-
1
-
-
0019704843
-
A potential enstrophy and energy conserving scheme for the shallow water equations
-
Arakawa A., and Lamb V.R. A potential enstrophy and energy conserving scheme for the shallow water equations. Mon. Weather Rev. 109 (1981) 18-36
-
(1981)
Mon. Weather Rev.
, vol.109
, pp. 18-36
-
-
Arakawa, A.1
Lamb, V.R.2
-
2
-
-
33646462317
-
A mass-conservative semi-implicit semi-Lagrangian limited-area shallow-water model on the sphere
-
Lauritzen P.H., Kaas E., and Machenhauer B. A mass-conservative semi-implicit semi-Lagrangian limited-area shallow-water model on the sphere. Mon. Weather Rev. 134 (2006) 1205-1221
-
(2006)
Mon. Weather Rev.
, vol.134
, pp. 1205-1221
-
-
Lauritzen, P.H.1
Kaas, E.2
Machenhauer, B.3
-
3
-
-
0026291228
-
Semi-Lagrangian integration schemes for atmospheric models - a review
-
Staniforth A., and Côté J. Semi-Lagrangian integration schemes for atmospheric models - a review. Mon. Weather Rev. 119 (1991) 2206-2223
-
(1991)
Mon. Weather Rev.
, vol.119
, pp. 2206-2223
-
-
Staniforth, A.1
Côté, J.2
-
4
-
-
0011856581
-
A semi-Lagrangian method of characteristics for the shallow-water equations
-
Erbes G. A semi-Lagrangian method of characteristics for the shallow-water equations. Mon. Weather Rev. 121 (1993) 3443-3452
-
(1993)
Mon. Weather Rev.
, vol.121
, pp. 3443-3452
-
-
Erbes, G.1
-
5
-
-
0026219990
-
A universal solver for hyperbolic equations by cubic-polynomial interpolation. I. One-dimensional solver
-
Yabe T., and Aoki T. A universal solver for hyperbolic equations by cubic-polynomial interpolation. I. One-dimensional solver. Comput. Phys. Commun. 66 (1991) 219-232
-
(1991)
Comput. Phys. Commun.
, vol.66
, pp. 219-232
-
-
Yabe, T.1
Aoki, T.2
-
6
-
-
0026222338
-
A universal solver for hyperbolic equations by cubic-polynomial interpolation. II. Two- and three-dimensional solver
-
Yabe T., Ishikawa T., and Wang P.Y. A universal solver for hyperbolic equations by cubic-polynomial interpolation. II. Two- and three-dimensional solver. Comput. Phys. Commun. 66 (1991) 233-242
-
(1991)
Comput. Phys. Commun.
, vol.66
, pp. 233-242
-
-
Yabe, T.1
Ishikawa, T.2
Wang, P.Y.3
-
7
-
-
18844379121
-
Multi-dimensional semi-Lagarangian characteristic approach to the shallow water equations by the CIP method
-
Ogata Y., and Yabe T. Multi-dimensional semi-Lagarangian characteristic approach to the shallow water equations by the CIP method. Int. J. Comput. Eng. Sci. 5 3 (2004) 699-730
-
(2004)
Int. J. Comput. Eng. Sci.
, vol.5
, Issue.3
, pp. 699-730
-
-
Ogata, Y.1
Yabe, T.2
-
8
-
-
0000553762
-
Conservative explicit unstricted-time-step multidimensional constancy-preserving advection schemes
-
Leonard B.P., Lock A.P., and Macvean M.K. Conservative explicit unstricted-time-step multidimensional constancy-preserving advection schemes. Mon. Weather Rev. 124 (1996) 2588-2606
-
(1996)
Mon. Weather Rev.
