-
1
-
-
0037016628
-
A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems
-
S. Adjerid, K. Devine, J. Flaherty, and L. Krivodonova. A posteriori error estimation for discontinuous Galerkin solutions of hyperbolic problems. Comput. Meth. Appl. Mech. Engrg, 191(11):1097-1112, 2002.
-
(2002)
Comput. Meth. Appl. Mech. Engrg
, vol.191
, Issue.11
, pp. 1097-1112
-
-
Adjerid, S.1
Devine, K.2
Flaherty, J.3
Krivodonova, L.4
-
2
-
-
42549163819
-
A Nash-Moser theorem for singular evolution equations application to the Serre and Green-Naghdi equations
-
B. Alvarez-Samaniego and D. Lannes. A Nash-Moser theorem for singular evolution equations. application to the Serre and Green-Naghdi equations. Indiana Univ. Math. J., 57:97-131, 2008.
-
(2008)
Indiana Univ. Math. J.
, vol.57
, pp. 97-131
-
-
Alvarez-Samaniego, B.1
Lannes, D.2
-
3
-
-
34247217171
-
Space-time discontinuous Galerkin finite element method for shallow water flows
-
V.R. Ambati and O. Bokhove. Space-time discontinuous Galerkin finite element method for shallow water flows. J. Comput. App.Math., 204:452-462, 2007.
-
(2007)
J. Comput. App.Math
, vol.204
, pp. 452-462
-
-
Ambati, V.R.1
Bokhove, O.2
-
4
-
-
0036410391
-
Unified analysis of discontinuous Galerkin methods for elliptic problems
-
D.N. Arnold, F. Brezzi, B. Cockburn, and L.D. Marini. Unified analysis of discontinuous Galerkin methods for elliptic problems. SIAM J. Numer. Anal., 39(5):1749-1779, 2002.
-
(2002)
SIAM J. Numer. Anal
, vol.39
, Issue.5
, pp. 1749-1779
-
-
Arnold, D.N.1
Brezzi, F.2
Cockburn, B.3
Marini, L.D.4
-
5
-
-
0001416032
-
A high-order accurate discontinuous finite elementmethod for the numerical solution of the compressible Navier-Stokes equations
-
F. Bassi and S. Rebay. A high-order accurate discontinuous finite elementmethod for the numerical solution of the compressible Navier-Stokes equations. J. Comput. Phys., 131:267-279, 1997.
-
(1997)
J. Comput. Phys
, vol.131
, pp. 267-279
-
-
Bassi, F.1
Rebay, S.2
-
6
-
-
0027333936
-
Experimental investigation of wave propagation over a bar
-
S. Beji and J.A. Battjes. Experimental investigation of wave propagation over a bar. Coast. Engrg., 19:151-162, 1993.
-
(1993)
Coast. Engrg
, vol.19
, pp. 151-162
-
-
Beji, S.1
Battjes, J.A.2
-
7
-
-
49749110380
-
A positive preserving high order VFRoe scheme for shallow water equations: A class of relaxation schemes SIAMJ
-
C. Berthon and F. Marche. A positive preserving high order VFRoe scheme for shallow water equations: a class of relaxation schemes. SIAMJ. Sci. Comput., 30:2587-2612, 2008.
-
(2008)
Sci. Comput
, vol.30
, pp. 2587-2612
-
-
Berthon, C.1
Marche, F.2
-
8
-
-
34147181096
-
Modelling of periodic wave transformation in the inner surf zone
-
P. Bonneton. Modelling of periodic wave transformation in the inner surf zone. Ocean Engineering, 34(10):1459-1471, 2007.
-
(2007)
Ocean Engineering
, vol.34
, Issue.10
, pp. 1459-1471
-
-
Bonneton, P.1
-
9
-
-
78650568860
-
A splitting approach for the fully nonlinear and weakly dispersive Green - Naghdi model
-
P. Bonneton, F. Chazel, D. Lannes, F. Marche, and M. Tissier. A splitting approach for the fully nonlinear and weakly dispersive Green - Naghdi model. J. Comput. Phys., 230:1479- 1498, 2011.
-
(2011)
J. Comput. Phys
, vol.230
, pp. 1479-1498
-
-
Bonneton, P.1
Chazel, F.2
Lannes, D.3
Marche, F.4
Tissier, M.5
-
10
-
-
0001314736
-
A problem-independent limiter for high-order runge-kutta discontinuous Galerkin methods
-
A. Burbeau, P. Sagaut, and Ch.-H. Bruneau. A problem-independent limiter for high-order runge-kutta discontinuous Galerkin methods. J. Comput. Phys., 169:111-150, 2001.
