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 = {S. L. Glimberg and A. P. Engsig-Karup and M. G. Madsen},
59 TITLE = "{A Fast GPU-accelerated Mixed-precision Strategy for Fully Nonlinear Water Wave Computations}",
60 BOOKTITLE = {Proceedings of ENUMATH 2011, the 9th European Conference on Numerical Mathematics and Advanced Applications, Leicester, September},
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",
76 AUTHOR = "Eskilsson, C. and Engsig-Karup, A. P.",
77 TITLE = "On devising Boussinesq-type models with bounded eigenspectra: One horizontal dimension",
79 JOURNAL = "Submitted to Journal of Computational Physics",
82 @ARTICLE{ch7:LiFleming1997,
83 AUTHOR = "Li, B. and Fleming, C. A.",
84 TITLE = "A three dimensional multigrid model for fully nonlinear water waves",
91 @article{ch7:RobertsonSherwin1999,
92 AUTHOR = "Robertson, I. and Sherwin, S.",
93 TITLE = "Free-surface flow simulation using hp/Spectral elements",
101 title={Numerical Modeling of Water Waves},
103 isbn={9780203937754},
105 publisher={Taylor \& Francis}
108 @INPROCEEDINGS{ch7:LindbergEtAl2012b,
109 AUTHOR = " Lindberg, O. and Bingham, H. B. and Engsig-Karup, A. P. and Madsen, P.",
110 TITLE = "Towards Real Time Simulation of Ship-Ship Interaction",
111 BOOKTITLE = "Proceedings of The 27th International Workshop on Water Waves and Floating Bodies (IWWWFB)",
112 ADDRESS = "Kongens Lyngby, Denmark",
116 @article {ch7:DucrozetEtAl2011,
117 author = {Ducrozet, G. and Bingham, H. B. and Engsig-Karup, A.P. and Bonnefoy, F. and Ferrant, P.},
118 title = {A comparative study of two fast nonlinear free-surface water wave models},
119 journal = {International Journal for Numerical Methods in Fluids},
122 publisher = {John Wiley & Sons, Ltd},
124 url = {http://dx.doi.org/10.1002/fld.2672},
125 doi = {10.1002/fld.2672},
126 pages = {1818--1834},
127 keywords = {hydrodynamics, water waves, high-order finite differences, high-order spectral, OceanWave3D, numerical comparisons},
131 @INPROCEEDINGS{ch7:HenshawEtAll1996,
132 AUTHOR = "Henshaw, W. D.",
133 TITLE = "Overture: An Object-Oriented System for Solving PDEs in Moving Geometries on Overlapping Grids Using C++",
134 EDITOR = "Sakell, L. and Knight, D. D.",
135 BOOKTITLE = "Proceedings of the first AFOSR Conference on Dynamic Motion CFD",
140 @INPROCEEDINGS{ch7:HausslingVanEseltine1975,
141 AUTHOR = "Haussling, H. J. and Van Eseltine, R. T.",
142 TITLE = "Finite-difference methods for transient potential flows with free surfaces",
143 EDITOR = "J. W. et al.",
144 BOOKTITLE = "Proceedings of the Int. Conf. Num. Ship. Hydrodyn.",
146 PUBLISHER = "Berkely: Univ. Extension Publ.",
150 @ARTICLE{ch7:BinghamZhang2007,
151 AUTHOR = "Bingham, H. B. and Zhang, H.",
152 TITLE = "On the accuracy of finite-difference solutions for nonlinear water waves",
160 AUTHOR = "Madsen, P. A. and Bingham, H. B. and Sch{\"a}ffer, H. A.",
161 TITLE = "Boussinesq-type formulations for fully nonlinear and extremely dispersive water waves: derivation and analysis",
