-
3
-
-
0001884854
-
A two-dimensional finite volume extension of the Lax-Friedrichs and Nessyahu-Tadmor schemes for compressible flows
-
M. Hafez and K. Oshima, editors
-
P. Arminjon, D. Stanescu, and M.-C. Viallon. A two-dimensional finite volume extension of the Lax-Friedrichs and Nessyahu-Tadmor schemes for compressible flows. In M. Hafez and K. Oshima, editors, Proceedings of the 6th I nternati onal Symposium on CFD, Lake Tahoe, volume IV, pages 7-14, 1995.
-
(1995)
Proceedings of the 6th i Nternati Onal Symposium on CFD, Lake Tahoe
, vol.4
, pp. 7-14
-
-
Arminjon, P.1
Stanescu, D.2
Viallon, M.-C.3
-
4
-
-
4644342716
-
A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows
-
E. Audusse, F. Bouchut, M.-O. Bristeau, R. Klein, and B. Perthame. A fast and stable well-balanced scheme with hydrostatic reconstruction for shallow water flows. SIAM J. Sci. Comp., 25:2050-2065, 2004.
-
(2004)
SIAM J. Sci. Comp.
, vol.25
, pp. 2050-2065
-
-
Audusse, E.1
Bouchut, F.2
Bristeau, M.-O.3
Klein, R.4
Perthame, B.5
-
5
-
-
0038746749
-
A wave propagation method for conservation laws and balance laws with spatially varying flux functions
-
(electronic)
-
Derek S. Bale, Randall J. Leveque, Sorin Mitran, and James A. Rossmanith. A wave propagation method for conservation laws and balance laws with spatially varying flux functions. SIAM J. Sci. Comput., 24(3):955-978 (electronic), 2002.
-
(2002)
SIAM J. Sci. Comput.
, vol.24
, Issue.3
, pp. 955-978
-
-
Bale, D.S.1
Leveque, R.J.2
Mitran, S.3
Rossmanith, J.A.4
-
7
-
-
0033296324
-
High-order central schemes for hyperbolic systems of conservation laws
-
(electronic)
-
F. Bianco, G. Puppo, and G. Russo. High-order central schemes for hyperbolic systems of conservation laws. SIAM J. Sci. Comput., 21(1):294-322 (electronic), 1999.
-
(1999)
SIAM J. Sci. Comput.
, vol.21
, Issue.1
, pp. 294-322
-
-
Bianco, F.1
Puppo, G.2
Russo, G.3
-
8
-
-
33745457614
-
A mathematical introduction to fluid mechanics
-
Springer-Verlag, New York, third edition
-
A. J. Chorin and J. E. Marsden. A mathematical introduction to fluid mechanics, volume 4 of Texts in Applied Mathematics. Springer-Verlag, New York, third edition, 1993.
-
(1993)
Texts in Applied Mathematics
, vol.4
-
-
Chorin, A.J.1
Marsden, J.E.2
-
12
-
-
23944462603
-
GPU cluster for high performance computing
-
Washington, DC, USA, 2004. IEEE Computer Society
-
Z. Fan, F. Qiu, A. Kaufman, and S. Yoakum-Stover. GPU cluster for high performance computing. In SC '04: Proceedings of the 2004 ACM/IEEE conference on Supercomputing, page 47, Washington, DC, USA, 2004. IEEE Computer Society.
-
SC '04: Proceedings of the 2004 ACM/IEEE Conference on Supercomputing
, pp. 47
-
-
Fan, Z.1
Qiu, F.2
Kaufman, A.3
Yoakum-Stover, S.4
-
15
-
-
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, volume 118 of Applied Mathematical Sciences. Springer-Verlag, New York, 1996.
-
(1996)
Applied Mathematical Sciences
, vol.118
-
-
Godlewski, E.1
Raviart, P.-A.2
-
16
-
-
0000935266
-
A difference method for numerical calculation of discontinuous solutions of the equations of hydrodynamics
-
S. K. Godunov. A difference method for numerical calculation of discontinuous solutions of the equations of hydrodynamics. Mat. Sb. (N.S.), 47 (89):271-306, 1959.
