1 % ********************************************
5 % ********************************************
7 @STRING(AIAA ="AIAA Journal")
8 @STRING(AOR ="Applied Ocean Res.")
9 @STRING(ANM ="Applied Num. Math.")
10 @STRING(CE ="Coastal Engineering")
11 @STRING(CF ="Computers and Fluids")
12 @STRING(IJNMF ="Int. J. Num. Meth. Fluids")
13 @STRING(IJNME ="Int. J. Num. Meth. Engng.")
14 @STRING(IWWWFB="Intl. Wrkshp. Water Waves and Floating Bodies")
15 @STRING(JCP ="J. Comput. Phys.")
16 @STRING(JEM ="J. Engineering Math.")
17 @STRING(JFE ="J. Fluids Engng.")
18 @STRING(JFM ="J. Fluid Mech.")
19 @STRING(JGR ="J. Geophys. Res.")
20 @STRING(SJNA ="SIAM J. Num. Anal.")
21 @STRING(JSC ="J. Scient. Comp.")
22 @STRING(JSR ="J. Ship Res.")
23 @STRING(JWPCOE="J. Waterway, Port, Coastal and Ocean Eng., ASCE")
24 @STRING(OE ="Ocean Engng.")
25 @STRING(JPF ="J. Phys. Fluids")
26 @STRING(RINA ="The Royal Institution of Naval Architects")
27 @STRING(RSL ="Proc. R. Soc. Lond. A")
31 @ARTICLE{ch7:EngsigKarupEtAl2011,
32 AUTHOR = "Engsig-Karup, A. P. and Madsen, M. G. and Glimberg, S. L.",
33 TITLE = "A massively parallel {GPU}-accelerated model for analysis of fully nonlinear free surface waves",
36 DOI = "10.1002/fld.2675"
40 AUTHOR = "Engsig-Karup, A.P. and Hesthaven, J.S. and Bingham, H.B. and Madsen, P.",
41 TITLE = "Nodal {DG-FEM} solutions of high-order {B}oussinesq-type equations",
49 AUTHOR = "Engsig-Karup, A.P. and Hesthaven, J.S. and Bingham, H.B. and Warburton, T.",
50 TITLE = "{DG-FEM} solution for nonlinear wave-structure interaction using Boussinesq-type equations",
57 @INPROCEEDINGS{ch7:Glimberg2011,
58 AUTHOR = {Stefan L. Glimberg and Allan P. Engsig-Karup and Morten G. Madsen},
59 TITLE = {A Fast GPU-accelerated Mixed-precision Strategy for Fully Nonlinear Water Wave Computations},
60 BOOKTITLE = {Numerical Mathematics and Advanced Applications 2011, Proceedings of ENUMATH 2011, the 9th European Conference on Numerical Mathematics and Advanced Applications, Leicester, September 2011},
62 editor = {A. Cangiani and R. L. Davidchack and E. Georgoulis and A.N. Gorban and J. Levesley and M. V. Tretyakov},
63 publisher = {Springer},
67 AUTHOR = "Engsig-Karup, A.P. and Bingham, H.B. and Lindberg, O.",
68 TITLE = "An efficient flexible-order model for {3D} nonlinear water waves",
75 @ARTICLE{ch7:LiFleming1997,
76 AUTHOR = "Li, B. and Fleming, C. A.",
77 TITLE = "A three dimensional multigrid model for fully nonlinear water waves",
84 @article{ch7:RobertsonSherwin1999,
85 AUTHOR = "Robertson, I. and Sherwin, S.",
86 TITLE = "Free-surface flow simulation using hp/Spectral elements",
95 TITLE = "Numerical Modeling of Water Waves",
96 PUBLISHER = "Taylor \& Francis",
100 @INPROCEEDINGS{ch7:LindbergEtAl2012b,
101 AUTHOR = " Lindberg, O. and Bingham, H. B. and Engsig-Karup, A. P. and Madsen, P.",
102 TITLE = "Towards Real Time Simulation of Ship-Ship Interaction",
103 BOOKTITLE = "Proceedings of The 27th International Workshop on Water Waves and Floating Bodies (IWWWFB)",
107 @Article{ch7:DucrozetEtAl2011,
108 author = "Ducrozet, G. and Bingham, H. B. and Engsig-Karup, A. P. and Bonnefoy
109 1, F. and Ferrant, P.",
110 title = "A comparative study of two fast nonlinear free-surface
112 journal = "Int. J. Num. Methods in Fluids (E-published)",
115 @INPROCEEDINGS{ch7:HenshawEtAll1996,
116 AUTHOR = "Henshaw, W. D.",
117 TITLE = "Overture: An Object-Oriented System for Solving PDEs in Moving Geometries on Overlapping Grids Using C++",
118 EDITOR = "Sakell, L. and Knight, D. D.",
119 BOOKTITLE = "Proceedings of the first AFOSR Conference on Dynamic Motion CFD",
124 @INPROCEEDINGS{ch7:HausslingVanEseltine1975,
125 AUTHOR = "Haussling, H. J. and Van Eseltine, R. T.",
126 TITLE = "Finite-difference methods for transient potential flows with free surfaces",
127 EDITOR = "J. W. et al.",
128 BOOKTITLE = "Proceedings of the Int. Conf. Num. Ship. Hydrodyn.",
130 PUBLISHER = "Berkely: Univ. Extension Publ.",
134 @ARTICLE{ch7:BinghamZhang2007,
135 AUTHOR = "Bingham, H. B. and Zhang, H.",
136 TITLE = "On the accuracy of finite-difference solutions for nonlinear water waves",
144 AUTHOR = "Madsen, P.A. and Bingham, H.B. and Sch{\"a}ffer, H. A.",
145 TITLE = "Boussinesq-type formulations for fully nonlinear and extremely dispersive water waves: derivation and analysis",