169 AUTHOR = "Madsen, P. A. and Bingham, H. B. and Liu, H.",
170 TITLE = "A new Boussinesq method for fully nonlinear waves from shallow to deep water",
178 AUTHOR = "Agnon, Y. and Madsen, P. A. and Sch{\"a}ffer",
179 TITLE = "{A new approach to high-order Boussinesq models.}",
186 @article {ch7:LynettEtAl2004a,
187 AUTHOR = {Lynett, P. and Liu, P. L.-F.},
188 TITLE = {A two-layer approach to wave modelling},
189 JOURNAL = {Proc. Roy. Soc. London Ser. A},
190 FJOURNAL = {Proceedings of the Royal Society. London. Series A.
191 Mathematical, Physical and Engineering Sciences},
197 @incollection {ch7:TsaiYue1996,
198 AUTHOR = {Tsai, W. and Yue, D. K. P.},
199 TITLE = {Computation of Nonlinear Free-surface Flows},
200 BOOKTITLE = {Annual Review of Fluid Mechanics, Vol.\ 28},
202 PUBLISHER = {Annual Reviews},
203 ADDRESS = {Palo Alto, CA},
205 MRCLASS = {76Mxx (76D05)},
206 MRNUMBER = {MR1371167 (96i:76086)},
209 @article {ch7:LynettEtAl2004b,
210 AUTHOR = {Lynett, P. and Liu, P. L.-F.},
211 TITLE = {Linear analysis of the multi-layer model},
218 @article {ch7:DiasBridges2006,
219 AUTHOR = {Dias, F. and Bridges, T. J.},
220 TITLE = {The numerical computation of freely propagating time-dependent
221 irrotational water waves},
222 JOURNAL = {Fluid Dynam. Res.},
223 FJOURNAL = {Japan Society of Fluid Mechanics. Fluid Dynamics Research. An
224 International Journal},
231 MRCLASS = {76B15 (35Q35 37N10 76Mxx)},
232 MRNUMBER = {MR2270649 (2007h:76017)},
236 @article {ch7:ChazelEtAl2010,
237 AUTHOR = {Chazel, F. and Benoit, M. and Ern, A. and Piperno, S.},
238 TITLE = {A double-layer Boussinesq-type model for highly nonlinear and dispersive waves},
239 JOURNAL = {Proc. Roy. Soc. London Ser. A},
240 FJOURNAL = {Proceedings of the Royal Society. London. Series A.
241 Mathematical, Physical and Engineering Sciences},
244 PAGES = {2319--2346},
249 AUTHOR = "Larsen, J. and Dancy, H.",
250 TITLE = "Open boundaries in short wave simulations - a new approach",
258 @incollection {ch7:Yeung1982,
259 AUTHOR = {Yeung, R. W.},
260 TITLE = {Numerical methods in free-surface flows},
261 BOOKTITLE = {Annual Review of Fluid Mechanics, Vol. 14},
263 PUBLISHER = {Annual Reviews},
264 ADDRESS = {Palo Alto, Calif.},
266 MRCLASS = {76B15 (76-08)},
267 MRNUMBER = {MR642543 (83k:76016)},
268 MRREVIEWER = {H. K. Cheng},
271 @article{ch7:Cavaleri2007603,
272 title = "Wave modelling - The state of the art",
273 journal = "Progress in Oceanography",
280 doi = "10.1016/j.pocean.2007.05.005",
281 url = "http://www.sciencedirect.com/science/article/pii/S0079661107001206",
282 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",
283 keywords = "Wind waves",
284 keywords = "Windï¾
\9bÒwave generation",
285 keywords = "Waveï¾
\9bÒwave interaction",
286 keywords = "Wave propagation",
287 keywords = "Wave dissipation",
288 keywords = "Waveï¾
\9bÒcurrent interaction",
289 keywords = "Numerics"
292 @ARTICLE{ch7:Auzinger1987,
293 AUTHOR = "Auzinger, W.",
294 TITLE = "Defect Corrections for Multigrid Solutions of the Dirichlet Problem in General Domains",
295 JOURNAL = "Mathematics of Computation",
302 @ARTICLE{ch7:Stetter1978,
303 AUTHOR = "Stetter, H. J.",
304 TITLE = "The defect correction principle and discretization methods",
305 JOURNAL = "Numer. Math.",
311 @INCOLLECTION{ch7:AuzingerStetter1982,
312 AUTHOR = "Auzinger, W. and Stetter, H. J.",
313 TITLE = "{Defect Corrections and Multigrid Iterations}",
314 BOOKTITLE = "Multigrid Methods",
317 PUBLISHER = "Springer-Verlag, New York.",
321 @INCOLLECTION{ch7:Hackbusch1982,
322 AUTHOR = "Hackbusch, W.",
