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Volumn 229, Issue 5, 2010, Pages 1425-1447

Discretisation of diffusive fluxes on hybrid grids

Author keywords

Consistence; Finite volume; Gradient reconstruction; Hybrid mesh; Stability

Indexed keywords

FINITE ELEMENT METHOD; HEAT TRANSFER; MESH GENERATION; PARTIAL DIFFERENTIAL EQUATIONS; VISCOUS FLOW;

EID: 72449207032     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2009.10.037     Document Type: Article
Times cited : (17)

References (44)
  • 1
    • 0004058410 scopus 로고
    • Aspects of unstructured grids and finite-volume solvers for the Euler and Navier-Stokes equations
    • Genèse, Belgium
    • T. Barth, Aspects of unstructured grids and finite-volume solvers for the Euler and Navier-Stokes equations, in: VKI Lecture Series 1994-05, Von Kármán Institute, Rhode-St.-Genèse, Belgium, 1995.
    • (1995) VKI Lecture Series 1994-05, Von Kármán Institute, Rhode-St
    • Barth, T.1
  • 4
    • 0003989246 scopus 로고
    • Finite volume Galerkin methods for viscous gas dynamics
    • Tech. Rep. RR-863, INRIA
    • P. Rostand, B. Stoufflet, Finite volume Galerkin methods for viscous gas dynamics, Tech. Rep. RR-863, INRIA (1988).
    • (1988)
    • Rostand, P.1    Stoufflet, B.2
  • 5
    • 2942757053 scopus 로고
    • Approximate Riemann solvers, parameter vectors and difference schemes
    • Roe P.L. Approximate Riemann solvers, parameter vectors and difference schemes. Journal of Computational Physics 43 2 (1981) 357-372
    • (1981) Journal of Computational Physics , vol.43 , Issue.2 , pp. 357-372
    • Roe, P.L.1
  • 6
    • 0003406897 scopus 로고
    • Steady Euler simulations using unstructured meshes
    • Geymonat J. (Ed), World Scientific (Ch. 2)
    • Dervieux A. Steady Euler simulations using unstructured meshes. In: Geymonat J. (Ed). Partial differential Equations of hyperbolic type and Applications (1987), World Scientific 34-112 (Ch. 2)
    • (1987) Partial differential Equations of hyperbolic type and Applications , pp. 34-112
    • Dervieux, A.1
  • 8
    • 0000776336 scopus 로고
    • A class of implicit upwind schemes for Euler simulations with unstructured meshes
    • Fezoui F., and Stoufflet B. A class of implicit upwind schemes for Euler simulations with unstructured meshes. Journal of Computational Physics 84 1 (1989) 174-206
    • (1989) Journal of Computational Physics , vol.84 , Issue.1 , pp. 174-206
    • Fezoui, F.1    Stoufflet, B.2
  • 9
    • 0013412304 scopus 로고
    • Fluid dynamics computation with NSC2KE. An user-guide. Release 1.0
    • Tech. Rep. RT-0164, INRIA
    • B. Mohammadi, Fluid dynamics computation with NSC2KE. An user-guide. Release 1.0., Tech. Rep. RT-0164, INRIA (1994).
    • (1994)
    • Mohammadi, B.1
  • 10
    • 70350322945 scopus 로고    scopus 로고
    • Finite volume methods
    • Ciarlet P., and Lions J. (Eds), North Holland
    • Eymard R., Gallouët T., and Herbin R. Finite volume methods. In: Ciarlet P., and Lions J. (Eds). Handbook of Numerical Analysis vol. VII (2000), North Holland 713-1020
    • (2000) Handbook of Numerical Analysis , vol.VII , pp. 713-1020
    • Eymard, R.1    Gallouët, T.2    Herbin, R.3
  • 13
    • 0036804745 scopus 로고    scopus 로고
    • Edge-based multigrid schemes and preconditioning for hybrid grids
    • Moinier P., Müller J., and Giles M. Edge-based multigrid schemes and preconditioning for hybrid grids. AIAA Journal 40 10 (2002) 1954-1960
    • (2002) AIAA Journal , vol.40 , Issue.10 , pp. 1954-1960
    • Moinier, P.1    Müller, J.2    Giles, M.3
  • 14
    • 0033079121 scopus 로고    scopus 로고