-
(2001)
J. Comput. Phys
, vol.169
, pp. 111-150
-
-
Burbeau, A.1
Sagaut, P.2
Bruneau Ch.-, H.3
-
11
-
-
79959525052
-
Numerical simulation of strongly nonlinear and dispersive waves using a Green - Naghdi model
-
F. Chazel, D. Lannes, and F. Marche. Numerical simulation of strongly nonlinear and dispersive waves using a Green - Naghdi model. J. Sci. Comput., pages 105-116, 2011.
-
(2011)
J. Sci. Comput
, pp. 105-116
-
-
Chazel, F.1
Lannes, D.2
Marche, F.3
-
12
-
-
0342827822
-
Boussinesq modeling of wave transformation, breaking, and runup II: 2 D
-
Q. Chen, J.T. Kirby, R. Dalrymple, and A. Kennedy. Boussinesq modeling of wave transformation, breaking, and runup. II: 2 D. J. Water. Port Coast. and Oc. Engrg., 2000.
-
(2000)
J. Water. Port Coast. and Oc. Engrg
-
-
Chen, Q.1
Kirby, J.T.2
Dalrymple, R.3
Kennedy, A.4
-
13
-
-
33746360902
-
A Fourth-order Compact Finite Volume Scheme for Fully Nonlinear and Weakly Dispersive Boussinesq-type Equations. I: Model Development and Analysis
-
R. Cienfuegos, E. Barthélemy, and P. Bonneton. A fourth-order compact finite volume scheme for fully nonlinear and weakly dispersive Boussinesq-type equations. I: Model development and analysis. Int. J. Num. Meth. Fluids, 51(11):1217-1253, 2006.
-
(2006)
Int. J. Num. Meth. Fluids
, vol.51
, Issue.11
, pp. 1217-1253
-
-
Cienfuegos, R.1
Barthélemy, E.2
Bonneton, P.3
-
15
-
-
76349112042
-
Wave-breaking model for Boussinesq type equations including roller effects in the mass conservation equation
-
R. Cienfuegos, E. Barthélemy, and P. Bonneton. Wave-breaking model for Boussinesq type equations including roller effects in the mass conservation equation. J. Water. Port. Coast. and Oc. Engrg., 136:10-26, 2010.
-
(2010)
J. Water. Port. Coast. and Oc. Engrg
, vol.136
, pp. 10-26
-
-
Cienfuegos, R.1
Barthélemy, E.2
Bonneton, P.3
-
16
-
-
0000076512
-
Runge-Kutta discontinuous Galerkin methods for convectiondominated problems
-
B. Cockburn and C.-W. Shu. Runge-Kutta discontinuous Galerkin methods for convectiondominated problems. J. Sci. Comput., 16(3):173-260, 2001.
-
(2001)
J. Sci. Comput
, vol.16
, Issue.3
, pp. 173-260
-
-
Cockburn, B.1
Shu, C.-W.2
-
17
-
-
0344393366
-
The Local Discontinuous Galerkin method for time-dependent convection-diffusion systems
-
B. Cockburn and S.-W. Shu. The Local Discontinuous Galerkin method for time-dependent convection-diffusion systems. SIAM J. Numer. Anal., 141:2440-2463, 1998.
-
(1998)
SIAM J. Numer. Anal
, vol.141
, pp. 2440-2463
-
-
Cockburn, B.1
Shu, S.-W.2
-
19
-
-
0031541111
-
An unsymmetric-pattern multifrontal method for sparse LU factorization
-
T.A. Davis and I.S. Duff. An unsymmetric-pattern multifrontal method for sparse LU factorization. SIAMJ. on Matrix Anal. and Applications, 18:140-158, 1997.
-
(1997)
SIAMJ on Matrix Anal. and Applications
, vol.18
, pp. 140-158
-
-
Davis, T.A.1
Duff, I.S.2
-
20
-
-
0003810103
-
Comparison of computations with Boussinesq-like models and laboratory measurements
-
M.W. Dingemans. Comparison of computations with Boussinesq-like models and laboratory measurements. Delft Hydr., Report H-1684.12, 32, 1994.
-
(1994)
Delft Hydr. Report H-1684.12
, vol.32
-
-
Dingemans, M.W.1
-
21
-
-
84903388615
-
Recent advances on the discontinuous Galerkinmethod for shallow water equations with topography source terms
-
A. Duran and F. Marche. Recent advances on the discontinuous Galerkinmethod for shallow water equations with topography source terms. Comput. & Fluids, 101:88-104, 2014.
-
(2014)
Comput. & Fluids
, vol.101
, pp. 88-104
-
-
Duran, A.1
Marche, F.2
-
22
-
-
84870985121
-
On thewell-balanced numerical discretization of shallow water equations on unstructured meshes
-
A. Duran, F. Marche, and Q. Liang. On thewell-balanced numerical discretization of shallow water equations on unstructured meshes. J. Comput. Phys., 235:565-586, 2013.