153 AUTHOR = "Madsen, P.A. and Bingham, H.B. and Liu, H.",
154 TITLE = "A new Boussinesq method for fully nonlinear waves from shallow to deep water",
162 AUTHOR = "Agnon, Y. and Madsen, P. A. and Sch{\"a}ffer",
163 TITLE = "{A new approach to high-order Boussinesq models.}",
170 @article {ch7:LynettEtAl2004a,
171 AUTHOR = {Lynett, P. and Liu, P.L.-F.},
172 TITLE = {A two-layer approach to wave modelling},
173 JOURNAL = {Proc. Roy. Soc. London Ser. A},
174 FJOURNAL = {Proceedings of the Royal Society. London. Series A.
175 Mathematical, Physical and Engineering Sciences},
181 @incollection {ch7:TsaiYue1996,
182 AUTHOR = {Tsai, Wu-ting and Yue, Dick K. P.},
183 TITLE = {Computation of nonlinear free-surface flows},
184 BOOKTITLE = {Annual review of fluid mechanics, Vol.\ 28},
186 PUBLISHER = {Annual Reviews},
187 ADDRESS = {Palo Alto, CA},
189 MRCLASS = {76Mxx (76D05)},
190 MRNUMBER = {MR1371167 (96i:76086)},
193 @article {ch7:LynettEtAl2004b,
194 AUTHOR = {Lynett, P. and Liu, P.L.-F.},
195 TITLE = {Linear analysis of the multi-layer model},
202 @article {ch7:DiasBridges2006,
203 AUTHOR = {Dias, Fr{\'e}d{\'e}ric and Bridges, Thomas J.},
204 TITLE = {The numerical computation of freely propagating time-dependent
205 irrotational water waves},
206 JOURNAL = {Fluid Dynam. Res.},
207 FJOURNAL = {Japan Society of Fluid Mechanics. Fluid Dynamics Research. An
208 International Journal},
215 MRCLASS = {76B15 (35Q35 37N10 76Mxx)},
216 MRNUMBER = {MR2270649 (2007h:76017)},
220 @article {ch7:ChazelEtAl2010,
221 AUTHOR = {Chazel, F. and Benoit, M. and Ern, A. and Piperno, S.},
222 TITLE = {A double-layer Boussinesq-type model for highly nonlinear and dispersive waves},
223 JOURNAL = {Proc. Roy. Soc. London Ser. A},
224 FJOURNAL = {Proceedings of the Royal Society. London. Series A.
225 Mathematical, Physical and Engineering Sciences},
228 PAGES = {2319--2346},
233 AUTHOR = "Larsen, J. and Dancy, H.",
234 TITLE = "Open boundaries in short wave simulations - a new approach",
242 @incollection {ch7:Yeung1982,
243 AUTHOR = {Yeung, Ronald W.},
244 TITLE = {Numerical methods in free-surface flows},
245 BOOKTITLE = {Annual review of fluid mechanics, Vol. 14},
247 PUBLISHER = {Annual Reviews},
248 ADDRESS = {Palo Alto, Calif.},
250 MRCLASS = {76B15 (76-08)},
251 MRNUMBER = {MR642543 (83k:76016)},
252 MRREVIEWER = {H. K. Cheng},
255 @article{ch7:Cavaleri2007603,
256 title = "Wave modelling - The state of the art",
257 journal = "Progress in Oceanography",
264 doi = "10.1016/j.pocean.2007.05.005",
265 url = "http://www.sciencedirect.com/science/article/pii/S0079661107001206",
