refs.bib 13.9 KB
Newer Older
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
@inbook{MenDeG14,
	Annote = {doi:10.2514/6.2014-2923},
	Author = {Gianmarco Mengaldo and Daniele De Grazia and Freddie Witherden and Antony Farrington and Peter Vincent and Spencer Sherwin and Joaquim Peiro},
	Booktitle = {7th AIAA Theoretical Fluid Mechanics Conference},
	Date-Added = {2014-08-10 14:59:03 +0000},
	Date-Modified = {2014-08-10 14:59:20 +0000},
	Doi = {doi:10.2514/6.2014-2923},
	M1 = {0},
	M3 = {doi:10.2514/6.2014-2923},
	Month = {2014/08/10},
	Publisher = {American Institute of Aeronautics and Astronautics},
	Title = {A Guide to the Implementation of Boundary Conditions in Compact High-Order Methods for Compressible Aerodynamics},
	Title1 = {AIAA Aviation},
	Ty = {CHAP},
	Url = {http://dx.doi.org/10.2514/6.2014-2923},
	Year = {2014},
	Year1 = {2014/06/13},
	Bdsk-Url-1 = {http://dx.doi.org/10.2514/6.2014-2923}}

@article{DeGMen14,
	Author = {De Grazia, D. and Mengaldo, G. and Moxey, D. and Vincent, P. E. and Sherwin, S. J.},
	Date-Added = {2014-08-10 14:57:35 +0000},
	Date-Modified = {2014-08-10 14:58:04 +0000},
	Doi = {10.1002/fld.3915},
	Issn = {1097-0363},
	Journal = {International Journal for Numerical Methods in Fluids},
	Keywords = {flux reconstruction, spectral/hp element methods, discontinuous Galerkin, tensor-product grids, collocation},
	Number = {12},
	Pages = {860--877},
	Title = {Connections between the discontinuous Galerkin method and high-order flux reconstruction schemes},
	Url = {http://dx.doi.org/10.1002/fld.3915},
	Volume = {75},
	Year = {2014},
	Bdsk-Url-1 = {http://dx.doi.org/10.1002/fld.3915}}

@book{Toro09,
	Author = {E.F. Toro},
	Date-Added = {2014-08-10 14:25:57 +0000},
	Date-Modified = {2014-08-10 14:28:06 +0000},
	Publisher = {Springer},
	Title = {Riemann Solvers and Numerical methods for Fluid Dynamics, 3rd edition},
	Year = {2009}}

44
@misc{nektar-website,
45
46
47
48
	Title = {Nektar++: Spectral/hp element framework},
	Url = {http://www.nektar.info},
	Year = 2014,
	Bdsk-Url-1 = {http://www.nektar.info}}
Dave Moxey's avatar
Dave Moxey committed
49
50

@article{VoShKi10,
51
52
53
54
55
56
57
58
	Author = {Vos, Peter EJ and Sherwin, Spencer J and Kirby, Robert M},
	Journal = {Journal of Computational Physics},
	Number = 13,
	Pages = {5161--5181},
	Publisher = {Elsevier},
	Title = {From h to p efficiently: Implementing finite and spectral/hp element methods to achieve optimal performance for low-and high-order discretisations},
	Volume = 229,
	Year = 2010}
Dave Moxey's avatar
Dave Moxey committed
59
60

@article{CaShKiKe11b,
61
62
63
64
65
66
67
	Author = {Cantwell, C. D. and Sherwin, S. J. and Kirby, R. M. and Kelly, P. H. J.},
	Issue = 3,
	Journal = {Math. Mod. Nat. Phenom.},
	Pages = {84--96},
	Title = {From h to p efficiently: selecting the optimal spectral/hp discretisation in three dimensions},
	Volume = 6,
	Year = 2011}
Dave Moxey's avatar
Dave Moxey committed
68
69

@article{CaShKiKe11a,
70
71
72
73
74
75
	Author = {Cantwell, C. D. and Sherwin, S. J. and Kirby, R. M. and Kelly, P. H. J.},
	Journal = {Computers \& Fluids},
	Pages = {23--28},
	Title = {From h to p efficiently: strategy selection for operator evaluation on hexahedral and tetrahedral elements.},
	Volume = {43},
	Year = {2011}}
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124

@article{AlPa96,
    author = {R. R. Aliev and A. V. Panfilov},
    title = {A simple two-variable model of cardiac excitation},
    journal = {Chaos, Solitons \& Fractals},
    volume = {7},
    issue = {3},
    pages = {293-301},
    year = {1996},
}
    