    • Finite volume discretization aspects for viscous flows on mixed unstructured grids
    • Haselbacher A., McGuirk J., and Page G. Finite volume discretization aspects for viscous flows on mixed unstructured grids. AIAA Journal 37 2 (1999) 177-184
    • (1999) AIAA Journal , vol.37 , Issue.2 , pp. 177-184
    • Haselbacher, A.1    McGuirk, J.2    Page, G.3
  • 15
    • 84983158674 scopus 로고
    • Unstructured viscous flow solution using adaptive hybrid grids
    • NASA Langley Research Center
    • M. Galle, Unstructured viscous flow solution using adaptive hybrid grids, ICASE/LaRC workshop on adaptive grid methods, NASA Langley Research Center (1995).
    • (1995) ICASE/LaRC workshop on adaptive grid methods
    • Galle, M.1
  • 16
    • 0038209435 scopus 로고    scopus 로고
    • An unstructured algorithm for high Reynolds number flows on highly stretched grids
    • Taylor C., and Cross J.T. (Eds), Pineridge Press
    • Crumpton P., Moinier P., and Giles M. An unstructured algorithm for high Reynolds number flows on highly stretched grids. In: Taylor C., and Cross J.T. (Eds). Numerical Methods in Laminar and Turbulent Flow (1997), Pineridge Press 561-572
    • (1997) Numerical Methods in Laminar and Turbulent Flow , pp. 561-572
    • Crumpton, P.1    Moinier, P.2    Giles, M.3
  • 17
    • 0035311246 scopus 로고    scopus 로고
    • Finite volume approximation of elliptic problems and convergence of an approximate gradient
    • Eymard R., Gallouët T., and Herbin R. Finite volume approximation of elliptic problems and convergence of an approximate gradient. Applied Numerical Mathematics 37 (2001) 31-53
    • (2001) Applied Numerical Mathematics , vol.37 , pp. 31-53
    • Eymard, R.1    Gallouët, T.2    Herbin, R.3
  • 18
    • 0001822084 scopus 로고
    • Cell vertex algorithms for the compressible Navier-Stokes equations
    • Crumpton P., Mackenzie J., and Morton K. Cell vertex algorithms for the compressible Navier-Stokes equations. Journal of Computational Physics 109 1 (1993) 1-15
    • (1993) Journal of Computational Physics , vol.109 , Issue.1 , pp. 1-15
    • Crumpton, P.1    Mackenzie, J.2    Morton, K.3
  • 19
    • 72449159717 scopus 로고    scopus 로고
    • A finite element operator for diffusion terms in AVBP
    • Tech. Rep, Institut Français du Pétrole
    • O. Colin, A finite element operator for diffusion terms in AVBP, Tech. Rep., Institut Français du Pétrole (2003).
    • (2003)
    • Colin, O.1
  • 20
    • 85190188804 scopus 로고    scopus 로고
    • The AVBP handbook
    • CERFACS CFD Team, Tech. Rep, CERFACS
    • CERFACS CFD Team, The AVBP handbook, Tech. Rep., CERFACS (2007).
    • (2007)
  • 21
    • 0027662733 scopus 로고
    • Upwind finite-volume Navier-Stokes computation on unstructured triangular meshes
    • Pan D., and Cheng J. Upwind finite-volume Navier-Stokes computation on unstructured triangular meshes. AIAA Journal 31 9 (1993) 1618-1625
    • (1993) AIAA Journal , vol.31 , Issue.9 , pp. 1618-1625
    • Pan, D.1    Cheng, J.2
  • 22
    • 0003208385 scopus 로고
    • A robust finite-volume method for computations of two-dimensional unstructured hybrid meshes
    • S. Wagner, E.H. Hirschel, J. Priaux, R. Riva Eds, Wiley, New York
    • L. Flandrin, P. Charrier, B. Dubroca, A robust finite-volume method for computations of two-dimensional unstructured hybrid meshes, in: S. Wagner, E.H. Hirschel, J. Priaux, R. Riva (Eds.), Computational Fluid Dynamics'94, Wiley, New York, 1994, pp. 301-308.
    • (1994) Computational Fluid Dynamics'94 , pp. 301-308
    • Flandrin, L.1    Charrier, P.2    Dubroca, B.3
  • 23
