-
1
-
-
0004133851
-
-
Report RR-3989, INRIA Rocquencourt, Le Chesnay, France
-
E. AUDUSSE, M.-O. BRISTEAU, AND B. PERTHAME, Kinetic Schemes for Saint-Venant Equations with Source Terms on Unstructured Grids, Report RR-3989, INRIA Rocquencourt, Le Chesnay, France, 2000; available online from http://www.inria.fr/rrrt/rr-3989.html.
-
(2000)
Kinetic Schemes for Saint-venant Equations with Source Terms on Unstructured Grids
-
-
Audusse, E.1
Bristeau, M.-O.2
Perthame, B.3
-
3
-
-
0038746749
-
A wave propagation method for conservation laws and balance laws with spatially varying flux functions
-
D. S. BALE, R. J. LEVEQUE, S. MITRAN, AND J. A. ROSSMANITH, A wave propagation method for conservation laws and balance laws with spatially varying flux functions, SIAM J. Sci. Comput., 24 (2002), pp. 955-978.
-
(2002)
SIAM J. Sci. Comput.
, vol.24
, pp. 955-978
-
-
Bale, D.S.1
Leveque, R.J.2
Mitran, S.3
Rossmanith, J.A.4
-
4
-
-
0037234915
-
Equilibrium schemes for scalar conservation laws with stiff sources
-
R. BOTCHORISHVILI, B. PERTHAME, AND A. VASSEUR, Equilibrium schemes for scalar conservation laws with stiff sources, Math. Comp., 72 (2003), pp. 131-157.
-
(2003)
Math. Comp.
, vol.72
, pp. 131-157
-
-
Botchorishvili, R.1
Perthame, B.2
Vasseur, A.3
-
5
-
-
10244233725
-
Well-balanced finite volume methods for nearly hydrostatic flows
-
submitted. See also PIK-report 84, Potsdam Institute for Climate Impact Research, Potsdam, Germany
-
N. BOTTA, R. KLEIN, S. LANGENBERG, AND S. LÜTZENKIRCHEN, Well-balanced finite volume methods for nearly hydrostatic flows, J. Comput. Phys., submitted. (See also PIK-report 84, Potsdam Institute for Climate Impact Research, Potsdam, Germany, available online from http://www.pik-potsdam.de/reports.)
-
J. Comput. Phys.
-
-
Botta, N.1
Klein, R.2
Langenberg, S.3
Lützenkirchen, S.4
-
6
-
-
10244270313
-
Distinguished limits, multiple scales asymptotics, and numerics for atmospheric flows
-
Breckenridge, CO, American Meteorological Society, Boston, MA
-
N. BOTTA, R. KLEIN, AND A. OWINOH, Distinguished limits, multiple scales asymptotics, and numerics for atmospheric flows, in Proceedings of the 13th International Conference on Atmosphere-Ocean Fluid Dynamics, Breckenridge, CO, American Meteorological Society, Boston, MA, 2001.
-
(2001)
Proceedings of the 13th International Conference on Atmosphere-ocean Fluid Dynamics
-
-
Botta, N.1
Klein, R.2
Owinoh, A.3
-
7
-
-
10244241405
-
Nonlinear stability of finite volume methods for hyperbolic conservation laws, and well-balanced schemes for sources
-
Birkhäuser
-
F. BOUCHOT, Nonlinear Stability of Finite Volume Methods for Hyperbolic Conservation Laws, and Well-Balanced Schemes for Sources, Frontiers in Math., Birkhäuser, 2004.
-
(2004)
Frontiers in Math.
-
-
Bouchot, F.1
-
8
-
-
10244238538
-
Frontal geostrophic adjustment and nonlinearwave phenomena in one dimensional rotating shallow water. Part 2: High resolution numerical investigation
-
to appear
-
F. BOUCHUT, J. LESOMMER, AND V. ZEITLIN, Frontal geostrophic adjustment and nonlinearwave phenomena in one dimensional rotating shallow water. Part 2: High resolution numerical investigation, J. Fluid Mech., to appear.
-
J. Fluid Mech.
-
-
Bouchut, F.1
Lesommer, J.2
Zeitlin, V.3
-
9
-
-
0037715192
-
A new model of saint-venant and savage-hutter type for gravity driven shallow water flows
-
F. BOUCHUT, A. MANGENEY-CASTELNAU, B. PERTHAME, AND J.-P. VILOTTE, A new model of Saint-Venant and Savage-Hutter type for gravity driven shallow water flows, C. R. Acad. Sci. Paris Sér. I Math., 336 (2003), pp. 531-536.