-
(2013)
J. Comput. Phys
, vol.235
, pp. 565-586
-
-
Duran, A.1
Marche, F.2
Liang, Q.3
-
23
-
-
79951767730
-
Finite volume schemes for dispersive wave propagation and runup
-
D. Dutykh, T. Katsaounis, and D. Mitsotakis. Finite volume schemes for dispersive wave propagation and runup. J. Comput. Phys., 230:3035 - 3061, 2011.
-
(2011)
J. Comput. Phys
, vol.230
, pp. 3035-3061
-
-
Dutykh, D.1
Katsaounis, T.2
Mitsotakis, D.3
-
24
-
-
33846704862
-
Nodal DG-FEM solution of high-order Boussinesq-type equations
-
A.P. Engsig-Karup, J.S. Hesthaven, H.B. Bingham, and P.A. Madsen. Nodal DG-FEM solution of high-order Boussinesq-type equations. J. Eng. Math., 56:351-370, 2006.
-
(2006)
J. Eng. Math
, vol.56
, pp. 351-370
-
-
Engsig-Karup, A.P.1
Hesthaven, J.S.2
Bingham, H.B.3
Madsen, P.A.4
-
25
-
-
38149019934
-
DG-FEM solution for nonlinear wave-structure interaction using Boussinesq-type equations
-
A.P. Engsig-Karup, J.S. Hesthaven, H.B. Bingham, and T. Warburton. DG-FEM solution for nonlinear wave-structure interaction using Boussinesq-type equations. Coast. Engrg., 55:197-208, 2008.
-
(2008)
Coast. Engrg
, vol.55
, pp. 197-208
-
-
Engsig-Karup, A.P.1
Hesthaven, J.S.2
Bingham, H.B.3
Warburton, T.4
-
26
-
-
28144441044
-
Hybrid finite-volume finite-difference scheme for the solution of Boussinesq equations
-
K. Erduran, S. Ilic, and V. Kutija. Hybrid finite-volume finite-difference scheme for the solution of Boussinesq equations. Int. J. Num. Meth. Fluids, 49:1213-1232, 2005.
-
(2005)
Int. J. Num. Meth. Fluids
, vol.49
, pp. 1213-1232
-
-
Erduran, K.1
Ilic, S.2
Kutija, V.3
-
27
-
-
33846536702
-
Further application of hybrid solution to another form of Boussinesq equations and comparisons
-
K.S. Erduran. Further application of hybrid solution to another form of Boussinesq equations and comparisons. Int. J. Num. Meth. Fluids, 53:827-849, 2007.
-
(2007)
Int. J. Num. Meth. Fluids
, vol.53
, pp. 827-849
-
-
Erduran, K.S.1
-
28
-
-
33847673327
-
Discontinuous Galerkin methods for Friedrichs' systems I. General theory
-
A. Ern and J.-L. Guermond. Discontinuous Galerkin methods for Friedrichs' systems. i. general theory. SIAMJ. Numer. Anal., 44(2):753-778, 2006.
-
(2006)
SIAMJ. Numer. Anal
, vol.44
, Issue.2
, pp. 753-778
-
-
Ern, A.1
Guermond, J.-L.2
-
29
-
-
34547406929
-
Discontinuous Galerkin methods for Friedrichs' systems II. Second-order elliptic pdes
-
A. Ern and J.-L. Guermond. Discontinuous Galerkin methods for Friedrichs' systems. ii. second-order elliptic pdes. SIAMJ. Numer. Anal., 44(6):2363-2388, 2006.
-
(2006)
SIAMJ. Numer. Anal
, vol.44
, Issue.6
, pp. 2363-2388
-
-
Ern, A.1
Guermond, J.-L.2
-
30
-
-
50249144099
-
A well- balanced Runge-Kutta discontinuous Galerkin method for the shallow-water equationswith flooding and drying
-
A. Ern, S. Piperno, and K. Djadel. A well- balanced Runge-Kutta discontinuous Galerkin method for the shallow-water equationswith flooding and drying. Int. J. Num.Meth. Fluids, 58:1-25, 2008.
-
(2008)
Int. J. Num.Meth. Fluids
, vol.58
, pp. 1-25
-
-
Ern, A.1
Piperno, S.2
Djadel, K.3
-
31
-
-
0038043549
-
An hp/spectral element model for efficient long-time integration of Boussinesq-type equations
-
C. Eskilsson and S. J. Sherwin. An hp/spectral element model for efficient long-time integration of Boussinesq-type equations. Coast. Engrg., 45:295-320, 2003.
