Servan Camas Garcia-Espinosa 2013a - Revision history

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Move page script moved page Draft García-Espinosa 946341310 to Servan Camas Garcia-Espinosa 2013a

Julio at 19:37, 11 May 2017

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Julio at 19:33, 11 May 2017

2017-05-11T19:33:55Z

Julio at 19:19, 11 May 2017

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Julio at 19:09, 11 May 2017

2017-05-11T19:09:47Z

Julio: Created page with " '''Accelerated 3D multi-body seakeeping simulations using unstructured finite elements''' Borja Serván-Camas¹* and Julio García-Espinosa^{1,2
2017-05-11T19:03:16Z
Created page with " <big>'''Accelerated 3D multi-body seakeeping simulations using unstructured finite elements'''</big> Borja Serván-Camas<sup>1</sup>* and Julio García-Espinosa<sup>1,2</su..."
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-<span style="text-align: center; font-size: 75%;">[[#cite-5|[5]] ] García, J., Valls A.,</span> <span style="text-align: center; font-size: 75%;">& Oñate, E., ODDLS: A new unstructured mesh finite element method for the analysis of free</span>
+[[#cite-5|[5]] ] García, J., Valls A. & Oñate, E., ODDLS: A new unstructured mesh finite element method for the analysis of free surface flow problems,'' Int. J. Numer.  Meth.  Fluids ''2008; 76 (9): 1297-1327.
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 surface flow problems,'' Int. J. Numer.  Meth.  Fluids ''2008; 76 (9): 1297-1327.
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-[[#cite-6|[6]]] Wu, G.X. & Eatock Taylor, R., Finite element analysis of two dimensional non-linear transient water
+[[#cite-6|[6]]] Wu, G.X. & Eatock Taylor, R., Finite element analysis of two dimensional non-linear transient water waves, ''Appl. Ocean Res''. 1994 ; 16: 363-372.
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 waves, ''Appl. Ocean Res''. 1994 ; 16: 363-372.
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-[[#cite-7|[7]]] Wu, G.X. & Eatock Taylor, R., Time stepping solution of the two dimensional non-linear wave
+[[#cite-7|[7]]] Wu, G.X. & Eatock Taylor, R., Time stepping solution of the two dimensional non-linear wave radiation problem, ''Ocean Eng.'' 1995; 22: 785-798.
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 radiation problem, ''Ocean Eng.'' 1995; 22: 785-798.
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-[[#cite-8|[8]]] Greaves, D.M., Borthwick, A.G.L., Wu, G.X. and Eatock Taylor, R., A moving boundary finite
+[[#cite-8|[8]]] Greaves, D.M., Borthwick, A.G.L., Wu, G.X. and Eatock Taylor, R., A moving boundary finite element method for fully nonlinear wave simulation, ''J. Ship Res''. 1997; 41: 181-194.
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 element method for fully nonlinear wave simulation, ''J. Ship Res''. 1997; 41: 181-194.
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-<span style="text-align: center; font-size: 75%;">[[#cite-9|[9]]] Robertson, I. & Sherwin, S., Free-surface flow simulation using hp/spectral elements, ''J. Comp. Phys. ''1999</span>; <span style="text-align: center; font-size: 75%;">155: 26-53.</span>
+[[#cite-9|[9]]] Robertson, I. & Sherwin, S., Free-surface flow simulation using hp/spectral elements, ''J. Comp. Phys. ''1999; 155: 26-53.</span>
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 <div id="_Ref329162537" class="center" style="width: auto; margin-left: auto; margin-right: auto;">
 <span style="text-align: center; font-size: 75%;">'''Figure 10: '''Multi-body simulation. (a), case 1 mesh; (v) case 2 mesh; (c) case 3 mesh.</span></div>
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 <span style="text-align: center; font-size: 75%;">'''Figure 11: '''Multi-body simulation: Free surface elevation at time=49.8 seconds.</span></div>
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 Although the previous algorithm provides good results, it can be improved by using it twice. Let’s say that in a first round, instead of using the prescribed level L, it is used the prescribed level 2L. A first decomposition is found with a lower number of sub-domains and twice the number of levels. Then, in a second round, the procedure is repeated using level L as the highest possible and starting with those nodes of level 2L to start building new sub-domains, without deleting the previous ones. <span id='cite-_Ref330458877'></span>[[#_Ref330458877|Figure 2]] shows the sub-domain decomposition obtained using the two rounds technique. The first one shows the decomposition at level 2L, and the second shows the decomposition at level L starting of the first decomposition at level 2L. Notice that the level at the sub-domains boundaries is lower or equal than the prescribed level L, and always minimum respect to any central node (node of level zero).
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 ==Abstract==
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-<big>'''Accelerated 3D multi-body seakeeping simulations using unstructured finite elements'''</big>
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-Borja Serván-Camas<sup>1</sup>* and Julio García-Espinosa<sup>1,2</sup>
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-<sup>1</sup> ''Centre Internacional de Mètodes Numèrics en Enginyeria (CIMNE)''
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-''[http: http:] // [http://www. www.] cimne. upc. edu/''
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-<sup>2</sup> ''Universitat Politècnica de Catalunya · BarcelonaTech (UPC)''
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-''Campus Nàutica, Edif. NT3, C. Escar 6-8, 08039 Barcelona, Spain''
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-*Corresponding Author
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-Phone: (0034)-93-405-4627
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-E-mail: [mailto:bservan@cimne.upc.edu bservan@cimne.upc.edu].
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-URL: [http://www.cimne.com www.cimne.com]
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-==<br/>Abstract==
 Being capable of predicting seakeeping capabilities in the time domain is of great interest for the marine and offshore industry. However, most computer programs used in the industry work in the frequency domain, with the subsequent limitation in the accuracy of their model predictions. The main objective of this work is the development of a time domain solver based on the finite element method capable of solving multi-body seakeeping problems on unstructured meshes. In order to achieve such an objective, several techniques are combined: the use of an efficient algorithm for the free surface boundary conditions, the use of deflated conjugate gradients, and the use of a graphic processing unit for speeding up the linear solver. The results obtained results by the developed model showed good agreement with analytical solutions, experimental data for an actual offshore structure model, as well as numerical solutions obtained by other numerical method. Also, a simulation with sixteen floating bodies was carried out in a affordable CPU time, showing the potential of this approach for multi-body simulation.
 ==1. Introduction==

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