@article{CoRaNa98,
    author = {M. Courtemanche\, R. J. Ramirez and S. Nattel},
    title = {Ionic mechanisms underlying human atrial action potential properties: insights from a mathematical model},
    journal = {American Journal of Physiology-Heart and Circulatory Physiology},
    volume = {275},
    issue = {1},
    pages = {H301-H321},
    year = {1998},
}

@article{LuRu91,
    author = {C. H. Luo and Y. Rudy},
    title = {A model of the ventricular cardiac action potential. Depolarization\, repolarization\, and their interaction},
    journal = {Circulation research},
    volume = {68},
    issue = {6},
    pages = {1501-1526},
    year = {1991},
}
    
@article{TuPa06,
    author = {K. H. W. J. ten Tusscher and A. V. Panfilov},
    title = {Alternans and spiral breakup in a human ventricular tissue model},
    journal = {American Journal of Physiology-Heart and Circulatory Physiology},
    volume = {291},
    issue = {3},
    pages = {H1088-H1100},
    year = {2006},
}

@article{NiKeBeBeBe11,
    author = {Niederer ''et al.''},
    title = {Verification of cardiac tissue electrophysiology simulators using an N-version benchmark},
    journal = {Philos Transact A Math Phys Eng Sci},
    volume = {369},
    issue = {1954},
    pages = {4331-51},
    year = {2011},
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
    }
    
@article{ShKa96,
  title={Tetrahedral< i> hp</i> Finite Elements: Algorithms and Flow Simulations},
  author={Sherwin, SJ and Karniadakis, G Em},
  journal={Journal of Computational Physics},
  volume={124},
  number={1},
  pages={14--45},
  year={1996},
  publisher={Elsevier}
}

@article{HeWa02,
  title={Nodal high-order methods on unstructured grids: I. Time-domain solution of Maxwell's equations},
  author={Hesthaven, Jan S and Warburton, Tim},
  journal={Journal of Computational Physics},
  volume={181},
  number={1},
  pages={186--221},
  year={2002},
  publisher={Elsevier}
}

@article{BeReCoLeHi09,
  title={High-order discontinuous Galerkin schemes on general 2D manifolds applied to the shallow water equations},
  author={Bernard, P-E and Remacle, J-F and Comblen, Richard and Legat, Vincent and Hillewaert, Koen},
  journal={Journal of Computational Physics},
  volume={228},
  number={17},
  pages={6514--6535},
  year={2009},
  publisher={Elsevier}
}

@book{ZiTa89,
  title={Basic formulation and linear problems},
  author={Zienkiewicz, Olgierd Cecil and Taylor, Robert Leroy},
  year={1989},
  publisher={McGraw-Hill}
}

@book{GoOr77,
  title={Numerical analysis of spectral methods},
  author={Gottlieb, David and Orszag, Steven A and MA, CAMBRIDGE HYDRODYNAMICS INC},
  year={1977},
  publisher={SIAM}
}

@article{BaSu94,
  title={The p and h-p versions of the finite element method, basic principles and properties},
  author={Babu{\v{s}}ka, Ivo and Suri, Manil},
  journal={SIAM review},
  volume={36},
  number={4},
  pages={578--632},
  year={1994},
  publisher={SIAM}
}

@article{Pa84,
  title={A spectral element method for fluid dynamics: laminar flow in a channel expansion},
  author={Patera, Anthony T},
  journal={Journal of computational Physics},
  volume={54},
  number={3},
  pages={468--488},
  year={1984},
  publisher={Elsevier}
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
}

@article{DoFf83,
    author={Dowling, AP and Ffowcs-Williams JE},
    title={Sound and sources of sound},
    journal={Ellis Horwood series in engineering science},
    year=1983
}

@article{ShFoPeFr03,
    author={Sherwin, SJ and Formaggia, L and Peiró, J and Franke, V},
    title={Computational modelling of 1D blood flow with variable
mechanical properties and its application to the simulation of wave propagation
in the human arterial system},
    journal={Int. J. Numer. Meth. Fluids},
    volume={43},
    pages={673-700},
    year={2003}
}

214
215
216
217
218
219
220
@article{JoCoSh14,
    author={Jordi, B. E. and Cotter, C. J. and Sherwin, S. J.},
    title={Encapsulated formulation of the selective frequency damping method},
    journal={Phys. Fluids},
    year={2014}
}