-
(2003)
Coast. Engrg
, vol.45
, pp. 295-320
-
-
Eskilsson, C.1
Sherwin, S.J.2
-
32
-
-
14844358935
-
Discontinuous Galerkin spectral/hp element modelling of dispersive shallow water systems
-
C. Eskilsson and S.J. Sherwin. Discontinuous Galerkin spectral/hp element modelling of dispersive shallow water systems. J. Sci. Comput., 22 - 23:269-288, 2005.
-
(2005)
J. Sci. Comput
, vol.22-23
, pp. 269-288
-
-
Eskilsson, C.1
Sherwin, S.J.2
-
33
-
-
29144479606
-
Spectral/hp discontinuous Galerkin method for modelling 2D Boussinesq equations
-
C. Eskilsson and S.J. Sherwin. Spectral/hp discontinuous Galerkin method for modelling 2D Boussinesq equations. J. Comput. Phys., 212:566-589, 2006.
-
(2006)
J. Comput. Phys
, vol.212
, pp. 566-589
-
-
Eskilsson, C.1
Sherwin, S.J.2
-
34
-
-
33749323582
-
An unstructured spectral/hp element model for enhanced Boussinesq-type equations
-
C. Eskilsson, S.J. Sherwin, and L. Bergdahl. An unstructured spectral/hp element model for enhanced Boussinesq-type equations. Coast. Engrg., 53(947-963), 2006.
-
(2006)
Coast. Engrg
, vol.53
, Issue.947-963
-
-
Eskilsson, C.1
Sherwin, S.J.2
Bergdahl, L.3
-
35
-
-
0035273564
-
Strong stability preserving high order time discretization methods
-
S. Gottlieb, C.-W. Shu, and Tadmor E. Strong stability preserving high order time discretization methods. SIAMReview, 43:89-112, 2001.
-
(2001)
SIAMReview
, vol.43
, pp. 89-112
-
-
Gottlieb, S.1
Shu, C.-W.2
Tadmor, E.3
-
36
-
-
0016876595
-
A derivation of equations for wave propagation in water of variable depth
-
A.E. Green and P.M. Naghdi. A derivation of equations for wave propagation in water of variable depth. J. Fluid Mech., 78:237-246, 1976.
-
(1976)
J. Fluid Mech
, vol.78
, pp. 237-246
-
-
Green, A.E.1
Naghdi, P.M.2
-
38
-
-
70449685747
-
Tsunami-like solitary waves impinging and overtopping an impermeable seawall: Experiment and rans modeling
-
S-C. Hsiao and T-C. Lin. Tsunami-like solitary waves impinging and overtopping an impermeable seawall: Experiment and rans modeling. Coast. Engrg., 57:1-18, 2010.
-
(2010)
Coast. Engrg
, vol.57
, pp. 1-18
-
-
Hsiao, S.-C.1
Lin, T.-C.2
-
39
-
-
84862656431
-
An unstructured finite volume numerical scheme for extended 2DBoussinesq-type equations
-
M. Kazolea, A.I. Delis, I.K. Nikolos, and C.E. Synolakis. An unstructured finite volume numerical scheme for extended 2DBoussinesq-type equations. Coast. Engrg., 69:42-66, 2012.
-
(2012)
Coast. Engrg
, vol.69
, pp. 42-66
-
-
Kazolea, M.1
Delis, A.I.2
Nikolos, I.K.3
Synolakis, C.E.4
-
40
-
-
84901260953
-
Numerical treatment of wave breaking on unstructured finite volume approximations for extended Boussinesq-type equations
-
M. Kazolea, A.I. Delis, and C.E. Synolakis. Numerical treatment of wave breaking on unstructured finite volume approximations for extended Boussinesq-type equations. J. Comput. Phys., 271:281-305, 2014.
-
(2014)
J. Comput. Phys
, vol.271
, pp. 281-305
-
-
Kazolea, M.1
Delis, A.I.2
Synolakis, C.E.3
-
41
-
-
84961352507
-
Boussinesq modeling of wave transformation, breaking, and runup. I: 1 D
-
A. Kennedy, Q. Chen, J. Kirby, and R. Dalrymple. Boussinesq modeling of wave transformation, breaking, and runup. I: 1 D. J. Water. Port Coast. and Oc. Engrg., 1999.
-
(1999)
J. Water. Port Coast. and Oc. Engrg
-
-
Kennedy, A.1
Chen, Q.2
Kirby, J.3
Dalrymple, R.4
-
42
-
-
1042281121
-
Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws
-
L. Krivodonova, J. Xin, J.-F. Remacle, N. Chevaugeon, and J.E. Flaherty. Shock detection and limiting with discontinuous Galerkin methods for hyperbolic conservation laws. Applied Numerical Mathematics, 48:323-338, 2004.
