-
1
-
-
0032030398
-
Upwind schemes for the two-dimensional shallow water equations with variable depth using unstructured meshes
-
A. Bermúdez, A. Dervieux, J. A. Désidéri, and M. E. Vázquez, Upwind schemes for the two-dimensional shallow water equations with variable depth using unstructured meshes, Comput. Methods Appl. Mech. Engrg., 155 (1998), pp. 49-72.
-
(1998)
Comput. Methods Appl. Mech. Engrg.
, vol.155
, pp. 49-72
-
-
Bermúdez, A.1
Dervieux, A.2
Désidéri, J.A.3
Vázquez, M.E.4
-
2
-
-
0028534347
-
Upwind methods for hyperbolic conservation laws with source terms
-
A. Bermúdez and M. E. Vázquez, Upwind methods for hyperbolic conservation laws with source terms, Comput. & Fluids, 23 (1994), pp. 1049-1071.
-
(1994)
Comput. & Fluids
, vol.23
, pp. 1049-1071
-
-
Bermúdez, A.1
Vázquez, M.E.2
-
3
-
-
4344655139
-
Transport of pollutant in shallow water using kinetic schemes
-
M. O. Bristeau and B. Perthame, Transport of pollutant in shallow water using kinetic schemes, in CEMRACS 1999, ESAIM Proc. 10, Soc. Math. Appl. Indust., Paris, 1999, pp. 9-21.
-
CEMRACS 1999, ESAIM Proc. 10, Soc. Math. Appl. Indust., Paris, 1999
, pp. 9-21
-
-
Bristeau, M.O.1
Perthame, B.2
-
4
-
-
0035975580
-
Efficient construction of high-resolution TVD conservative schemes for equations with source terms: Application to shallow water flows
-
J. Burguete and P. García-Navarro, Efficient construction of high-resolution TVD conservative schemes for equations with source terms: Application to shallow water flows, Internat. J. Numer. Methods Fluids, 37 (2001), pp. 209-248.
-
(2001)
Internat. J. Numer. Methods Fluids
, vol.37
, pp. 209-248
-
-
Burguete, J.1
García-Navarro, P.2
-
5
-
-
0004090585
-
A new general riemann solver for the shallow water equations, with friction and topography
-
A. Chinnaya and A.-Y. LeRoux, A New General Riemann Solver for the Shallow Water Equations, with Friction and Topography, http://www.math.ntnu.no/conservation/1999/021.html
-
-
-
Chinnaya, A.1
LeRoux, A.-Y.2
-
6
-
-
0001522672
-
Definition and weak stability of a non-conservative product
-
G. Dal Maso, P. G. LeFloch, and F. Murat, Definition and weak stability of a non-conservative product, J. Math. Pures Appl. (9), 74 (1995), pp. 483-548.
-
(1995)
J. Math. Pures Appl.
, vol.74
, Issue.9
, pp. 483-548
-
-
Dal Maso, G.1
LeFloch, P.G.2
Murat, F.3
-
7
-
-
0026929713
-
1-d open-channel flow simulation using TVD-McCormack scheme
-
P. García-Navarro, F. Alcrudo, and J. M. Saviroón, 1-d open-channel flow simulation using TVD-McCormack scheme, J. Hydraulic Engineering, 118 (1992), pp. 1359-1372.
-
(1992)
J. Hydraulic Engineering
, vol.118
, pp. 1359-1372
-
-
García-Navarro, P.1
Alcrudo, F.2
Saviroón, J.M.3
-
8
-
-
0033838423
-
On numerical treatment of the source terms in the shallow water equations
-
P. García-Navarro and M. E. Vázquez-Cendón, On numerical treatment of the source terms in the shallow water equations, Comput. & Fluids, 29 (2000), pp. 951-979.
-
(2000)
Comput. & Fluids
, vol.29
, pp. 951-979
-
-
García-Navarro, P.1
Vázquez-Cendón, M.E.2
-
9
-
-
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
-
10
-
-
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
-
11
-
-
0035590547
-
A well-balanced scheme using non-conservative products designed for hyperbolic systems of conservation laws with source terms
-
L. Gosse, A well-balanced scheme using non-conservative products designed for hyperbolic systems of conservation laws with source terms, Math. Models Methods Appl. Sci., 11 (2001), pp. 339-365.