266 author = "L. Cavaleri and J.-H.G.M. Alves and F. Ardhuin and A. Babanin and M. Banner and K. Belibassakis and M. Benoit and M. Donelan and J. Groeneweg and T.H.C. Herbers and P. Hwang and P.A.E.M. Janssen and T. Janssen and I.V. Lavrenov and R. Magne and J. Monbaliu and M. Onorato and V. Polnikov and D. Resio and W.E. Rogers and A. Sheremet and J. McKee Smith and H.L. Tolman and G. van Vledder and J. Wolf and I. Young",
267 keywords = "Wind waves",
268 keywords = "Wind
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269 keywords = "Wave
\89ÛÒwave interaction",
270 keywords = "Wave propagation",
271 keywords = "Wave dissipation",
272 keywords = "Wave
\89ÛÒcurrent interaction",
273 keywords = "Numerics"
276 @ARTICLE{ch7:Auzinger1987,
277 AUTHOR = "Auzinger, W.",
278 TITLE = "Defect Corrections for Multigrid Solutions of the Dirichlet Problem in General Domains",
279 JOURNAL = "Mathematics of Computation",
286 @ARTICLE{ch7:Stetter1978,
287 AUTHOR = "Stetter, H. J.",
288 TITLE = "The defect correction principle and discretization methods",
289 JOURNAL = "Numer. Math.",
295 @BOOK{ch7:AuzingerStetter1982,
296 AUTHOR = "Auzinger, W. and Stetter, H. J.",
297 TITLE = "Defect corrections and multigrid iterations",
298 BOOKTITLE = "Multigrid Methods",
301 PUBLISHER = "Springer-Verlag, New York.",
305 @BOOK{ch7:Hackbusch1982,
306 AUTHOR = "Hackbusch W.",
307 TITLE = "On multigrid iterations with defect correction. In: Hackbusch, W.; Trottenberg, U. (eds): Lecture Notes in Math.",
308 BOOKTITLE = "Multigrid Methods",
311 PUBLISHER = "Springer-Verlag, New York.",
315 @article {ch7:MR744926,
316 AUTHOR = {Schaffer, Steve},
317 TITLE = {Higher order multigrid methods},
318 JOURNAL = {Math. Comp.},
319 FJOURNAL = {Mathematics of Computation},
326 MRCLASS = {65N05 (65N10 65N50)},
327 MRNUMBER = {MR744926 (85f:65101)},
328 MRREVIEWER = {S. F. McCormick},
329 DOI = {10.2307/2007401},
330 URL = {http://dx.doi.org.globalproxy.cvt.dk/10.2307/2007401},
333 @Book{ch7:Trottenberg01, author = "U. Trottenberg and C. W. Oosterlee and A. Schuller and contributions by A. Brandt and P. Oswald and K. Stuben", title = "Multigrid", publisher = "Academic Press", address = "San Diego, CA", year = "2001", keywords = "book, text, parallel numeric algorithms, theory, CFD,", abstract = "SCAI, GMD algorithms.", }
335 @ARTICLE{ch7:LaytonEtAl2002,
336 AUTHOR = {Layton, W. and Lee, H. K. and Peterson, J.},
337 TITLE = {A defect-correction method for the incompressible Navier-Stokes equations},
338 JOURNAL = {Appl. Math. Comput.},
345 @article{ch7:Keyes201170,
346 title = "Exaflop/s: The why and the how",
347 journal = "Comptes Rendus Mecanique",
353 doi = "10.1016/j.crme.2010.11.002",
354 url = "http://www.sciencedirect.com/science/article/pii/S1631072110002032",
355 author = "David E. Keyes",
356 keywords = "Computer science",
357 keywords = "Exaflop",