-
(2004)
Applied Numerical Mathematics
, vol.48
, pp. 323-338
-
-
Krivodonova, L.1
Xin, J.2
Remacle, J.-F.3
Chevaugeon, N.4
Flaherty, J.E.5
-
44
-
-
59649093678
-
Derivation of asymptotic two-dimensional time-dependent equations for surface water wave propagation
-
D. Lannes and P. Bonneton. Derivation of asymptotic two-dimensional time-dependent equations for surface water wave propagation. Physics of fluids, 21:016601, 2009.
-
(2009)
Physics of Fluids
, vol.21
, pp. 016601
-
-
Lannes, D.1
Bonneton, P.2
-
46
-
-
73649106498
-
A numerical scheme for the Green-Naghdimodel
-
O. LeMétayer, S. Gavrilyuk, and S. Hank. A numerical scheme for the Green-Naghdimodel. J. Comput. Phys., (229):2034-2045, 2010.
-
(2010)
J. Comput. Phys.
, Issue.229
, pp. 2034-2045
-
-
Lemétayer, O.1
Gavrilyuk, S.2
Hank, S.3
-
47
-
-
84886260329
-
High order well-balanced CDG-FE methods for shallow water waves by a Green-Naghdi model
-
M Li, P. Guyenne, F. Li, and F. Xu. High order well-balanced CDG-FE methods for shallow water waves by a Green-Naghdi model. J. Comput. Phys., 257:169-192, 2014.
-
(2014)
J. Comput. Phys
, vol.257
, pp. 169-192
-
-
Li, M.1
Guyenne, P.2
Li, F.3
Xu, F.4
-
48
-
-
0033167143
-
Numericalmodeling of Boussinesq equations by finite element method
-
Y.S. Li, S.X. Liu, Y.X. Yu, and G.Z. Lai. Numericalmodeling of Boussinesq equations by finite element method. Coast. Engrg., 37:97-122, 1999.
-
(1999)
Coast. Engrg
, vol.37
, pp. 97-122
-
-
Li, Y.S.1
Liu, S.X.2
Yu, Y.X.3
Lai, G.Z.4
-
49
-
-
55949108414
-
Adaptive quadtree simulation of shallow flows with wetdry fronts over complex topography
-
Q. Liang and A. G. L. Borthwick. Adaptive quadtree simulation of shallow flows with wetdry fronts over complex topography. Comput. & Fluids, 38(2):221-234, 2009.
-
(2009)
Comput. & Fluids
, vol.38
, Issue.2
, pp. 221-234
-
-
Liang, Q.1
Borthwick, A.G.L.2
-
50
-
-
67349101335
-
Numerical resolution of well-balanced shallow water equations with complex source terms
-
Q. Liang and F. Marche. Numerical resolution of well-balanced shallow water equations with complex source terms. Adv.Water Res., 32:873-884, 2009.
-
(2009)
Adv.Water Res
, vol.32
, pp. 873-884
-
-
Liang, Q.1
Marche, F.2
-
51
-
-
0037055049
-
A new Boussinesq method for fully nonlinear waves from shallow to deep water
-
P.A. Madsen, H.B. Bingham, and H. Liu. A new Boussinesq method for fully nonlinear waves from shallow to deep water. J. Fluid Mech., 462:1-30, 2002.
-
(2002)
J. Fluid Mech
, vol.462
, pp. 1-30
-
-
Madsen, P.A.1
Bingham, H.B.2
Liu, H.3
-
52
-
-
0141848956
-
Boussinesq-type formulations for fully nonlinear and extremely dispersive water waves: Derivation and analysis
-
P.A. Madsen, H.B. Bingham, and H.A. Schaffer. Boussinesq-type formulations for fully nonlinear and extremely dispersive water waves: derivation and analysis. Proc. R. Soc. A, 459:1075-1104, 2003.
-
(2003)
Proc. R. Soc. A
, vol.459
, pp. 1075-1104
-
-
Madsen, P.A.1
Bingham, H.B.2
Schaffer, H.A.3
-
53
-
-
0026191546
-
A new form of the Boussinesq equations with improved linear dispersion characteristics
-
P.A. Madsen, R. Murray, and O.R. Sorensen. A new form of the Boussinesq equations with improved linear dispersion characteristics. Coast. Engrg., 15(4):371-388, 1991.
-
(1991)
Coast. Engrg
, vol.15
, Issue.4
, pp. 371-388
-
-
Madsen, P.A.1
Murray, R.2
Sorensen, O.R.3
-
54
-
-
0027007549
-
A newformof the Boussinesq equations with improved linear dispersion characteristics. Part 2: A slowing varying bathymetry
-
P.A. Madsen and O.R. Sørensen. A newformof the Boussinesq equations with improved linear dispersion characteristics. Part 2: A slowing varying bathymetry. Coast. Engrg., 18:183-204, 1992.