-
(1959)
Mat. Sb. (N.S.)
, vol.47
, Issue.89
, pp. 271-306
-
-
Godunov, S.K.1
-
17
-
-
25844436901
-
Visual simulation of shallow-water waves
-
T. R. Hagen, J. M. Hjelmervik, K.-A. Lie, J. R. Natvig, and M. Ofstad Hen-riksen. Visual simulation of shallow-water waves. Simul. Model. Pract. Theory, 13(8):716-726, 2005.
-
(2005)
Simul. Model. Pract. Theory
, vol.13
, Issue.8
, pp. 716-726
-
-
Hagen, T.R.1
Hjelmervik, J.M.2
Lie, K.-A.3
Natvig, J.R.4
Ofstad Hen-Riksen, M.5
-
18
-
-
33746590744
-
Solving the Euler equations on graphical processing units
-
V.N. Alexandrov, G.D. van Albada, P.M.A. Sloot, and J. Dongarra, editors, Computational Science-ICCS 2006: 6th International Conference, Reading, UK, May 28-31, 2006, Proceedings, Part IV, Springer-Verlag
-
T. R. Hagen, K.-A. Lie, and J. R. Natvig. Solving the Euler equations on graphical processing units. In V.N. Alexandrov, G.D. van Albada, P.M.A. Sloot, and J. Dongarra, editors, Computational Science-ICCS 2006: 6th International Conference, Reading, UK, May 28-31, 2006, Proceedings, Part IV, volume 3994 of Lecture Notes in Computer Science (LNCS), pages 220-227. Springer Verlag, 2006.
-
(2006)
Lecture Notes in Computer Science (LNCS)
, vol.3994
, pp. 220-227
-
-
Hagen, T.R.1
Lie, K.-A.2
Natvig, J.R.3
-
19
-
-
40749159424
-
High resolution schemes for hyperbolic conservation laws
-
A. Harten. High resolution schemes for hyperbolic conservation laws. J. Comput. Phys., 49(3):357-393, 1983.
-
(1983)
J. Comput. Phys.
, vol.49
, Issue.3
, pp. 357-393
-
-
Harten, A.1
-
20
-
-
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(1):35-61, 1983.
-
(1983)
SIAM Rev.
, vol.25
, Issue.1
, pp. 35-61
-
-
Harten, A.1
Lax, P.D.2
Van Leer, B.3
-
21
-
-
84889981811
-
Finite volumes for complex applications III
-
Laboratoire d'Analyse, Topologie et Probabilit́es CNRS, Marseille, Papers from the 3rd Symposium held in Porquerolles, June 24-28, 2002
-
R. Herbin and D. Kr̈oner, editors. Finite volumes for complex applications III. Laboratoire d'Analyse, Topologie et Probabilit́es CNRS, Marseille, 2002. Problems and perspectives, Papers from the 3rd Symposium held in Porquerolles, June 24-28, 2002.
-
(2002)
Problems and Perspectives
-
-
Herbin, R.1
Kr̈oner, D.2
-
22
-
-
85067915698
-
Front tracking for hyperbolic conservation laws
-
Springer-Verlag, New York
-
H. Holden and N. H. Risebro. Front tracking for hyperbolic conservation laws, volume 152 of Applied Mathematical Sciences. Springer-Verlag, New York, 2002.
-
(2002)
Applied Mathematical Sciences
, vol.152
-
-
Holden, H.1
Risebro, N.H.2
-
23
-
-
0032206542
-
Nonoscillatory central schemes for multidimensional hyperbolic conservation laws
-
G.-S. Jiang and E. Tadmor. Nonoscillatory central schemes for multidimensional hyperbolic conservation laws. SIAM J. Sci. Comput., 19(6):1892-1917, 1998
-
(1998)
SIAM J. Sci. Comput.