323 TITLE = "On Multigrid iterations with Defect Correction. In: Hackbusch, W.; Trottenberg, U. (eds): Lecture Notes in Math.",
324 BOOKTITLE = "Multigrid Methods",
327 PUBLISHER = "Springer-Verlag, New York.",
331 @article {ch7:MR744926,
332 AUTHOR = {Schaffer, S.},
333 TITLE = {Higher order multigrid methods},
334 JOURNAL = {Math. Comp.},
335 FJOURNAL = {Mathematics of Computation},
342 MRCLASS = {65N05 (65N10 65N50)},
343 MRNUMBER = {MR744926 (85f:65101)},
344 MRREVIEWER = {S. F. McCormick},
345 DOI = {10.2307/2007401},
346 URL = {http://dx.doi.org.globalproxy.cvt.dk/10.2307/2007401},
349 @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.", }
351 @ARTICLE{ch7:LaytonEtAl2002,
352 AUTHOR = {Layton, W. and Lee, H. K. and Peterson, J.},
353 TITLE = "{A defect-correction method for the incompressible Navier-Stokes equations}",
354 JOURNAL = {Appl. Math. Comput.},
361 @article{ch7:Keyes201170,
362 title = "Exaflop/s: The why and the how",
363 journal = "Comptes Rendus Mecanique",
369 doi = "10.1016/j.crme.2010.11.002",
370 url = "http://www.sciencedirect.com/science/article/pii/S1631072110002032",
371 author = "D. E. Keyes",
372 keywords = "Computer science",
373 keywords = "Exaflop",
374 keywords = "Informatiquealgorithmique",
378 @misc{ ch7:lessismore,
379 author = "Feldman, M.",
380 title = "{Less is More: Exploiting Single Precision Math in HPC}",
382 howpublished = "http://archive.hpcwire.com/hpc/692906.html"
385 @PHDTHESIS{ch7:ENG06,
386 AUTHOR = "Engsig-Karup, A. P.",
387 TITLE = "Unstructured Nodal {DG-FEM} solution of high-order Boussinesq-type equations",
388 SCHOOL = "Department of Mechanical Engineering, Technical University of Denmark",
390 howpublished = "http://orbit.dtu.dk/en/publications/id(52502078-1608-4799-8e55-41f60bb92db6).html"
393 @book{ch7:Whalin1971,
394 title={The Limit of Applicability of Linear Wave Refraction Theory in a Convergence Zone},
395 author={Whalin, R. W. and United States Army. Corps of Engineers and Waterways Experiment Station (U.S.)},
396 series={Research report},
397 url={http://books.google.dk/books?id=wwvWSgAACAAJ},
399 publisher={Waterways Experiment Station}
402 @article{ch7:AbottEtAl1984,
403 author = "Abott, M. B. and McCowan, A. D. and Warren, I. R.",
404 title = "Accuracy of short-wave numerical models",
405 journal = "ASCE Journal of Hydraulic Engineering",
408 pages = "1287--1301",
412 @article{ch7:AbottEtAl1978,
413 author = "Abott, M. B. Petersens, H. M. and Skovgaard, O.",
414 title = "On the numerical modelling of short waves in shallow water",
415 journal = "Journal of Hydraulic Research",
423 AUTHOR = "Madsen, P. A. and Sch{\"{a}}ffer, H. A.",
424 TITLE = "Higher order Boussinesq-type equations for surface gravity waves - derivation and analysis.",
425 JOURNAL = "Advances in Coastal and Ocean Engineering",
431 @article{ch7:Peregrine1967,
432 author = "Peregrine, D. H.",
433 title = "Long waves on a beach",
434 journal = "Journal of Fluid Mechanics",
441 @booklet{ch7:Greenbaum:1997vm,
442 title = {{Iterative methods for solving linear systems}},
443 author = {Greenbaum, A},
449 @ARTICLE{ch7:GlimbergEtAl2012,
450 AUTHOR = {S. L. Glimberg and A. P. Engsig-Karup},
451 TITLE = "{On a Multi-GPU Implementation of a Free Surface Water Wave Model for Large-scale Simulations}",
452 JOURNAL = "{Submitted to a Special Issue of the Journal Parallel Computing}",
454 volume = {7th Special Issue devoted to PMAA},
458 title = {Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial
459 Differential Equations},
460 publisher = {Cambridge University Press},