, vol.124
, pp. 2588-2606
-
-
Leonard, B.P.1
Lock, A.P.2
Macvean, M.K.3
-
9
-
-
0036820843
-
SLICE: a semi-Lagrangian inherently conserving and efficient scheme for transport problems
-
Zerroukat M., Wood N., and Staniforth A. SLICE: a semi-Lagrangian inherently conserving and efficient scheme for transport problems. Quart. J. R. Meteorol. Soc. 128 (2002) 2801-2820
-
(2002)
Quart. J. R. Meteorol. Soc.
, vol.128
, pp. 2801-2820
-
-
Zerroukat, M.1
Wood, N.2
Staniforth, A.3
-
10
-
-
40749106127
-
A fully implicit, mass-conserving, semi-Lagrangian scheme for the f-plane shallow-water equations
-
Thuburn J. A fully implicit, mass-conserving, semi-Lagrangian scheme for the f-plane shallow-water equations. Int. J. Numer. Method Fluid 56 (2008) 1047-1059
-
(2008)
Int. J. Numer. Method Fluid
, vol.56
, pp. 1047-1059
-
-
Thuburn, J.1
-
11
-
-
0036509521
-
The mass-conservative cell-integrated semi-Lagrangian advection scheme on the sphere
-
Nair R.D., and Machenhauer B. The mass-conservative cell-integrated semi-Lagrangian advection scheme on the sphere. Mon. Weather Rev. 130 (2002) 649-667
-
(2002)
Mon. Weather Rev.
, vol.130
, pp. 649-667
-
-
Nair, R.D.1
Machenhauer, B.2
-
12
-
-
39149123831
-
A simple and efficient locally mass conserving semi-Lagrangian transport scheme
-
Kaas E. A simple and efficient locally mass conserving semi-Lagrangian transport scheme. Tellus 60A (2008) 305-320
-
(2008)
Tellus
, vol.60 A
, pp. 305-320
-
-
Kaas, E.1
-
13
-
-
32644433341
-
Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows
-
Noelle S., Pankratz N., Puppo G., and Natvig J.R. Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows. J. Comput. Phys. 213 (2006) 474-499
-
(2006)
J. Comput. Phys.
, vol.213
, pp. 474-499
-
-
Noelle, S.1
Pankratz, N.2
Puppo, G.3
Natvig, J.R.4
-
14
-
-
33846137646
-
Well-balanced finite volume evolution Galerkin methods for the shallow water equations
-
Lukáčová-Medvid'ová M., Noelle S., and Kraft M. Well-balanced finite volume evolution Galerkin methods for the shallow water equations. J. Comput. Phys. 221 (2007) 122-147
-
(2007)
J. Comput. Phys.
, vol.221
, pp. 122-147
-
-
Lukáčová-Medvid'ová, M.1
Noelle, S.2
Kraft, M.3
-
15
-
-
42049109465
-
A CIP/multi-moment finite volume method for shallow water equations with source terms
-
Akoh R., Ii S., and Xiao F. A CIP/multi-moment finite volume method for shallow water equations with source terms. Int. J. Numer. Method Fluid 56 (2007) 2245-2270
-
(2007)
Int. J. Numer. Method Fluid
, vol.56
, pp. 2245-2270
-
-
Akoh, R.1
Ii, S.2
Xiao, F.3
-
16
-
-
0001531042
-
Constrained interpolation profile method for multiphase analysis
-
Yabe T., Xiao F., and Utsumi T. Constrained interpolation profile method for multiphase analysis. J. Comput. Phys. 169 (2001) 556-593
-
(2001)
J. Comput. Phys.
, vol.169
, pp. 556-593
-
-
Yabe, T.1
Xiao, F.2
Utsumi, T.3
-
17
-
-
0035244971
-
An exactly conservative semi-Lagrangian scheme (CIP-CSL) in one dimension
-
Yabe T., Tanaka R., Nakamura T., and Xiao F. An exactly conservative semi-Lagrangian scheme (CIP-CSL) in one dimension. Mon. Weather Rev. 129 (2001) 332-344
-
(2001)
Mon. Weather Rev.