-
(2001)
Math. Models Methods Appl. Sci.
, vol.11
, pp. 339-365
-
-
Gosse, L.1
-
12
-
-
0000876320
-
On upstream differencing and Godunov-type schemes for hyperbolic conservation laws
-
A. Harten, P. D. Lax, and B. Van Leer, On upstream differencing and Godunov-type schemes for hyperbolic conservation laws, SIAM Rev., 25 (1983), pp. 35-61.
-
(1983)
SIAM Rev.
, vol.25
, pp. 35-61
-
-
Harten, A.1
Lax, P.D.2
Van Leer, B.3
-
13
-
-
0011032642
-
Flux difference splitting and the balancing of source terms and flux gradients
-
M. E. Hubbard and P. García-Navarro, Flux difference splitting and the balancing of source terms and flux gradients, J. Comput. Phys., 165 (2000), pp. 89-112.
-
(2000)
J. Comput. Phys.
, vol.165
, pp. 89-112
-
-
Hubbard, M.E.1
García-Navarro, P.2
-
14
-
-
0001222654
-
Rankine-Hugoniot-Riemann solver considering source terms and multidimensional effects
-
P. Jenny and B. Müller, Rankine-Hugoniot-Riemann solver considering source terms and multidimensional effects, J. Comput. Phys., 145 (1998), pp. 575-610.
-
(1998)
J. Comput. Phys.
, vol.145
, pp. 575-610
-
-
Jenny, P.1
Müller, B.2
-
15
-
-
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, M2AN Math. Model. Numer. Anal., 35 (2001), pp. 631-645.
-
(2001)
M2AN Math. Model. Numer. Anal.
, vol.35
, pp. 631-645
-
-
Jin, S.1
-
16
-
-
0030194392
-
Numerical schemes for hyperbolic conservation laws with stiff relaxation terms
-
S. Jin and C. D. Levermore, Numerical schemes for hyperbolic conservation laws with stiff relaxation terms, J. Comput. Phys., 126 (1996), pp. 449-467.
-
(1996)
J. Comput. Phys.
, vol.126
, pp. 449-467
-
-
Jin, S.1
Levermore, C.D.2
-
17
-
-
0033482178
-
Representation of weak limits and definition of nonconservative products
-
P. G. LeFloch and A. E. Tzavaras, Representation of weak limits and definition of nonconservative products, SIAM J. Math. Anal., 30 (1999), pp. 1309-1342.
-
(1999)
SIAM J. Math. Anal.
, vol.30
, pp. 1309-1342
-
-
LeFloch, P.G.1
Tzavaras, A.E.2
-
18
-
-
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. 346-365.
-
(1998)
J. Comput. Phys.
, vol.146
, pp. 346-365
-
-
LeVeque, R.J.1
-
19
-
-
0003402262
-
Analysis and computation of steady open channel flow
-
Ph.D. thesis, University of Reading, Department of Mathematics, Reading, UK
-
I. MacDonald, Analysis and Computation of Steady Open Channel Flow, Ph.D. thesis, University of Reading, Department of Mathematics, Reading, UK, 1996.
-
(1996)
-
-
MacDonald, I.1
-
20
-
-
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
-
21
-
-
0035453016
-
A difference scheme for conservation laws with a discontinuous flux: The nonconvex case
-
J. D. Towers, A difference scheme for conservation laws with a discontinuous flux: The nonconvex case, SIAM J. Numer. Anal., 39 (2001), pp. 1197-1218.
-
(2001)
SIAM J. Numer. Anal.
, vol.39
, pp. 1197-1218
-
-
Towers, J.D.1
-
22
-
-
0348194970
-
Improved treatment of source terms in upwind schemes for the shallow water equations in channels with irregular geometry
-
M. E. Vázquez-Cendón, 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
-
-
Vázquez-Cendón, M.E.1
-
23
-
-
0036647452
-
ENO and WENO schemes with the exact conservation property for one-dimensional shallow water equations
-
S. Vukovic and L. Sopta, ENO and WENO schemes with the exact conservation property for one-dimensional shallow water equations, J. Comput. Phys., 179 (2002), pp. 1-29.
-
(2002)
J. Comput. Phys.
, vol.179
, pp. 1-29
-
-
Vukovic, S.1
Sopta, L.2
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