358 keywords = "Informatiquealgorithmique",
362 @misc{ ch7:lessismore,
363 author = "Feldman, M.",
364 title = "Less is More: Exploiting Single Precision Math in HPC",
366 url = "http://archive.hpcwire.com/hpc/692906.html"
369 @PHDTHESIS{ch7:ENG06,
370 AUTHOR = "Engsig-Karup, A. P.",
371 TITLE = "Unstructured Nodal {DG-FEM} solution of high-order Boussinesq-type equations",
372 SCHOOL = "PhD. Thesis. Department of Mechanical Engineering, Technical University of Denmark",
376 @book{ch7:Whalin1971,
377 title={The Limit of Applicability of Linear Wave Refraction Theory in a Convergence Zone},
378 author={Whalin, R.W. and United States. Army. Corps of Engineers and Waterways Experiment Station (U.S.)},
379 series={Research report},
380 url={http://books.google.dk/books?id=wwvWSgAACAAJ},
382 publisher={Waterways Experiment Station}
385 @article{ch7:AbottEtAl1984,
386 author = "Abott, M.B. and McCowan, A.D. and Warren, I.R.",
387 title = "Accuracy of short-wave numerical models",
388 journal = "ASCE Journal of Hydraulic Engineering",
391 pages = "1287--1301",
395 @article{ch7:AbottEtAl1978,
396 author = "Abott, M.B. Petersens, H.M. and Skovgaard, O.",
397 title = "On the numerical modelling of short waves in shallow water",
398 journal = "Journal of Hydraulic Research",
406 AUTHOR = "Madsen, P.A. and Sch{\"{a}}ffer, H. A.",
407 TITLE = "Higher order Boussinesq-type equations for surface gravity waves - derivation and analysis.",
408 JOURNAL = "In Advances in Coastal and Ocean Engineering",
414 @article{ch7:Peregrine1967,
415 author = "Peregrine, D.H.",
416 title = "Long waves on a beach",
417 journal = "Journal of Fluid Mechanics",
424 @booklet{ch7:Greenbaum:1997vm,
425 title = {{Iterative methods for solving linear systems}},
426 author = {Greenbaum, A},
432 @ARTICLE{ch7:GlimbergEtAl2012,
433 AUTHOR = {Stefan L. Glimberg and Allan P. Engsig-Karup},
434 TITLE = {On a Multi-GPU Implementation of a Free Surface Water Wave Model for Large-scale Simulations},
435 JOURNAL = {Submitted to: Special Issue of the Journal Parallel Computing},
437 volume = {7th Special Issue devoted to PMAA 2012},
441 title = {Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial
442 Differential Equations},
443 publisher = {Cambridge University Press},
445 author = {B. F. Smith and P. E. Bj{\o}rstad and W. D. Gropp},
446 address = {New York},
453 author = {M. Gander and S. Vandewalle},
454 title = {Analysis of the parareal time-parallel time-integration method},
455 journal = {SIAM Journal of scientific computing},
463 author = {J.-L. Lions and Y. Maday and G. Turinici},
464 title = {R\'{e}solution d'EDP par un sch\'{e}ma en temps parar\'{e}el},
465 journal = {C.R. Acad Sci. Paris S\'{e}r. I math},