, vol.129
, pp. 332-344
-
-
Yabe, T.1
Tanaka, R.2
Nakamura, T.3
Xiao, F.4
-
18
-
-
0034635945
-
Constructing exactly conservative scheme in non-conservative form
-
Tanaka R., Nakamura T., and Yabe T. Constructing exactly conservative scheme in non-conservative form. Comput. Phys. Commun. 126 (2000) 232-243
-
(2000)
Comput. Phys. Commun.
, vol.126
, pp. 232-243
-
-
Tanaka, R.1
Nakamura, T.2
Yabe, T.3
-
19
-
-
0001127941
-
Multi-dimensional conservative scheme in non-conservative form
-
Nakamura T., Tanaka R., and Yabe T. Multi-dimensional conservative scheme in non-conservative form. CFD J. 9 (2001) 437-453
-
(2001)
CFD J.
, vol.9
, pp. 437-453
-
-
Nakamura, T.1
Tanaka, R.2
Yabe, T.3
-
20
-
-
0035923853
-
Exactly conservative semi-Lagrangian scheme for multi-dimensional hyperbolic equations with directional splitting technique
-
Nakamura T., Tanaka R., Yabe T., and Takizawa K. Exactly conservative semi-Lagrangian scheme for multi-dimensional hyperbolic equations with directional splitting technique. J. Comput. Phys. 174 (2001) 171-207
-
(2001)
J. Comput. Phys.
, vol.174
, pp. 171-207
-
-
Nakamura, T.1
Tanaka, R.2
Yabe, T.3
Takizawa, K.4
-
22
-
-
0031123683
-
Stability and accuracy of the cubic interpolated propagation scheme
-
Utsumi T., Kunugi T., and Aoki T. Stability and accuracy of the cubic interpolated propagation scheme. Comput. Phys. Commun. 101 (1997) 9-20
-
(1997)
Comput. Phys. Commun.
, vol.101
, pp. 9-20
-
-
Utsumi, T.1
Kunugi, T.2
Aoki, T.3
-
23
-
-
0000581731
-
Multidimensional flux-form semi-Lagrangian transport schemes
-
Lin S.-J., and Rood R.B. Multidimensional flux-form semi-Lagrangian transport schemes. Mon. Weather Rev. 124 (1996) 2046-2070
-
(1996)
Mon. Weather Rev.
, vol.124
, pp. 2046-2070
-
-
Lin, S.-J.1
Rood, R.B.2
-
24
-
-
10444227090
-
Note: numerical solution of the shallow water equations
-
Shoucri M.M. Note: numerical solution of the shallow water equations. J. Comput. Phys. 63 (1986) 240-245
-
(1986)
J. Comput. Phys.
, vol.63
, pp. 240-245
-
-
Shoucri, M.M.1
-
25
-
-
0033516238
-
Shock capturing with improved numerical viscosity in primitive Euler representation
-
Ogata Y., and Yabe T. Shock capturing with improved numerical viscosity in primitive Euler representation. Comput. Phys. Commun. 119 (1999) 179-193
-
(1999)
Comput. Phys. Commun.
, vol.119
, pp. 179-193
-
-
Ogata, Y.1
Yabe, T.2
-
26
-
-
0842333838
-
Higher-order schemes with CIP method and adaptive Soroban grid towards mesh-free scheme
-
Yabe T., Mizoe H., Takizawa K., Moriki H., Im H.-N., and Ogata Y. Higher-order schemes with CIP method and adaptive Soroban grid towards mesh-free scheme. J. Comput. Phys. 194 (2004) 57-77
-
(2004)
J. Comput. Phys.
, vol.194
, pp. 57-77
-
-
Yabe, T.1
Mizoe, H.2
Takizawa, K.3
Moriki, H.4
Im, H.-N.5
Ogata, Y.6
-
28
-
-
0016993294
-
Upwind second-order difference schemes and applications in aerodynamics flows
-
Warming R.F., and Beam R.M. Upwind second-order difference schemes and applications in aerodynamics flows. AIAA J. 14 9 (1976) 1241-1249
-
(1976)
AIAA J.