, vol.19
, Issue.6
, pp. 1892-1917
-
-
Jiang, G.-S.1
Tadmor, E.2
-
24
-
-
0000220623
-
First order quasilinear equations with several independent variables
-
S. N. Kruzkov. First order quasilinear equations with several independent variables. Mat. Sb. (N.S.), 81 (123):228-255, 1970.
-
(1970)
Mat. Sb. (N.S.)
, vol.81
, Issue.123
, pp. 228-255
-
-
Kruzkov, S.N.1
-
25
-
-
0036288577
-
Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations
-
(electronic)
-
A. Kurganov, S. Noelle, and G. Petrova. Semidiscrete central-upwind schemes for hyperbolic conservation laws and Hamilton-Jacobi equations. SIAM J. Sci. Comput., 23(3):707-740 (electronic), 2001.
-
(2001)
SIAM J. Sci. Comput.
, vol.23
, Issue.3
, pp. 707-740
-
-
Kurganov, A.1
Noelle, S.2
Petrova, G.3
-
26
-
-
0000356257
-
New high-resolution semi-discrete central schemes for Hamilton-Jacobi equations
-
A. Kurganov and E. Tadmor. New high-resolution semi-discrete central schemes for Hamilton-Jacobi equations. J. Comp. Phys., 160:720-742, 2000.
-
(2000)
J. Comp. Phys.
, vol.160
, pp. 720-742
-
-
Kurganov, A.1
Tadmor, E.2
-
27
-
-
0036333838
-
Central-upwind schemes for the Saint-Venant system
-
Alexander Kurganov and Doron Levy. Central-upwind schemes for the Saint-Venant system. M2AN Math. Model. Numer. Anal., 36(3):397-425, 2002.
-
(2002)
M2AN Math. Model. Numer. Anal.
, vol.36
, Issue.3
, pp. 397-425
-
-
Kurganov, A.1
Levy, D.2
-
28
-
-
0003362166
-
Fluid mechanics
-
Translated from the Russian by J. B. Sykes and W. H. Reid, Pergamon Press, London
-
L. D. Landau and E. M. Lifshitz. Fluid mechanics. Translated from the Russian by J. B. Sykes and W. H. Reid. Course of Theoretical Physics, Vol. 6. Pergamon Press, London, 1959.
-
(1959)
Course of Theoretical Physics
, vol.6
-
-
Landau, L.D.1
Lifshitz, E.M.2
-
29
-
-
84980078953
-
Weak solutions of nonlinear hyperbolic equations and their numerical computation
-
P. D. Lax. Weak solutions of nonlinear hyperbolic equations and their numerical computation. Comm. Pure Appl. Math., 7:159-193, 1954.
-
(1954)
Comm. Pure Appl. Math.
, vol.7
, pp. 159-193
-
-
Lax, P.D.1
-
32
-
-
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, 146:346-365, 1998.
-
(1998)
J. Comput. Phys
, vol.146
, pp. 346-365
-
-
Leveque, R.J.1
-
34
-
-
0035075926
-
Compact central WENO schemes for multidimensional conservation laws
-
D. Levy, G. Puppo, and G. Russo. Compact central WENO schemes for multidimensional conservation laws. SIAM J. Sci. Comput., 22(2):656-672, 2000.
-
(2000)
SIAM J. Sci. Comput.
, vol.22
, Issue.2
, pp. 656-672
-
-
Levy, D.1
Puppo, G.2
Russo, G.3
-
35
-
-
0142101586
-
An improved quadrature rule for the flux-computation in staggered central difference schemes in multidimensions
-
K.-A. Lie and S. Noelle. An improved quadrature rule for the flux-computation in staggered central difference schemes in multidimensions. J. Sci. Comput., 18(1):69-81, 2003.
