Onate et Garcia 2001 - Revision history

Cinmemj at 11:30, 29 April 2019

2019-04-29T11:30:58Z

Scipediacontent at 14:39, 4 March 2019

2019-03-04T14:39:38Z

Julio at 12:16, 27 September 2017

2017-09-27T12:16:59Z

Cinmemj at 14:29, 1 December 2016

2016-12-01T14:29:59Z

Cinmemj at 14:29, 1 December 2016

2016-12-01T14:29:08Z

Cinmemj at 11:44, 1 December 2016

2016-12-01T11:44:51Z

Cinmemj at 15:17, 30 November 2016

2016-11-30T15:17:56Z

Scipediacontent: /* 2 Stabilized finite element formulation for the fluid flow equations */

2016-10-11T13:34:30Z

‎2 Stabilized finite element formulation for the fluid flow equations

ScipediaContent: ScipediaContent moved page Onate et al 2001 to Onate et Garcia 2001

2016-07-14T14:22:32Z

ScipediaContent moved page Onate et al 2001 to Onate et Garcia 2001

Julio at 17:25, 2 July 2016

2016-07-02T17:25:18Z

← Older revision		Revision as of 11:30, 29 April 2019
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		+	Published in ''Trends in Computational Structural Mechanics'', W. A. Wall, K.-U. Bletzinger and K. Schweizerhof (Eds.), CIMNE, Barcelona, Spain, 2001
	== Summary ==		== Summary ==

@@ Line 36: / Line 36: @@
 {| style="text-align: left; margin:auto;"
 |-
-| style="text-align: center;" | <math>r_{m_i} - \underline{{1\over 2} h_{mj} {\partial r_{m_i}\over \partial x_ j}}{1\over 2} h_{mj} {\partial r_{m_i}\over \partial x_ j} =0 \qquad \hbox{on } \Omega \quad i,j=1,2,3 </math>
+| style="text-align: center;" | <math>r_{m_i} - \underline{{1\over 2} h_{mj} {\partial r_{m_i}\over \partial x_ j}} =0 \qquad \hbox{on } \Omega \quad i,j=1,2,3 </math>
 |}
 | style="width: 5px;text-align: right;" |  (1a)
@@ Line 48: / Line 48: @@
 {| style="text-align: left; margin:auto;"
 |-
-| style="text-align: center;" | <math>r_d - \underline{{1\over 2} h_{dj}{\partial r_d \over \partial x_j}}{1\over 2} h_{dj}{\partial r_d \over \partial x_j} =0 \qquad \hbox{on } \Omega \quad j=1,2,3</math>
+| style="text-align: center;" | <math>r_d - \underline{{1\over 2} h_{dj}{\partial r_d \over \partial x_j}} =0 \qquad \hbox{on } \Omega \quad j=1,2,3</math>
 |}
 | style="width: 5px;text-align: right;" |  (1b)
@@ Line 60: / Line 60: @@
 {| style="text-align: left; margin:auto;"
 |-
-| style="text-align: center;" | <math>r_\beta - \underline{{1\over 2} h_{\beta _j}{\partial r_\beta \over \partial x_j}}{1\over 2} h_{\beta _j}{\partial r_\beta \over \partial x_j} =0 \qquad \hbox{on } \Gamma _\beta \quad j=1,2</math>
+| style="text-align: center;" | <math>r_\beta - \underline{{1\over 2} h_{\beta _j}{\partial r_\beta \over \partial x_j}} =0 \qquad \hbox{on } \Gamma _\beta \quad j=1,2</math>
 |}
 | style="width: 5px;text-align: right;" |  (1c)
@@ Line 147: / Line 147: @@
 {| style="text-align: left; margin:auto;"
 |-
-| style="text-align: center;" | <math>n_j \tau _{ij} + t_i + \underline{{1\over 2} h_{mj} n_j r_{m_i}}{1\over 2} h_{mj} n_j r_{m_i} =0 \qquad \hbox{on }\Gamma _t </math>
+| style="text-align: center;" | <math>n_j \tau _{ij} + t_i + \underline{{1\over 2} h_{mj} n_j r_{m_i}} =0 \qquad \hbox{on }\Gamma _t </math>
 |}
 | style="width: 5px;text-align: right;" |  (6a)