    • 0004058412 scopus 로고
    • An adaptatively-refined, cartesian, cell-based scheme for the Euler and Navier-Stokes equations
    • Tech. Rep. TM-106754, NASA
    • J. Coirier, An adaptatively-refined, cartesian, cell-based scheme for the Euler and Navier-Stokes equations, Tech. Rep. TM-106754, NASA (1994).
    • (1994)
    • Coirier, J.1
  • 24
    • 57649096944 scopus 로고    scopus 로고
    • Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes
    • Lipnikov K., Svyatskiy D., and Vassilevski Y. Interpolation-free monotone finite volume method for diffusion equations on polygonal meshes. Journal of Computational Physics 228 3 (2009) 703-716
    • (2009) Journal of Computational Physics , vol.228 , Issue.3 , pp. 703-716
    • Lipnikov, K.1    Svyatskiy, D.2    Vassilevski, Y.3
  • 27
    • 85190189047 scopus 로고    scopus 로고
    • Contribution à la modélisation d'écoulements hypersoniques particulaires
    • Ph.D. Thesis, Université de Sciences et Technologies de Bordeaux
    • M. Papin, Contribution à la modélisation d'écoulements hypersoniques particulaires. Etude et validation d'un modèle diphasique discret., Ph.D. Thesis, Université de Sciences et Technologies de Bordeaux 1 (2005).
    • (2005) Etude et validation d'un modèle diphasique discret , pp. 1
    • Papin, M.1
  • 28
    • 85190232977 scopus 로고    scopus 로고
    • W. Reed, T. Hill, Triangular mesh methods for the neutron transport equation, Tech. Rep. LA-UR-73-479, Los Alamos Scientific Laboratory (1973).
    • W. Reed, T. Hill, Triangular mesh methods for the neutron transport equation, Tech. Rep. LA-UR-73-479, Los Alamos Scientific Laboratory (1973).
  • 29
    • 84951671794 scopus 로고
    • Über ein Variationsprinzip zur Lösung von Dirichlet-Problemem bei Verwendung von Teilräumen, die keinen Ransbedingungen unterworfen sind
    • J. Nitsche, Über ein Variationsprinzip zur Lösung von Dirichlet-Problemem bei Verwendung von Teilräumen, die keinen Ransbedingungen unterworfen sind, in: Abhandlungen aus dem mathematischen Seminar der Unisertität Hamburg, No. 36, 1971, pp. 200-212.
    • (1971) Abhandlungen aus dem mathematischen Seminar der Unisertität Hamburg , Issue.36 , pp. 200-212
    • Nitsche, J.1
  • 30
    • 84966246413 scopus 로고
    • Tvb Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. II: General framework
    • Cockburn B., and Shu C. Tvb Runge-Kutta local projection discontinuous Galerkin finite element method for conservation laws. II: General framework. Mathematics of Computation 52 186 (1989) 411-435
    • (1989) Mathematics of Computation , vol.52 , Issue.186 , pp. 411-435
    • Cockburn, B.1    Shu, C.2
  • 31
    • 2442433925 scopus 로고
    • Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
    • van Leer B. Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method. Journal of Computational Physics 32 1 (1979) 101-136
    • (1979) Journal of Computational Physics , vol.32 , Issue.1 , pp. 101-136
    • van Leer, B.1
  • 32
    • 0036410391 scopus 로고    scopus 로고
    • Unified analysis of discontinuous Galerkin methods for elliptic problems
    • Arnold D., Brezzi F., Cockburn B., and Marini L. Unified analysis of discontinuous Galerkin methods for elliptic problems. SIAM Journal of Numerical Analysis 39 5 (2002) 1749-1779
    • (2002) SIAM Journal of Numerical Analysis , vol.39 , Issue.5 , pp. 1749-1779
    • Arnold, D.1    Brezzi, F.2    Cockburn, B.3    Marini, L.4
  • 33
    • 0037357292 scopus 로고    scopus 로고
    • An analysis of three different formulations of the discontinuous Galerkin method for diffusion equations
