Contribution à l'étude théorique et numérique de certains systèmes de mécanique des fluides
Thèses d'Orsay, no. 745 (2008) , 118 p. 
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Adamy, Karine. Contribution à l'étude théorique et numérique de certains systèmes de mécanique des fluides. Thèses d'Orsay, no. 745 (2008), 118 p. http://numdam.org/item/BJHTUP11_2008__0745__A1_0/

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[1] E. Audusse, F. Bouchut, M-O. Bristeau, R. Klein, B. Perthame, A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows SIAM J. Sci. Comput. 25, 2004. | MR | Zbl | DOI

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[4] J. P. Chehab, Incremental unknowns method and compact schemes RAIRO Model. Math. Anal. Num. 32 (1), 1998. | MR | Zbl | Numdam

[5] M. Chen, R. Temam, Incremental unknowns for solving partial differential equations Numer. Math. 59, 1991. | MR | Zbl | DOI

[6] M. Chen, R. Temam, Incremental unknowns in finite differences : condition number of the matrix SIAM J. Matrix Anal. Appl. 14 (2), 1993. | MR | Zbl | DOI

[7] A. Debussche, J. Laminie, E. Zahrouni, A dynamical multi-level scheme for the Burgers equation : wavelet and hierarchical finite element J. Sci. Comput. 25 (3), 2005. | MR | Zbl | DOI

[8] T. Dubois, F. Jauberteau, R. Temam, Dynamic multilevel methods and the numerical simulation of turbulence Cambridge University Press, Cambridge, 1999. | MR | Zbl

[9] T. Dubois, F. Jauberteau, R. Temam, Incremental unknowns, multilevel methods and the numerical simulation of turbulence Comput. Methods Appl. Mech. Engrg. 159 (1-2), 1998. | MR | Zbl

[10] T. Dubois, F. Jauberteau, R. Temam, J. Tribbia, Multilevel schemes for the shallow water equations J. Comput. Phys. 207, 2005. | MR | Zbl | DOI

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[13] S. Faure, Méthodes de volumes finis et multiniveaux pour les équations de Navier-Stokes, de Burgers et de la chaleur, Thèse de Doctorat.

[14] T. Gallouët, J.M. Hérard, N. Seguin, Some approximate Godunov schemes to compute shallow-water equations with topography Comput. Fluids 32 (4), 2003. | MR | Zbl | DOI

[15] A. Kurganov, E. Tadmor, New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations, J. Comput. Phys. 160, 2000. | MR | Zbl

[16] A. Kurganov, G. Petrova, A third-order semi-discrete genuinely multidimensionnal central scheme for hyperbolic conservation laws and related problems Numer. Math. 88, 2001. | MR | Zbl | DOI

[17] A. Kurganov, S. Noelle, G. Petrova, Semidiscrete central upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations, SIAM J. Sci. Comput. 23, no3, 2001. | MR | Zbl | DOI

[18] A. Kurganov, D. Levy, Central-upwind schemes for the Saint-Venant system, M2AN, Vol. 36, no 3, 2002. | MR | Zbl | Numdam | DOI

[19] R. Temam, Inertial manifolds and multigrid methods SIAM J. Math. Anal., 21 (1), 1990. | MR | Zbl | DOI

[20] R. Temam, Multilevel methods for the simulation of turbulence. A simple model J. Comput. Phys., 127 (2), 1996. | MR | Zbl | DOI