-
(2003)
J. Sci. Comput.
, vol.18
, Issue.1
, pp. 69-81
-
-
Lie, K.-A.1
Noelle, S.2
-
36
-
-
0041428206
-
On the artificial compression method for second-order nonoscillatory central difference schemes for systems of conservation laws
-
K.-A. Lie and S. Noelle. On the artificial compression method for second-order nonoscillatory central difference schemes for systems of conservation laws. SIAM J. Sci. Comput., 24(4):1157-1174, 2003.
-
(2003)
SIAM J. Sci. Comput.
, vol.24
, Issue.4
, pp. 1157-1174
-
-
Lie, K.-A.1
Noelle, S.2
-
37
-
-
0000088242
-
Composite schemes for conservation laws
-
R. Liska and B. Wendroff. Composite schemes for conservation laws. SIAM J. Numer. Anal., 35(6):2250-2271, 1998.
-
(1998)
SIAM J. Numer. Anal.
, vol.35
, Issue.6
, pp. 2250-2271
-
-
Liska, R.1
Wendroff, B.2
-
38
-
-
0032336616
-
Third order nonoscillatory central scheme for hyperbolic conservation laws
-
X.-D. Liu and E. Tadmor. Third order nonoscillatory central scheme for hyperbolic conservation laws. Numer. Math., 79(3):397-425, 1998.
-
(1998)
Numer. Math.
, vol.79
, Issue.3
, pp. 397-425
-
-
Liu, X.-D.1
Tadmor, E.2
-
39
-
-
17444372778
-
Real-time 3d fluid simulation on GPU with complex obstacles
-
IEEE Computer Society
-
Y. Liu, X. Liu, and E. Wu. Real-time 3d fluid simulation on GPU with complex obstacles. In Proceedings of Paci fic Graphics 2004, pages 247-256. IEEE Computer Society, 2004.
-
(2004)
Proceedings of Paci Fic Graphics
, vol.2004
, pp. 247-256
-
-
Liu, Y.1
Liu, X.2
Wu, E.3
-
40
-
-
28144455569
-
Nonoscillatory central differencing for hyperbolic conservation laws
-
H. Nessyahu and E. Tadmor. Nonoscillatory central differencing for hyperbolic conservation laws. J. Comput. Phys., 87(2):408-463, 1990.
-
(1990)
J. Comput. Phys.
, vol.87
, Issue.2
, pp. 408-463
-
-
Nessyahu, H.1
Tadmor, E.2
-
41
-
-
32644433341
-
Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows
-
S. Noelle, N. Pankratz, G. Puppo, and J. R. Natvig. Well-balanced finite volume schemes of arbitrary order of accuracy for shallow water flows. J. Comput. Phys., 213(2):474-499, 2006.
-
(2006)
J. Comput. Phys.
, vol.213
, Issue.2
, pp. 474-499
-
-
Noelle, S.1
Pankratz, N.2
Puppo, G.3
Natvig, J.R.4
-
42
-
-
25844479498
-
A survey of general-purpose computation on graphics hardware
-
State of the Art Reports, August 2005
-
J. D. Owens, D. Luebke, N. Govindaraju, M. Harris, J. Krüger, A. E. Lefohn, and T. J. Purcell. A survey of general-purpose computation on graphics hardware. In Eurographics 2005, State of the Art Reports, pages 21-51, August 2005.
-
(2005)
Eurographics
, pp. 21-51
-
-
Owens, J.D.1
Luebke, D.2
Govindaraju, N.3
Harris, M.4
Krüger, J.5
Lefohn, A.E.6
Purcell, T.J.7
-
44
-
-
0003588880
-
Difference methods for initial-value problems. Second edition
-
Interscience Publishers John Wiley & Sons, Inc., New York-London-Sydney
-
R. D. Richtmyer and K. W. Morton. Difference methods for initial-value problems. Second edition. Interscience Tracts in Pure and Applied Mathematics, No. 4. Interscience Publishers John Wiley & Sons, Inc., New York-London-Sydney, 1967.