-
(2003)
C. R. Acad. Sci. Paris Sér. I Math.
, vol.336
, pp. 531-536
-
-
Bouchut, F.1
Mangeney-Castelnau, A.2
Perthame, B.3
Vilotte, J.-P.4
-
10
-
-
1642320158
-
-
Report RR-4282, INRIA Rocquencourt, Le Chesnay, France
-
M.-O. BRISTEAU AND B. COUSSIN, Boundary conditions for the shallow water equations solved by kinetic schemes, Report RR-4282, INRIA Rocquencourt, Le Chesnay, France, 2001; available online from http://www.inria.fr/rrrt/rr-4282.html.
-
(2001)
Boundary Conditions for the Shallow Water Equations Solved by Kinetic Schemes
-
-
Bristeau, M.-O.1
Coussin, B.2
-
11
-
-
0037404907
-
Some approximate Godunov schemes to compute shallow-water equations with topography
-
T. GALLOUËT, J.-M. HÉRARD, AND N. SEGUIN, Some approximate Godunov schemes to compute shallow-water equations with topography, Computers and Fluids, 32 (2003), pp. 479-513.
-
(2003)
Computers and Fluids
, vol.32
, pp. 479-513
-
-
Gallouët, T.1
Hérard, J.-M.2
Seguin, N.3
-
12
-
-
85114329546
-
Numerical approximation of hyperbolic systems of conservation laws
-
Springer-Verlag, New York
-
E. GODLEWSKI AND P.-A. RAVIART, Numerical Approximation of Hyperbolic Systems of Conservation Laws, Appl. Math. Sci. 118, Springer-Verlag, New York, 1996.
-
(1996)
Appl. Math. Sci.
, vol.118
-
-
Godlewski, E.1
Raviart, P.-A.2
-
13
-
-
0034209981
-
A well-balanced flux-vector splitting scheme designed for hyperbolic systems of conservation laws with source terms
-
L. GOSSE, A well-balanced flux-vector splitting scheme designed for hyperbolic systems of conservation laws with source terms, Comput. Math. Appl., 39 (2000), pp. 135-159.
-
(2000)
Comput. Math. Appl.
, vol.39
, pp. 135-159
-
-
Gosse, L.1
-
14
-
-
0000711631
-
A well-balanced scheme designed for inhomogeneous scalar conservation laws
-
L. GOSSE AND A.-Y. LEROUX, A well-balanced scheme designed for inhomogeneous scalar conservation laws, C. R. Acad. Sci. Paris Sér. I Math., 323 (1996), pp. 543-546.
-
(1996)
C. R. Acad. Sci. Paris Sér. I Math.
, vol.323
, pp. 543-546
-
-
Gosse, L.1
Leroux, A.-Y.2
-
15
-
-
79955716290
-
Proceedings of the second workshop on dam-break wave simulation
-
Châtou, France
-
N. GOUTAL AND F. MAUREL, Proceedings of the Second Workshop on Dam-Break Wave Simulation, Technical report EDF/DER HE-43/97/016/B, Châtou, France, 1997.
-
(1997)
Technical Report
, vol.EDF-DER HE-43-97-016-B
-
-
Goutal, N.1
Maurel, F.2
-
16
-
-
1542576141
-
A well-balanced scheme for the numerical processing of source terms in hyperbolic equations
-
J. M. GREENBERG AND A.-Y. LEROUX, A well-balanced scheme for the numerical processing of source terms in hyperbolic equations, SIAM J. Numer. Anal., 33 (1996), pp. 1-16.
-
(1996)
SIAM J. Numer. Anal.
, vol.33
, pp. 1-16
-
-
Greenberg, J.M.1
Leroux, A.-Y.2
-
17
-
-
0029323645
-
Convergence of the 2 × 2 Godunov method for a general resonant nonlinear balance law
-
E. ISAACSON AND B. TEMPLE, Convergence of the 2 × 2 Godunov method for a general resonant nonlinear balance law, SIAM J. Appl. Math., 55 (1995), pp. 625-640.
-
(1995)
SIAM J. Appl. Math.
, vol.55
, pp. 625-640
-
-
Isaacson, E.1
Temple, B.2
-
18
-
-
0035537697
-
A steady-state capturing method for hyperbolic systems with geometrical source terms
-
S. JIN, A steady-state capturing method for hyperbolic systems with geometrical source terms, Math. Model. Numer. Anal., 35 (2001), pp. 631-645.
-
(2001)
Math. Model. Numer. Anal.
