메뉴 건너뛰기




Volumn 71, Issue 11, 2007, Pages 1342-1364

A discontinuous Galerkin method for a hyperbolic model for convection-diffusion problems in CFD

Author keywords

Cattaneo's equation; Convection diffusion; Discontinuous Galerkin; Finite speed; Hyperbolic diffusion

Indexed keywords

DIFFUSION; GALERKIN METHODS; HEAT CONVECTION; MATHEMATICAL MODELS;

EID: 34548580362     PISSN: 00295981     EISSN: 10970207     Source Type: Journal    
DOI: 10.1002/nme.1996     Document Type: Article
Times cited : (22)

References (29)
  • 1
    • 0003630916 scopus 로고
    • Triangular mesh methods for the neutron transport equation
    • Technical Report LA-UR-73-479, Los Alamos Scientific Laboratory
    • Reed WH, Hill TR. Triangular mesh methods for the neutron transport equation. Technical Report LA-UR-73-479, Los Alamos Scientific Laboratory, 1973.
    • (1973)
    • Reed, W.H.1    Hill, T.R.2
  • 3
    • 84966246413 scopus 로고
    • Runge-Kutta local projection discontinuous Galerkin finite element method for scalar conservation laws II: General framework
    • Cockburn B, Shu C-W. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for scalar conservation laws II: general framework. Mathematics of Computation 1989; 52:411-435.
    • (1989) Mathematics of Computation , vol.52 , pp. 411-435
    • Cockburn, B.1    Shu, C.-W.T.2
  • 4
    • 45249130080 scopus 로고
    • Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: One-dimensional systems
    • Cockburn B, Lin S-Y, Shu C-W. TVB Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws III: one-dimensional systems. Journal of Computational Physics 1989; 84:90-113.
    • (1989) Journal of Computational Physics , vol.84 , pp. 90-113
    • Cockburn, B.1    Lin, S.-Y.2    Shu, C.-W.T.3
  • 5
    • 0001690553 scopus 로고    scopus 로고
    • The Runge-Kutta discontinuous Galerkin finite element method for conservation laws V: Multidimensional systems
    • Cockburn B, Shu C-W. The Runge-Kutta discontinuous Galerkin finite element method for conservation laws V: multidimensional systems. Journal of Computational Physics 1998; 141:199-224.
    • (1998) Journal of Computational Physics , vol.141 , pp. 199-224
    • Cockburn, B.1    Shu, C.-W.2
  • 6
    • 0000076512 scopus 로고    scopus 로고
    • Runge-Kutta discontinuous Galerkin methods for convection dominated flows
    • Cockburn B, Shu C-W. Runge-Kutta discontinuous Galerkin methods for convection dominated flows. Journal of Scientific Computing 2001; 16(3):173-261.
    • (2001) Journal of Scientific Computing , vol.16 , Issue.3 , pp. 173-261
    • Cockburn, B.1    Shu, C.-W.2
  • 7
    • 0001416032 scopus 로고    scopus 로고
    • A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations
    • Bassi F, Rebay S. A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier-Stokes equations. Journal of Computational Physics 1997; 131:267-279.
    • (1997) Journal of Computational Physics , vol.131 , pp. 267-279
    • Bassi, F.1    Rebay, S.2
  • 8
    • 0344393366 scopus 로고    scopus 로고
    • The local discontinuous Galerkin method for time-dependent convection-diffusion systems
    • Cockburn B, Shu C-W. The local discontinuous Galerkin method for time-dependent convection-diffusion systems. SIAM Journal on Numerical Analysis 1998; 35(6):2440-2463.
    • (1998) SIAM Journal on Numerical Analysis , vol.35 , Issue.6 , pp. 2440-2463
    • Cockburn, B.1    Shu, C.-W.2
  • 11
    • 0037252566 scopus 로고    scopus 로고
    • Performance of discontinuous Galerkin methods for elliptic PDEs
    • Castillo P. Performance of discontinuous Galerkin methods for elliptic PDEs. SIAM Journal on Scientific Computing 2002; 24(2):524-547.
    • (2002) SIAM Journal on Scientific Computing , vol.24 , Issue.2 , pp. 524-547
    • Castillo, P.1
  • 12
    • 0034548629 scopus 로고    scopus 로고
    • An a priori error analysis of the local discontinuous Galerkin method for elliptic problems