-
(1967)
Interscience Tracts in Pure and Applied Mathematics
, Issue.4
-
-
Richtmyer, R.D.1
Morton, K.W.2
-
45
-
-
84875253961
-
-
Addison Wesley Longman Publishing Co., Inc.
-
R Shading Language. Addison Wesley Longman Publishing Co., Inc., 2004.
-
(2004)
R Shading Language
-
-
Rost, R.J.1
-
46
-
-
84880477362
-
Graphics processor units: New prospects for parallel computing
-
A.M. Bruaset and A. Tveito, editors Numerical Solution of Partial Differential Equations on Parallel Computers, Springer Verlag
-
M. Rumpf and R. Strzodka. Graphics processor units: new prospects for parallel computing. In A.M. Bruaset and A. Tveito, editors, Numerical Solution of Partial Differential Equations on Parallel Computers, volume 51 of Lecture Notes in Computational Science and Engineering, pages 89-134. Springer Verlag, 2006.
-
(2006)
Lecture Notes in Computational Science and Engineering
, vol.51
, pp. 89-134
-
-
Rumpf, M.1
Strzodka, R.2
-
47
-
-
0000564951
-
Total-variation-diminishing time discretisations
-
C.-W. Shu. Total-variation-diminishing time discretisations. SIAM J. Sci. Stat. Comput., 9:1073-1084, 1988.
-
(1988)
SIAM J. Sci. Stat. Comput.
, vol.9
, pp. 1073-1084
-
-
Shu, C.-W.1
-
48
-
-
0000034725
-
Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws. Advanced numerical approximation of nonlinear hyperbolic equations (Cetraro 1997)
-
Springer, Berlin
-
C.-W. Shu. Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws. In Advanced numerical approximation of nonlinear hyperbolic equations (Cetraro, 1997), volume 1697 of Lecture Notes in Math., pages 325-432. Springer, Berlin, 1998.
-
(1998)
Lecture Notes in Math.
, vol.1697
, pp. 325-432
-
-
Shu, C.-W.1
-
49
-
-
13844270719
-
Finite-volume WENO schemes for three-dimensional conservation laws
-
V. A. Titarev and E. F. Toro. Finite-volume WENO schemes for three-dimensional conservation laws. J. Comput. Phys., 201(1):238-260, 2004.
-
(2004)
J. Comput. Phys.
, vol.201
, Issue.1
, pp. 238-260
-
-
Titarev, V.A.1
Toro, E.F.2
-
53
-
-
0007602333
-
Finite volumes for complex applications II
-
Hermes Science Publications, Paris, July 19-22, 1999
-
R. Vilsmeier, F. Benkhaldoun, and D. Ḧanel, editors. Finite volumes for complex applications II. Hermes Science Publications, Paris, 1999. Problems and perspectives, Papers from the 2nd International Conference held in Duisburg, July 19-22, 1999.
-
(1999)
Problems and Perspectives, Papers from the 2nd International Conference Held in Duisburg
-
-
Vilsmeier, R.1
Benkhaldoun, F.2
Ḧanel, D.3
-
54
-
-
0004181419
-
-
Wiley-Interscience [John Wiley & Sons], New York, Pure and Applied Mathematics
-
G. B. Whitham. Linear and nonlinear waves. Wiley-Interscience [John Wiley & Sons], New York, 1974. Pure and Applied Mathematics.
-
(1974)
Linear and Nonlinear Waves
-
-
Whitham, G.B.1
-
55
-
-
10644272216
-
An improved study of real-time fluid simulation on GPU
-
E. Wu, Y. Liu, and X. Liu. An improved study of real-time fluid simulation on GPU. J. of Computer Animation and Virtual World, 15(3-4):139-146, 2004.
-
(2004)
J. of Computer Animation and Virtual World
, vol.15
, Issue.3-4
, pp. 139-146
-
-
Wu, E.1
Liu, Y.2
Liu, X.3
|