-
(1992)
Coast. Engrg
, vol.18
, pp. 183-204
-
-
Madsen, P.A.1
Sørensen, O.R.2
-
55
-
-
84906951164
-
On the Galerkin/finite-element method for the Serre equations
-
D. Mitsotakis, B. Ilan, and D. Dutykh. On the Galerkin/finite-element method for the Serre equations. J. Sci. Comput., 2014.
-
(2014)
J. Sci. Comput
-
-
Mitsotakis, D.1
Ilan, B.2
Dutykh, D.3
-
56
-
-
0027789687
-
Alternative form of Boussinesq equations for nearshore wave propagation
-
O. Nwogu. Alternative form of Boussinesq equations for nearshore wave propagation. J. Water. Port Coast. and Oc. Engrg., 119:618-638, 1993.
-
(1993)
J. Water. Port Coast. and Oc. Engrg
, vol.119
, pp. 618-638
-
-
Nwogu, O.1
-
57
-
-
81455154002
-
From the paddle to the beach - A Boussinesq shallow water numerical wave tank based on Madsen and Sørensen's equations
-
J. Orszaghova, A.G.L. Borthwick, and P.H. Taylor. From the paddle to the beach - A Boussinesq shallow water numerical wave tank based on Madsen and Sørensen's equations. J. Comput. Phys., 231:328-344, 2012.
-
(2012)
J. Comput. Phys
, vol.231
, pp. 328-344
-
-
Orszaghova, J.1
Borthwick, A.G.L.2
Taylor, P.H.3
-
58
-
-
77955516813
-
A pseudo-spectral algorithm and test cases for the numerical solution of the two-dimensional rotatingGreen-Naghdi shallowwater equations
-
J.D. Pearce and J.G. Esler. A pseudo-spectral algorithm and test cases for the numerical solution of the two-dimensional rotatingGreen-Naghdi shallowwater equations. J. Comput. Phys., 229:7594-7608, 2010.
-
(2010)
J. Comput. Phys
, vol.229
, pp. 7594-7608
-
-
Pearce, J.D.1
Esler, J.G.2
-
59
-
-
84958426983
-
Long waves on a beach
-
D. Peregrine. Long waves on a beach. J. Fluid Mech., 27:815-827, 1967.
-
(1967)
J. Fluid Mech
, vol.27
, pp. 815-827
-
-
Peregrine, D.1
-
60
-
-
84958426983
-
Long waves on a beach
-
D.H. Peregrine. Long waves on a beach. J. Fluid Mech., 27:815-827, 1967.
-
(1967)
J. Fluid Mech
, vol.27
, pp. 815-827
-
-
Peregrine, D.H.1
-
61
-
-
33646565327
-
A comparison of troubled-cell indicators for Runge-Kutta discontinuous Galerkin methods using weighted essentially nonoscillatory limiters
-
J. Qiu and C.-W. Shu. A comparison of troubled-cell indicators for Runge-Kutta discontinuous Galerkin methods using weighted essentially nonoscillatory limiters. SIAM J. Sci. Comput., 27:995-1013, 2005.
-
(2005)
SIAM J. Sci. Comput
, vol.27
, pp. 995-1013
-
-
Qiu, J.1
Shu, C.-W.2
-
62
-
-
84901267262
-
Upwind residual discretization of enhanced Boussinesq equations for wave propagation over complex bathymetries
-
in press
-
M. Ricchiuto and A.G. Filippini. Upwind residual discretization of enhanced Boussinesq equations for wave propagation over complex bathymetries. J. Comput. Phys., in press, 2014.
-
(2014)
J. Comput. Phys
-
-
Ricchiuto, M.1
Filippini, A.G.2
-
63
-
-
84864075104
-
Boussinesq-type model for energetic breaking waves in fringing reef environments
-
V. Roeber and K.F. Cheung. Boussinesq-type model for energetic breaking waves in fringing reef environments. Coast. Engrg., 70(0):1 - 20, 2012.
-
(2012)
Coast. Engrg
, vol.70
, Issue.0
, pp. 1-20
-
-
Roeber, V.1
Cheung, K.F.2
-
64
-
-
0035864599
-
Adaptive Q-tree Godunov-type scheme for shallow water equations
-
B. Rogers, M. Fujihara, and A. Borthwick. Adaptive Q-tree Godunov-type scheme for shallow water equations. Int. J. Num. Meth. Fluids, 35:247-280, 2001.