, vol.35
, pp. 631-645
-
-
Jin, S.1
-
21
-
-
10244228763
-
Riemann solvers for some hyperbolic problems with a source term
-
Actes du 30̀me Congrès d'Analyse Numérique: CANum '98 (Arles, 1998)
-
A.-Y. LEROUX, Riemann solvers for some hyperbolic problems with a source term, in Actes du 30̀me Congrès d'Analyse Numérique: CANum '98 (Arles, 1998), ESAIM Proc. 6, Soc. Math. Appl. Indust., Paris, 1999, pp. 75-90.
-
(1999)
ESAIM Proc. 6, Soc. Math. Appl. Indust., Paris
, vol.6
, pp. 75-90
-
-
Leroux, A.-Y.1
-
22
-
-
84884956721
-
Discrétisation des termes sources raides dans les problèmes hyperboliques
-
Ecoles CEAEDF-INRIA "problèmes non linéaires appliqués," INRIA Rocquencourt, Le Chesnay, France
-
A.-Y. LEROUX, Discrétisation des termes sources raides dans les problèmes hyperboliques, in Systèmes hyperboliques: Nouveaux schémas et nouvelles applications. Ecoles CEAEDF-INRIA "problèmes non linéaires appliqués," INRIA Rocquencourt, Le Chesnay, France, 1998; available online from http://www-gm3.univ-mrs.fr/~leroux/publications/ ay.le_roux.html.
-
(1998)
Systèmes Hyperboliques: Nouveaux Schémas et Nouvelles Applications
-
-
Leroux, A.-Y.1
-
24
-
-
0001315315
-
Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
-
R. J. LEVEQUE, Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm, J. Comput. Phys., 146 (1998), pp. 346365.
-
(1998)
J. Comput. Phys.
, vol.146
, pp. 346365
-
-
Leveque, R.J.1
-
25
-
-
0001682883
-
Nonlinear resonance for quasilinear hyperbolic equation
-
T.-P. LIU, Nonlinear resonance for quasilinear hyperbolic equation, J. Math. Phys., 28 (1987), pp. 2593-2602.
-
(1987)
J. Math. Phys.
, vol.28
, pp. 2593-2602
-
-
Liu, T.-P.1
-
26
-
-
10244230523
-
-
preprint
-
A. MANGENEY, J.-P. VILOTTE, AND M.-O. BRISTEAU, B. PERTHAME, C. SIMEONI, AND S. YERNINI, Numerical Modeling of Avalanches Based on Saint-Venant Equations Using a Kinetic Scheme, preprint.
-
Numerical Modeling of Avalanches Based on Saint-venant Equations Using a Kinetic Scheme
-
-
Mangeney, A.1
Vilotte, J.-P.2
Bristeau, M.-O.3
Perthame, B.4
Simeoni, C.5
Yernini, S.6
-
28
-
-
0012588539
-
A kinetic scheme for the Saint-Venant system with a source term
-
B. PERTHAME AND C. SIMEONI, A kinetic scheme for the Saint-Venant system with a source term, Calcolo, 38 (2001), pp. 201-231.
-
(2001)
Calcolo
, vol.38
, pp. 201-231
-
-
Perthame, B.1
Simeoni, C.2
-
29
-
-
0742302514
-
Convergence of the upwind Interface source method for hyperbolic conservation laws
-
T. Hou and E. Tadmor, eds., SpringerVerlag, Berlin
-
B. PERTHAME AND C. SIMEONI, Convergence of the upwind Interface source method for hyperbolic conservation laws, in Proceedings of Hyp2002, T. Hou and E. Tadmor, eds., SpringerVerlag, Berlin, 2003.
-
(2003)
Proceedings of Hyp2002
-
-
Perthame, B.1
Simeoni, C.2
-
30
-
-
84889809594
-
Riemann solvers and numerical methods for fluid dynamics
-
Springer-Verlag, Berlin
-
E. F. TORO, Riemann Solvers and Numerical Methods for Fluid Dynamics. A Practical Introduction, 2nd ed., Springer-Verlag, Berlin, 1999.
-
(1999)
A Practical Introduction, 2nd Ed.
-
-
Toro, E.F.1
-
31
-
-
0348194970
-
Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry
-
M. E. VAZQUEZ-CENDON, Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry, J. Comput. Phys., 148 (1999), pp. 497-526.
-
(1999)
J. Comput. Phys.
, vol.148
, pp. 497-526
-
-
Vazquez-Cendon, M.E.1
-
32
-
-
0037141036
-
Well-balanced gas-kinetic scheme for the shallow water equations with source terms
-
K. XU, well-balanced gas-kinetic scheme for the shallow water equations with source terms, J. Comput. Phys., 178 (2002), pp. 533-562.
-
(2002)
J. Comput. Phys.
, vol.178
, pp. 533-562
-
-
Xu, K.1
|