    • Castillo P, Cockburn B, Perugia I, Schötzau D. An a priori error analysis of the local discontinuous Galerkin method for elliptic problems. SIAM Journal on Numerical Analysis 2000; 38(5):1676-1706.
    • (2000) SIAM Journal on Numerical Analysis , vol.38 , Issue.5 , pp. 1676-1706
    • Castillo, P.1    Cockburn, B.2    Perugia, I.3    Schötzau, D.4
  • 14
    • 0000366367 scopus 로고
    • Sur une forme de l'equation de la chaleur éliminant le paradoxe d'une propagation instantaneé
    • Cattaneo MC. Sur une forme de l'equation de la chaleur éliminant le paradoxe d'une propagation instantaneé. Comptes Rendus de L'Academie des Sciences: Series I-Mathematics 1958; 247:431-433.
    • (1958) Comptes Rendus de L'Academie des Sciences: Series I-Mathematics , vol.247 , pp. 431-433
    • Cattaneo, M.C.1
  • 16
    • 34548586318 scopus 로고    scopus 로고
    • A new formulation for the advective-diffusive transport problem
    • Technical Report in Spanish, University of A Coruña
    • Gómez H. A new formulation for the advective-diffusive transport problem. Technical Report (in Spanish), University of A Coruña, 2003. http://caminos.udc.es/gmni/index.html
    • (2003)
    • Gómez, H.1
  • 17
    • 18144400068 scopus 로고    scopus 로고
    • Heat conduction paradox involving second-sound propagation in moving media
    • Christov CI, Jordan PM. Heat conduction paradox involving second-sound propagation in moving media. Physical Review Letters 2005; 94(15):4301-4304.
    • (2005) Physical Review Letters , vol.94 , Issue.15 , pp. 4301-4304
    • Christov, C.I.1    Jordan, P.M.2
  • 23
    • 45449125925 scopus 로고
    • Efficient implementation of essentially non-oscillatory shock-capturing schemes
    • Shu C-W, Osher S. Efficient implementation of essentially non-oscillatory shock-capturing schemes. Journal of Computational Physics 1988; 77:439-471.
    • (1988) Journal of Computational Physics , vol.77 , pp. 439-471
    • Shu, C.-W.1    Osher, S.2
  • 24
    • 33750384397 scopus 로고    scopus 로고
    • Weak imposition of Dirichlet boundary conditions in fluid mechanics
    • Bazilevs Y, Hughes TJR. Weak imposition of Dirichlet boundary conditions in fluid mechanics. Computers and Fluids 2007; 36(1):12-26.
    • (2007) Computers and Fluids , vol.36 , Issue.1 , pp. 12-26
    • Bazilevs, Y.1    Hughes, T.J.R.2
  • 27
    • 0019607241 scopus 로고
    • Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations
    • Brooks A, Hughes TJR. Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations. Computer Methods in Applied Mechanics and Engineering 1982; 32(1-3):199-259.
    • (1982) Computer Methods in Applied Mechanics and Engineering , vol.32 , Issue.1-3 , pp. 199-259
    • Brooks, A.1    Hughes, T.J.R.2
  • 28
    • 34548576285 scopus 로고    scopus 로고
    • Figueroa CA, Colominas I, Mosqueira G, Navarrina F, Casteleiro M. A stabilized finite element approach for advective-diffusive transport problems. In Proceedings of the XX Iberian Latin-American Congress on Computational Methods in Engineering (CDROM), Pimenta PM, Brasil R, Almeida E (eds), São Paulo, Brasil, 1999.
    • Figueroa CA, Colominas I, Mosqueira G, Navarrina F, Casteleiro M. A stabilized finite element approach for advective-diffusive transport problems. In Proceedings of the XX Iberian Latin-American Congress on Computational Methods in Engineering (CDROM), Pimenta PM, Brasil R, Almeida E (eds), São Paulo, Brasil, 1999.
  • 29
    • 0013304220 scopus 로고    scopus 로고
    • Diffusion and dispersion
    • Singh VP, Hager WH eds, Kluwer Academic Publishers: Dordrecht
    • Holley ER. Diffusion and dispersion. In Environmental Hydraulics, Singh VP, Hager WH (eds). Kluwer Academic Publishers: Dordrecht, 1996; 111-151.
    • (1996) Environmental Hydraulics , pp. 111-151
    • Holley, E.R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.