462 author = {B. F. Smith and P. E. Bj{\o}rstad and W. D. Gropp},
463 address = {New York},
470 author = {M. Gander and S. Vandewalle},
471 title = {Analysis of the parareal time-parallel time-integration method},
472 journal = {SIAM Journal of Scientific Computing},
480 author = {J.-L. Lions and Y. Maday and G. Turinici},
481 title = {R\'{e}solution d'EDP par un sch\'{e}ma en temps parar\'{e}el},
482 journal = {C.R. Acad Sci. Paris S\'{e}r. I Math},
489 author = {L. Baffico and S. Bernard and Y. Maday and G. Turinici and G. Z\'{e}rah},
490 title = {Parallel in time molecular dynamics simulations},
491 journal = {Physical Review E.},
498 @mastersthesis{ch7:ASNP12,
499 author = {A. S. Nielsen},
500 title = {Feasibility study of the Parareal algorithm},
501 school = {Technical University of Denmark, Department of Informatics and Mathematical Modeling},
503 type = {Master Thesis}
506 @Book{ch7:Higham:2002:ASN,
507 author = "N. J. Higham",
508 title = "Accuracy and Stability of Numerical Algorithms",
509 publisher = "Society for Industrial and Applied Mathematics",
510 address = "Philadelphia, PA, USA",
514 ISBN = "0-89871-521-0"
517 @article{ch7:Dean1965,
518 author = {Dean, R. G.},
519 title = {Stream Function Representation of Nonlinear Ocean Waves},
520 journal = {J. Geophys. Res.},
524 pages = {4561--4572},
525 doi = {10.1029/JZ070i018p04561}
529 AUTHOR = "Svendsen, I. A. and Jonsson, I. G.",
530 TITLE = "Hydrodynamics of Coastal Regions",
531 PUBLISHER = "Technical University of Denmark",
532 ADDRESS = "Kongens Lyngby",
536 @article{ch7:Bingham2009467,
537 title = "Velocity potential formulations of highly accurate Boussinesq-type models",
538 journal = "Coastal Engineering",
545 doi = "10.1016/j.coastaleng.2008.10.012",
546 url = "http://www.sciencedirect.com/science/article/pii/S0378383908001865",
547 author = "H. B. Bingham and P. A. Madsen and D. R. Fuhrman",
548 keywords = "Boussinesq-type equations",
549 keywords = "Nonlinear waves",
550 keywords = "Potential flow",
551 keywords = "Finite difference method",
552 keywords = "Bragg scattering",
553 keywords = "Wave reflection/transmission"
557 @INPROCEEDINGS{ch7:LindbergEtAl2012b,
558 AUTHOR = " Lindberg, O. and Bingham, H. B. and Engsig-Karup, A. P. and Madsen, P.",
559 TITLE = "Towards Real Time Simulation of Ship-Ship Interaction",
560 BOOKTITLE = "Proceedings of The 27th International Workshop on Water Waves and Floating Bodies (IWWWFB)",
561 ADDRESS = "Kongens Lyngby, Denmark",
564 @INPROCEEDINGS{ch7:LindbergEtAlIWWWFB2012,
565 AUTHOR = " Lindberg, O. and Bingham, H. B. and Engsig-Karup, A. P. and Madsen, P.",
566 TITLE = "Towards Real Time Simulation of Ship-Ship Interaction",
567 BOOKTITLE = "Proceedings of The 27th International Workshop on Water Waves and Floating Bodies (IWWWFB)",
568 ADDRESS = "Kongens Lyngby, Denmark",
572 @article{ch7:RavenJMST2010,
573 author = {Raven, H. C.},
574 title = {Validation of an approach to analyse and understand ship wave making},
575 journal = {Journal of Maritime Science and Technology},
581 @article{ch7:DgayguiJolySJAM1994,
582 author = {Dgaygui, K. and Joly, P.},
583 title = {Absorbing Boundary Conditions For Linear Gravity Waves},
584 journal = {SIAM Journal of Applied Mathematics},
590 @article{ch7:TodaEtAl1992,
591 author = {Toda, Y. and Stern, F. and Longo, J.},
592 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},
593 journal = {Journal of Ship Research},
600 AUTHOR = "Press, W. H. and Teukolsky, S. A.",
601 TITLE = "{Savitzky-Golay smoothening filters}",
602 JOURNAL = "Computers in Physics",