Dave Moxey's avatar
Dave Moxey committed
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
@article{MoHaPeSh14,
  title        = {{An isoparametric approach to high-order curvilinear
                  boundary-layer meshing}},
  author       = {Moxey, D. and Hazan, M. and Peir\'o, J. and Sherwin, S. J.},
  year         = 2014,
  doi          = {10.1016/j.cma.2014.09.019},
  journal      = {Comp. Meth. Appl. Mech. Eng.}
}

@unpublished{MoHaPeSh14b,
  title        = {{On the generation of curvilinear meshes through subdivision
                  of isoparametric elements}},
  author       = "D. Moxey and M. Hazan and J. Peir\'o and S. J. Sherwin",
  note         = "to appear in proceedings of Tetrahedron IV",
  year         = 2014
}

238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
@article{We69,
    author={Westerhof, N},
    title={Anatomic studies of the human systemic arterial tree},
    journal={J. Biomech.},
    volume={2},
    pages={121-143},
    year={1969}
}

@thesis{Ro12,
    author={Roth, CJ},
    title={Pulse Wave Propagation in the Human Vascular System},
    type={Diploma Thesis},
    year={2012}
}

@thesis{Pi12,
    author={Pignier, N},
    title={One-dimensional modelling of blood flow in the cardiovascular system},
    type={MSc Project},
    year={2012}
Yan Bao's avatar
Yan Bao committed
259
260
261
262
263
264
265
266
267
268
269
}

@article{NeKa97,
  title={A direct numerical simulation study of flow past a freely vibrating cable},
  author={Newman, David J and Karniadakis, George Em},
  journal={Journal of Fluid Mechanics},
  volume={344},
  pages={95--136},
  year={1997},
  publisher={Cambridge Univ Press}
}
270

271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
@book{KaSh05,
title={Spectral/hp Element Methods for Computational Fluid Dynamics},
author={Karniadakis, G. E. and Sherwin, S. J.},
publisher={Oxford Science Publications},
year={2005}
}

@article{Bu06,
title={General linear methods},
author={Butcher, J. C.},
journal={Acta Numerica},
volume={15},
pages={157-256},
year={2006}
}

@article{VoEsBoChKi11,
title={A generic framework for time-stepping partial differential equations (PDEs):
general linear methods, object-oriented implementation and application to fluid
problems},
author={Vos, P. E. J. and Eskilsson, C. and Bolis, A. and Chun, S. and Kirby, R. M.
and Sherwin, S. J.},
journal={International Journal of Computational Fluid Dynamics},
volume={25},
issue={3},
pages={107-125},
year={2011}
}

@article{CaMoCoBoRo15,
  title={Nektar++: An open-source spectral/hp element framework},
  author={Cantwell, CD and Moxey, D and Comerford, A and Bolis, A and Rocco, G and Mengaldo, G and De Grazia, D and Yakovlev, S and Lombard, J-E and Ekelschot, D and others},
  journal={Computer Physics Communications},
304
  volume={192},
305
  year={2015},
306
  pages={205-219},
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
  publisher={Elsevier}
}

@book{Ga39,
  title={Orthogonal polynomials},
  author={Gabor Szeg{\"o}},
  volume={23},
  year={1939},
  publisher={American Mathematical Soc.}
}

@book{AbSt64,
  title={Handbook of mathematical functions},
  author={Abramowitz, Milton and Stegun, Irene A},
  year={1972},
  publisher={Dover}
}

@techreport{CaHuYoQu88,
  title={Spectral methods in fluid dynamics},
  author={Canuto, Claudio and Hussaini, M Yousuff and Quarteroni, Alfio and Zang, Thomas A},
  year={1988},
  institution={Springer}
}

@article{GhOs70,
  title={Quadrature formulae},
  author={Ghizzetti, Alessandro and Ossicini, Aldo},
  year={1970},
  publisher={Birkh{\"a}user}
337
}
338
@article{DoKa14,
339
340
  title={A robust and accurate outflow boundary condition for incompressible
        flow simulations on severely-truncated unbounded domains},
Yan Bao's avatar
Yan Bao committed
341
  author={S. Dong and G. E. Karniadakis and C. Chryssostomidis},
342
343
344
345
346
  journal={Journal of Computational Physics},
  volume={261},
  pages={95--136},
  year={2014}
}
347