-
(2001)
Int. J. Num. Meth. Fluids
, vol.35
, pp. 247-280
-
-
Rogers, B.1
Fujihara, M.2
Borthwick, A.3
-
65
-
-
0027788993
-
A Boussinesq model for waves breaking in shallow water
-
H. Schaeffer. A Boussinesq model for waves breaking in shallow water. Coast. Engrg., 20:185-202, 1993.
-
(1993)
Coast. Engrg
, vol.20
, pp. 185-202
-
-
Schaeffer, H.1
-
66
-
-
84988988996
-
Contribution á l'étude des écoulements permanents et variables dans les canaux
-
F. Serre. Contribution á l'étude des écoulements permanents et variables dans les canaux. Houille Blanche, 6:830-872, 1953.
-
(1953)
Houille Blanche
, vol.6
, pp. 830-872
-
-
Serre, F.1
-
67
-
-
84855748954
-
A high-order adaptive timestepping tvd solver for Boussinesq modeling of breaking waves and coastal inundation
-
F. Shi, J.T. Kirby, J.C. Harris, J.D. Geiman, and S.T. Grilli. A high-order adaptive timestepping tvd solver for Boussinesq modeling of breaking waves and coastal inundation. Ocean Modelling, 43-44:36-51, 2012.
-
(2012)
Ocean Modelling
, vol.43-44
, pp. 36-51
-
-
Shi, F.1
Kirby, J.T.2
Harris, J.C.3
Geiman, J.D.4
Grilli, S.T.5
-
68
-
-
52649145898
-
A second-order semi-implicit hybrid scheme for onedimensional Boussinesq-type waves in rectangular channels
-
S. Soares-Frazão and V. Guinot. A second-order semi-implicit hybrid scheme for onedimensional Boussinesq-type waves in rectangular channels. Int. J. Num. Meth. Fluids, 58:237-261, 2008.
-
(2008)
Int. J. Num. Meth. Fluids
, vol.58
, pp. 237-261
-
-
Soares-Frazão, S.1
Guinot, V.2
-
69
-
-
0037711792
-
Surf zone dynamics simulated by a Boussinesq type model. III. Wave-induced horizontal nearshore circulation
-
O. Sørensen, H. Schäffer, and P. Madsen. Surf zone dynamics simulated by a Boussinesq type model. III. Wave-induced horizontal nearshore circulation. Coast. Engrg., 33:155-176, 1998.
-
(1998)
Coast. Engrg
, vol.33
, pp. 155-176
-
-
Sørensen, O.1
Schäffer, H.2
Madsen, P.3
-
70
-
-
1342268708
-
Boussinesq-type modelling using an unstructured finite element technique
-
O.R. Sørensen, H.A. Schaffer, and L.S. Sørensen. Boussinesq-type modelling using an unstructured finite element technique. Coast. Engrg., 50:181-198, 2004.
-
(2004)
Coast. Engrg
, vol.50
, pp. 181-198
-
-
Sørensen, O.R.1
Schaffer, H.A.2
Sørensen, L.S.3
-
71
-
-
0023563975
-
The runup of solitary waves
-
C.E. Synolakis. The runup of solitary waves. J. Fluid Mech., 185:523-545, 1981.
-
(1981)
J. Fluid Mech
, vol.185
, pp. 523-545
-
-
Synolakis, C.E.1
-
72
-
-
84860791117
-
A new approach to handle wave breaking in fully non-linear Boussinesq models
-
M. Tissier, P. Bonneton, F. Marche, F. Chazel, and D. Lannes. A new approach to handle wave breaking in fully non-linear Boussinesq models. Coast. Engrg., 67:54-66, 2012.
-
(2012)
Coast. Engrg
, vol.67
, pp. 54-66
-
-
Tissier, M.1
Bonneton, P.2
Marche, F.3
Chazel, F.4
Lannes, D.5
-
73
-
-
62649110750
-
Hybrid finite volume- finite difference scheme for 2dh improved Boussinesq equations
-
M. Tonelli and M. Petti. Hybrid finite volume- finite difference scheme for 2dh improved Boussinesq equations. Coast. Engrg., 56(5-6):609-620, 2009.
-
(2009)
Coast. Engrg
, vol.56
, Issue.5-6
, pp. 609-620
-
-
Tonelli, M.1
Petti, M.2
-
74
-
-
77951128147
-
Finite volume scheme for the solution of 2d extended Boussinesq equations in the surf zone
-
M. Tonelli and M. Petti. Finite volume scheme for the solution of 2d extended Boussinesq equations in the surf zone. Ocean Engineering, 37:567-582, 2010.
-
(2010)
Ocean Engineering
, vol.37
, pp. 567-582
-
-
Tonelli, M.1
Petti, M.2
-
75
-
-
84855829867
-
Shock-capturing Boussinesq model for irregular wave propagation
-
M. Tonelli and M. Petti. Shock-capturing Boussinesq model for irregular wave propagation. Coastal Engineering, 61:8-19, 2012.
