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:Kirby03de-aliasingon,
379 author = {Kirby, R.M. and Karniadakis, G.E.},
380 title = {De-aliasing on non-uniform grids: algorithms and applications },
384 @misc{ ch7:lessismore,
385 author = "Feldman, M.",
386 title = "{Less is More: Exploiting Single Precision Math in HPC}",
388 howpublished = "http://archive.hpcwire.com/hpc/692906.html"
391 @PHDTHESIS{ch7:ENG06,
392 AUTHOR = "Engsig-Karup, A. P.",
393 TITLE = "Unstructured Nodal {DG-FEM} solution of high-order Boussinesq-type equations",
394 SCHOOL = "Department of Mechanical Engineering, Technical University of Denmark",
396 howpublished = "http://orbit.dtu.dk/en/publications/id(52502078-1608-4799-8e55-41f60bb92db6).html"
399 @book{ch7:Whalin1971,
400 title={The Limit of Applicability of Linear Wave Refraction Theory in a Convergence Zone},
401 author={Whalin, R. W. and United States Army. Corps of Engineers and Waterways Experiment Station (U.S.)},
402 series={Research report},
403 url={http://books.google.dk/books?id=wwvWSgAACAAJ},
405 publisher={Waterways Experiment Station}
408 @article{ch7:AbottEtAl1984,
409 author = "Abott, M. B. and McCowan, A. D. and Warren, I. R.",
410 title = "Accuracy of short-wave numerical models",
411 journal = "ASCE Journal of Hydraulic Engineering",
414 pages = "1287--1301",
418 @article{ch7:AbottEtAl1978,
419 author = "Abott, M. B. and Petersens, H. M. and Skovgaard, O.",
420 title = "On the numerical modelling of short waves in shallow water",
421 journal = "Journal of Hydraulic Research",
429 AUTHOR = "Madsen, P. A. and Sch{\"{a}}ffer, H. A.",
430 TITLE = "Higher order Boussinesq-type equations for surface gravity waves--derivation and analysis.",
431 JOURNAL = "Advances in Coastal and Ocean Engineering",
437 @article{ch7:Peregrine1967,
438 author = "Peregrine, D. H.",
439 title = "Long waves on a beach",
440 journal = "Journal of Fluid Mechanics",
447 @booklet{ch7:Greenbaum:1997vm,
448 title = {{Iterative methods for solving linear systems}},
449 author = {Greenbaum, A},
455 @ARTICLE{ch7:GlimbergEtAl2012,
456 AUTHOR = {S. L. Glimberg and A. P. Engsig-Karup},
457 TITLE = "{On a Multi-GPU Implementation of a Free Surface Water Wave Model for Large-scale Simulations}",
458 JOURNAL = "{Submitted to a Special Issue of the Journal Parallel Computing}",
460 volume = {7th Special Issue devoted to PMAA},
464 title = {Domain Decomposition: Parallel Multilevel Methods for Elliptic Partial
465 Differential Equations},
466 publisher = {Cambridge University Press},
468 author = {B. F. Smith and P. E. Bj{\o}rstad and W. D. Gropp},
469 address = {New York},
476 author = {M. Gander and S. Vandewalle},
477 title = {Analysis of the parareal time-parallel time-integration method},
478 journal = {SIAM Journal of Scientific Computing},
486 author = {J.-L. Lions and Y. Maday and G. Turinici},
487 title = {R\'{e}solution d'EDP par un sch\'{e}ma en temps parar\'{e}el},
488 journal = {C.R. Acad Sci. Paris S\'{e}r. I Math},
495 author = {L. Baffico and S. Bernard and Y. Maday and G. Turinici and G. Z\'{e}rah},
496 title = {Parallel in time molecular dynamics simulations},
497 journal = {Physical Review E.},
504 @mastersthesis{ch7:ASNP12,
505 author = {A. S. Nielsen},
506 title = {Feasibility study of the Parareal algorithm},
507 school = {Technical University of Denmark, Department of Informatics and Mathematical Modeling},
509 type = {Master Thesis}
512 @Book{ch7:Higham:2002:ASN,
513 author = "N. J. Higham",
514 title = "Accuracy and Stability of Numerical Algorithms",
515 publisher = "Society for Industrial and Applied Mathematics",
516 address = "Philadelphia, PA, USA",
520 ISBN = "0-89871-521-0"
523 @article{ch7:Dean1965,
524 author = {Dean, R. G.},
525 title = {Stream Function Representation of Nonlinear Ocean Waves},
526 journal = {J. Geophys. Res.},
530 pages = {4561--4572},
531 doi = {10.1029/JZ070i018p04561}
535 AUTHOR = "Svendsen, I. A. and Jonsson, I. G.",
536 TITLE = "Hydrodynamics of Coastal Regions",
537 PUBLISHER = "Technical University of Denmark",
538 ADDRESS = "Kongens Lyngby",
542 @article{ch7:Bingham2009467,
543 title = "Velocity potential formulations of highly accurate Boussinesq-type models",
544 journal = "Coastal Engineering",
551 doi = "10.1016/j.coastaleng.2008.10.012",
552 url = "http://www.sciencedirect.com/science/article/pii/S0378383908001865",
553 author = "H. B. Bingham and P. A. Madsen and D. R. Fuhrman",
554 keywords = "Boussinesq-type equations",
555 keywords = "Nonlinear waves",
556 keywords = "Potential flow",
557 keywords = "Finite difference method",
558 keywords = "Bragg scattering",
559 keywords = "Wave reflection/transmission"
563 @INPROCEEDINGS{ch7:LindbergEtAl2012b,
564 AUTHOR = " Lindberg, O. and Bingham, H. B. and Engsig-Karup, A. P. and Madsen, P.",
565 TITLE = "Towards Real Time Simulation of Ship-Ship Interaction",
566 BOOKTITLE = "Proceedings of The 27th International Workshop on Water Waves and Floating Bodies (IWWWFB)",
567 ADDRESS = "Kongens Lyngby, Denmark",
570 @INPROCEEDINGS{ch7:LindbergEtAlIWWWFB2012,
571 AUTHOR = " Lindberg, O. and Bingham, H. B. and Engsig-Karup, A. P. and Madsen, P.",
572 TITLE = "Towards Real Time Simulation of Ship-Ship Interaction",
573 BOOKTITLE = "Proceedings of The 27th International Workshop on Water Waves and Floating Bodies (IWWWFB)",
574 ADDRESS = "Kongens Lyngby, Denmark",
578 @article{ch7:RavenJMST2010,
579 author = {Raven, H. C.},
580 title = {Validation of an approach to analyse and understand ship wave making},
581 journal = {Journal of Maritime Science and Technology},
587 @article{ch7:DgayguiJolySJAM1994,
588 author = {Dgaygui, K. and Joly, P.},
589 title = {Absorbing Boundary Conditions For Linear Gravity Waves},
590 journal = {SIAM Journal of Applied Mathematics},
596 @article{ch7:TodaEtAl1992,
597 author = {Toda, Y. and Stern, F. and Longo, J.},
598 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},
599 journal = {Journal of Ship Research},
606 AUTHOR = "Press, W. H. and Teukolsky, S. A.",
607 TITLE = "{Savitzky-Golay smoothening filters}",
608 JOURNAL = "Computers in Physics",