voth T.E. Generalized Fourier analyses of the advection-diffusion equation-Part I: one-dimensional domains. Int. J. Numer. Methods Fluids 45 (2004) 839-887
    • (2004) Int. J. Numer. Methods Fluids , vol.45 , pp. 839-887
    • Christon, M.A.1    Martinez, M.J.2    Voth, T.E.3
  • 28
    • 3142566625 scopus 로고    scopus 로고
    • Generalized Fourier analyses of the advection-diffusion equation-Part II: two-dimensional domains
    • Voth T.E., Martinez M.J., and Christon M.A. Generalized Fourier analyses of the advection-diffusion equation-Part II: two-dimensional domains. Int. J. Numer. Methods Fluids 45 (2004) 889-920
    • (2004) Int. J. Numer. Methods Fluids , vol.45 , pp. 889-920
    • Voth, T.E.1    Martinez, M.J.2    Christon, M.A.3
  • 29
    • 0020195163 scopus 로고
    • The numerical treatment of advection: a performance comparison of current methods
    • Smith R.M., and Hutton A.G. The numerical treatment of advection: a performance comparison of current methods. Numer. Heat Transfer 5 (1982) 439-461
    • (1982) Numer. Heat Transfer , vol.5 , pp. 439-461
    • Smith, R.M.1    Hutton, A.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.