348
349
350
351
352
353
354
355
356
357

@article{Dong15,
  title={A convective-like energy-stable open boundary condition for simulation of incompressible flows},
  author={S. Dong},
  journal={Journal of Computational Physics},
  volume={302},
  pages={300-328},
  year={2015}
}

358
359
360
361
362
363
364
365
366
@article{Ko07,
  title        = {Vectorized Matlab codes for linear two-dimensional elasticity},
  author       = {Koko, Jonas},
  journal      = {Scientific Programming},
  volume       = 15,
  number       = 3,
  pages        = {157--172},
  year         = 2007,
  publisher    = {IOS Press}
367
}
368
369
370
371
372
373
374
375
376
377
378
379
380

@Article{KaIsOr91,
  author = 	 "G. E. Karniadakis and M. Israeli and S. A. Orszag",
  title = 	 "High-order splitting methods for the incompressible
		  {Navier}--{Stokes} equations",
  journal =	 JCP,
  year =	 1991,
  volume =	 97,
  number =	 2,
  pages =	 "414--443"
}

@article{GuSh03,
381
382
383
384
385
386
387
  Author="J.L. Guermond and J. Shen", 
  title="Velocity-correction projection methods for incompressible flows", 
  journal="SIAM J. Numer.\ Anal.", 
  volume=41,
  pages = "112--134",
  year=2003
}
388
389

@article{XiShDoKa,
390
391
392
393
394
395
396
397
  author = {Xiu, D and Sherwin, SJ and Dong, S and Karniadakis, GE},
  doi = {10.1007/s10915-004-4647-1},
  journal = {J. Sci. Comp. },
  pages = {323--346},
  title = {Strong and auxiliary forms of the semi-Lagrangian method for incompressible flows},
  url = {http://dx.doi.org/10.1007/s10915-004-4647-1},
  volume = {25},
  year = {2005}
398
399
400
}

@inproceedings{Sh03,
401
402
403
404
405
406
  author = {Sherwin, S},
  pages = {43--52},
  publisher = {Elsevier Science},
  title = {A substepping Navier-Stokes splitting scheme for spectral/hp element discretisations},
  url = {http://www2.imperial.ac.uk/ssherw/spectralhp/papers/Conferences/pcfd_sherwin.pdf},
  year = {2003}
407
408
409
410
411
412
413
414
415
416
417
418
419
}

@Article{MaPaRo,
  author =       {Y. Maday and A. T. Patera and E.M. Ronquist},
  title =        {An operator-integration-factor splitting method for time-dependent problems: Application to incompressible fludi flow},
  journal =      {J. Sci. Comp.},
  year =         {1990},
  volume =       {4},
  pages =        {263-292},
}


@article{AiSh,
420
421
422
423
424
425
426
427
  author = {Ainsworth, M and Sherwin, S},
  doi = {10.1016/S0045-7825(98)00356-9},
  journal = {COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING},
  pages = {243--266},
  title = {Domain decomposition preconditioners for p and hp finite element approximation of Stokes equations},
  url = {http://dx.doi.org/10.1016/S0045-7825(98)00356-9},
  volume = {175},
  year = {1999}
428
429
430
}

@article{ShAi,
431
432
433
434
435
436
437
438
  author = {Sherwin, SJ and Ainsworth, M},
  doi = {10.1016/S0168-9274(99)00102-6},
  journal = {APPLIED NUMERICAL MATHEMATICS},
  pages = {357--363},
  title = {Unsteady Navier-Stokes solvers using hybrid spectral/hp element methods},
  url = {http://dx.doi.org/10.1016/S0168-9274(99)00102-6},
  volume = {33},
  year = {2000}
439
}
440
441
442
443
444
445
446
447
448
449
450
451
452
453

@article{GaRoPeSa15,
  title        = {Distortion and quality measures for validating and generating
                  high-order tetrahedral meshes},
  author       = {Gargallo-Peir{\'o}, Abel and Roca, Xevi and Peraire, Jaime and
                  Sarrate, Josep},
  journal      = {Engineering with Computers},
  volume       = 31,
  number       = 3,
  pages        = {423--437},
  year         = 2015,
  publisher    = {Springer London}
}

454
455
456
457
458
459
460
461
462
@Article{BaPlGrSh16,
  author =       {Bao, Y.  and Palacios, R. and Graham, M. and Sherwin, S.J. },
  title =        {Generalized “thick” strip modelling for vortex-induced vibration of long flexible cylinders},
  journal =      {J. Comp. Phys},
  year =         {2016},
  volume =       {321},
  pages =        {1079-1097},
}