    • Zhang M., and Shu C. An analysis of three different formulations of the discontinuous Galerkin method for diffusion equations. Mathematical Models and Methods in Applied Sciences 13 3 (2003) 395-413
    • (2003) Mathematical Models and Methods in Applied Sciences , vol.13 , Issue.3 , pp. 395-413
    • Zhang, M.1    Shu, C.2
  • 35
    • 34248593303 scopus 로고    scopus 로고
    • A contribution to the construction of diffusion fluxes for finite volume and discontinuous Galerkin schemes
    • Gassner G., Lörcher F., and Munz C. A contribution to the construction of diffusion fluxes for finite volume and discontinuous Galerkin schemes. Journal of Computational Physics 224 2 (2007) 1049-1063
    • (2007) Journal of Computational Physics , vol.224 , Issue.2 , pp. 1049-1063
    • Gassner, G.1    Lörcher, F.2    Munz, C.3
  • 37
    • 0343517435 scopus 로고    scopus 로고
    • Steady and unsteady flows simulations using the hybrid flow solver AVBP
    • Schönfeld T., and Rudgyard M. Steady and unsteady flows simulations using the hybrid flow solver AVBP. AIAA Journal 37 11 (1999) 1378-1385
    • (1999) AIAA Journal , vol.37 , Issue.11 , pp. 1378-1385
    • Schönfeld, T.1    Rudgyard, M.2
  • 38
    • 84962162166 scopus 로고    scopus 로고
    • A mixed volume grid approach for the Euler and Navier-Stokes equations
    • Reno, AIAA Paper 96-0762, January
    • J. Coirier, C.P. Jorgenson, A mixed volume grid approach for the Euler and Navier-Stokes equations, in: AIAA, 34th Aerospace Sciences Meeting and Exhibit, Reno, AIAA Paper 96-0762, January 1996.
    • (1996) AIAA, 34th Aerospace Sciences Meeting and Exhibit
    • Coirier, J.1    Jorgenson, C.P.2
  • 39
    • 34248576223 scopus 로고    scopus 로고
    • A cell-centered diffusion scheme on two-dimensional unstructured meshes
    • Breil J., and Maire P.-H. A cell-centered diffusion scheme on two-dimensional unstructured meshes. Journal of Computational Physics 224 2 (2007) 785-823
    • (2007) Journal of Computational Physics , vol.224 , Issue.2 , pp. 785-823
    • Breil, J.1    Maire, P.-H.2
  • 40
    • 85190215235 scopus 로고    scopus 로고
    • Source files of NSC2KE. <>
    • Source files of NSC2KE. .
  • 41
    • 42649098889 scopus 로고    scopus 로고
    • An explicit discontinuous Galerkin scheme with local time-stepping for general unsteady diffusion equations
    • Lörcher F., Gassner G., and Munz C. An explicit discontinuous Galerkin scheme with local time-stepping for general unsteady diffusion equations. Journal of Computational Physics 227 11 (2008) 5649-5670
    • (2008) Journal of Computational Physics , vol.227 , Issue.11 , pp. 5649-5670
    • Lörcher, F.1    Gassner, G.2    Munz, C.3
  • 42
    • 0037910684 scopus 로고
    • Reynolds stress transport modelling of transonic flow around the RAE2822 airfoil
    • Reno, AIAA Paper 94-0309, January
    • T. Hellström, L. Davidson, A. Rizzi, Reynolds stress transport modelling of transonic flow around the RAE2822 airfoil, in: AIAA, 32nd Aerospace Sciences Meeting, Reno, AIAA Paper 94-0309, January 1994.
    • (1994) AIAA, 32nd Aerospace Sciences Meeting
    • Hellström, T.1    Davidson, L.2    Rizzi, A.3
  • 43
    • 85190230884 scopus 로고    scopus 로고
    • An European initiative on validation of CFD-codes, in: W. Haase, F. Brandsma, E. Elsholtz, M. Leschziner, D. Schwamborn Eds, Notes on Numerical Fluid Mechanics, Vieweg Verlag, 1993
    • An European initiative on validation of CFD-codes, in: W. Haase, F. Brandsma, E. Elsholtz, M. Leschziner, D. Schwamborn (Eds.), Notes on Numerical Fluid Mechanics, Vieweg Verlag, 1993.


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