, vol.14
, Issue.9
, pp. 1241-1249
-
-
Warming, R.F.1
Beam, R.M.2
-
29
-
-
45949116313
-
Cubic-interpolated pseudo particle (CIP) method: application to nonlinear or multi-dimensional problems
-
Takewaki H., and Yabe T. Cubic-interpolated pseudo particle (CIP) method: application to nonlinear or multi-dimensional problems. J. Comput. Phys. 70 (1987) 355-372
-
(1987)
J. Comput. Phys.
, vol.70
, pp. 355-372
-
-
Takewaki, H.1
Yabe, T.2
-
30
-
-
0032730529
-
The contour-advective semi-Lagrangian algorithm for the shallow water equations
-
Dritschel D.G., Polvani L.M., and Mohebalhojeh A.R. The contour-advective semi-Lagrangian algorithm for the shallow water equations. Mon. Weather Rev. 127 (1999) 1551-1565
-
(1999)
Mon. Weather Rev.
, vol.127
, pp. 1551-1565
-
-
Dritschel, D.G.1
Polvani, L.M.2
Mohebalhojeh, A.R.3
-
31
-
-
0000644762
-
Conservative finite-difference approximations of the primitive equations on quasi-uniform spherical grids
-
Sadourny R. Conservative finite-difference approximations of the primitive equations on quasi-uniform spherical grids. Mon. Weather Rev. 100 (1972) 136-144
-
(1972)
Mon. Weather Rev.
, vol.100
, pp. 136-144
-
-
Sadourny, R.1
-
32
-
-
41249090263
-
Shallow water model on cubed-sphere by multi-moment finite volume method
-
Chen C., and Xiao F. Shallow water model on cubed-sphere by multi-moment finite volume method. J. Comput. Phys. 227 (2008) 5019-5044
-
(2008)
J. Comput. Phys.
, vol.227
, pp. 5019-5044
-
-
Chen, C.1
Xiao, F.2
-
33
-
-
0001315315
-
Balancing source terms and flux gradients in high-resolution Godunov methods: the quasi-steady wave-propagation algorithm
-
LeVeque R.J. Balancing source terms and flux gradients in high-resolution Godunov methods: the quasi-steady wave-propagation algorithm. J. Comput. Phys. 146 (1998) 346-365
-
(1998)
J. Comput. Phys.
, vol.146
, pp. 346-365
-
-
LeVeque, R.J.1
-
34
-
-
0002690008
-
The surface gradient method for the treatment of source terms in the shallow-water equations
-
Zhou J.G., Causon D.M., Mingham C.G., and Ingram D.M. The surface gradient method for the treatment of source terms in the shallow-water equations. J. Comput. Phys. 168 (2001) 1-25
-
(2001)
J. Comput. Phys.
, vol.168
, pp. 1-25
-
-
Zhou, J.G.1
Causon, D.M.2
Mingham, C.G.3
Ingram, D.M.4
-
35
-
-
0036647452
-
ENO and WENO schemes with the exact conservation property for one-dimensional shallow water equations
-
Vukovic S., and Sopta L. ENO and WENO schemes with the exact conservation property for one-dimensional shallow water equations. J. Comput. Phys. 179 (2002) 593-621
-
(2002)
J. Comput. Phys.
, vol.179
, pp. 593-621
-
-
Vukovic, S.1
Sopta, L.2
-
36
-
-
19044370217
-
High order finite difference WENO schemes for a class of hyperbolic systems with source terms
-
Xing Y., and Shu C.W. High order finite difference WENO schemes for a class of hyperbolic systems with source terms. J. Comput. Phys. 208 (2005) 206-227
-
(2005)
J. Comput. Phys.
, vol.208
, pp. 206-227
-
-
Xing, Y.1
Shu, C.W.2
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