472 author = {L. Baffico and S. Bernard and Y. Maday and G. Turinici and G. Z\'{e}rah},
473 title = {Parallel in time molecular dynamics simulations},
474 journal = {Physical Review E.},
481 @mastersthesis{ch7:ASNP12,
482 author = {Allan S. Nielsen},
483 title = {Feasibility study of the Parareal algorithm},
484 school = {Technical University of Denmark, Department of Informatics and Mathematical Modeling},
486 type = {Master Thesis}
489 @Book{ch7:Higham:2002:ASN,
490 author = "Nicholas J. Higham",
491 title = "Accuracy and Stability of Numerical Algorithms",
492 publisher = "Society for Industrial and Applied Mathematics",
493 address = "Philadelphia, PA, USA",
497 ISBN = "0-89871-521-0"
500 @article{ch7:Dean1965,
501 author = {Dean, R. G.},
502 title = {Stream Function Representation of Nonlinear Ocean Waves},
503 journal = {J. Geophys. Res.},
507 pages = {4561--4572},
508 doi = {10.1029/JZ070i018p04561}
512 AUTHOR = "Svendsen, I. A. and Jonsson, I. G.",
513 TITLE = "Hydrodynamics of coastal regions",
514 PUBLISHER = "Technical University of Denmark",
518 @article{ch7:Bingham2009467,
519 title = "Velocity potential formulations of highly accurate Boussinesq-type models",
520 journal = "Coastal Engineering",
527 doi = "10.1016/j.coastaleng.2008.10.012",
528 url = "http://www.sciencedirect.com/science/article/pii/S0378383908001865",
529 author = "Harry B. Bingham and Per A. Madsen and David R. Fuhrman",
530 keywords = "Boussinesq-type equations",
531 keywords = "Nonlinear waves",
532 keywords = "Potential flow",
533 keywords = "Finite difference method",
534 keywords = "Bragg scattering",
535 keywords = "Wave reflection/transmission"
538 @INPROCEEDINGS{ch7:LindbergEtAlIWWWFB2012,
539 author = {Lindberg, O. and Bingham, H. B. and Engsig-Karup, A. P. and Madsen, P. A.},
540 title = {Toward Real Time Simulation of Ship-Ship Interaction},
541 booktitle = {The 27th International Workshop on Water Waves and Floating Bodies},
545 @article{ch7:RavenJMST2010,
546 author = {Raven, H. C.},
547 title = {Validation of an approach to analyse and understand ship wave making},
548 journal = {Journal of Maritime Science and Technology},
554 @article{ch7:DgayguiJolySJAM1994,
555 author = {Dgaygui, K. and Joly, P.},
556 title = {Absorbing Boundary Conditions For Linear Gravity Waves},
557 journal = {SIAM Journal of Applied Mathematics},
563 @article{ch7:TodaEtAl1992,
564 author = {Toda, Y. and Stern, F. and Longo, J.},
565 title = {Mean-Flow Measurement in the Boundary-Layer and Wave and Wave Field of a Series 60-CB 0.6 Ship Model. Froude Numbers 0.16 and 0.316},
566 journal = {Journal of Ship Research},
573 AUTHOR = "Press, W. H. and Teukolsky, S. A.",
574 TITLE = "Savitzky-Golay smoothening filters",
575 JOURNAL = "Computers in Physics",