-
(2012)
Coastal Engineering
, vol.61
, pp. 8-19
-
-
Tonelli, M.1
Petti, M.2
-
76
-
-
0003122153
-
Restoration of the contact surface in the HLL Riemann solver
-
E.F. Toro, M. Spruce, and W. Speare. Restoration of the contact surface in the HLL Riemann solver. Shock waves, 4:25-34, 1994.
-
(1994)
Shock Waves
, vol.4
, pp. 25-34
-
-
Toro, E.F.1
Spruce, M.2
Speare, W.3
-
77
-
-
0037055484
-
A finite element method for the two-dimensional extended Boussinesq equations
-
M. Walkley and M. Berzins. A finite element method for the two-dimensional extended Boussinesq equations. Int. J. Num. Meth. Fluids, 39(10):865-885, 2002.
-
(2002)
Int. J. Num. Meth. Fluids
, vol.39
, Issue.10
, pp. 865-885
-
-
Walkley, M.1
Berzins, M.2
-
78
-
-
79959423655
-
A 2D shallow flow model for practical dam-break simulations
-
Y. Wang, Q. Liang, G. Kesserwani, and J.W. Hall. A 2D shallow flow model for practical dam-break simulations. J. Hydraulic Res., 49(3):307-316, 2011.
-
(2011)
J. Hydraulic Res
, vol.49
, Issue.3
, pp. 307-316
-
-
Wang, Y.1
Liang, Q.2
Kesserwani, G.3
Hall, J.W.4
-
79
-
-
0029478516
-
Time-dependent numerical code for extended Boussinesq equations
-
G. Wei and J. Kirby. Time-dependent numerical code for extended Boussinesq equations. J. Water. Port Coast. and Oc. Engrg., 121:251-261, 1995.
-
(1995)
J. Water. Port Coast. and Oc. Engrg
, vol.121
, pp. 251-261
-
-
Wei, G.1
Kirby, J.2
-
80
-
-
0029343414
-
A fully nonlinear Boussinesqmodel for surface waves. Part 1. Highly nonlinear unsteady waves
-
G. Wei, J. Kirby, S. Grilli, and R. Subramanya. A fully nonlinear Boussinesqmodel for surface waves. Part 1. Highly nonlinear unsteady waves. J. Fluid Mech., 294:71-92, 1995.
-
(1995)
J. Fluid Mech
, vol.294
, pp. 71-92
-
-
Wei, G.1
Kirby, J.2
Grilli, S.3
Subramanya, R.4
-
81
-
-
33749149018
-
A new approach of high order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms
-
Y. Xing and C.-W. Shu. A new approach of high order well-balanced finite volume WENO schemes and discontinuous Galerkin methods for a class of hyperbolic systems with source terms. Commun. Comput. Phys., 1:100-134, 2006.
-
(2006)
Commun. Comput. Phys
, vol.1
, pp. 100-134
-
-
Xing, Y.1
Shu, C.-W.2
-
82
-
-
84883488494
-
Positivity-preserving well-balanced discontinuous Galerkin methods for the shallow water equations on unstructured triangular meshes
-
Y. Xing and X. Zhang. Positivity-preserving well-balanced discontinuous Galerkin methods for the shallow water equations on unstructured triangular meshes. J. Sci. Comput., 57:19- 41, 2013.
-
(2013)
J. Sci. Comput
, vol.57
, pp. 19-41
-
-
Xing, Y.1
Zhang, X.2
-
83
-
-
78649632959
-
Positivity-preserving high order well-balanced discontinuous Galerkin methods for the shallow water equations
-
Y. Xing, X. Zhang, and C.-W. Shu. Positivity-preserving high order well-balanced discontinuous Galerkin methods for the shallow water equations. Advances in Water Resources, 33(12):1476 - 1493, 2010.
-
(2010)
Advances in Water Resources
, vol.33
, Issue.12
, pp. 1476-1493
-
-
Xing, Y.1
Zhang, X.2
Shu, C.-W.3
-
84
-
-
76449116016
-
Local Discontinuous Galerkin methods for high-order time-dependent partial differential equations
-
Y. Xu and C.-W. Shu. Local Discontinuous Galerkin methods for high-order time-dependent partial differential equations. Commun. Comput. Phys., 7(1):1-46, 2010.
-
(2010)
Commun. Comput. Phys
, vol.7
, Issue.1
, pp. 1-46
-
-
Xu, Y.1
Shu, C.-W.2
-
85
-
-
77949317923
-
On maximum-principle-satisfying high order schemes for scalar conservation laws
-
X. Zhang and C.-W. Shu. On maximum-principle-satisfying high order schemes for scalar conservation laws. J. Comput. Phys., 229(9):3091 - 3120, 2010.
-
(2010)
J. Comput. Phys
, vol.229
, Issue.9
, pp. 3091-3120
-
-
Zhang, X.1
Shu, C.-W.2
|