← Older revision		Revision as of 12:16, 27 September 2017
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−	~~== A stabilized finite element method for analysis of fluid-structure interaction problems involving free surface waves ==~~
−
−	~~'''E. Oñate'''<sup>1,2</sup>, '''J. García-Espinosa'''<sup>1,2</sup>~~
−
−	~~<sup>1</sup> Centre Internacional de Metodes Numerics a l'Enginyeria - CIMNE, Barcelona, Spain<br/>~~
−	~~<sup>2</sup> Universitat Politècnica de Catalunya (UPC), Barcelona, Spain~~
−
−
	== Summary ==		== Summary ==

@@ Line 1: / Line 1: @@
-==A stabilized finite element method for analysis of fluid-structure interaction problems involving free surface waves==
+== A stabilized finite element method for analysis of fluid-structure interaction problems involving free surface waves ==
 '''E. Oñate'''<sup>1,2</sup>, '''J. García-Espinosa'''<sup>1,2</sup>
@@ Line 5: / Line 5: @@
 <sup>1</sup> Centre Internacional de Metodes Numerics a l'Enginyeria - CIMNE, Barcelona, Spain<br/>
 <sup>2</sup> Universitat Politècnica de Catalunya (UPC), Barcelona, Spain
 == Summary ==

@@ Line 1: / Line 1: @@
-== '''A stabilized finite element method for analysis of fluid-structure interaction problems involving free surface waves''' ==
+==A stabilized finite element method for analysis of fluid-structure interaction problems involving free surface waves==
-==== '''E. Oñate<sup>1,2</sup>, J. García-Espinosa<sup>1,2</sup>''' ====
+'''E. Oñate'''<sup>1,2</sup>, '''J. García-Espinosa'''<sup>1,2</sup>
-−
-<sup>1</sup> Centre Internacional de Metodes Numerics a l'Enginyeria - CIMNE, Barcelona, Spain
 <sup>2</sup> Universitat Politècnica de Catalunya (UPC), Barcelona, Spain

← Older revision		Revision as of 15:17, 30 November 2016
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		+	== '''A stabilized finite element method for analysis of fluid-structure interaction problems involving free surface waves''' ==
		+
		+	==== '''E. Oñate<sup>1,2</sup>, J. García-Espinosa<sup>2</sup>''' ====
		+
		+	<sup>1</sup> Centre Internacional de Metodes Numerics a l'Enginyeria - CIMNE, Barcelona, Spain
		+
		+	<sup>2</sup> Universitat Politècnica de Catalunya (UPC), Barcelona, Spain
		+
		+	== Summary ==
		+
		+	A stabilized semi-implicit fractional step finite element method for analysis of coupled fluid interaction problems involving free surface waves has been presented. A procedure for automatic movement of mesh nodes during the coupled solution process has been developed. The method is adequate for solving large scale fluid-structure interaction situations in naval architecture and offshare engineering problems.
		+
	==1 Introduction==		==1 Introduction==

← Older revision	Revision as of 14:22, 14 July 2016
(No difference)

@@ Line 437: / Line 437: @@
 <div id='figure_1'></div>
-[[Image:figure1.jpg|center|450x450px|'''Figure 1:''' Changes in the fluid interface in a floating body.|thumb]]
+[[Image:figure1.jpg|center|450px|'''Figure 1:''' Changes in the fluid interface in a floating body.|thumb]]
 ==4 Example. Movement of a submerged sphere in an open channel==
@@ Line 444: / Line 444: @@
 <div id='figure_2'></div>
-[[Image:Geometry of the chanel with submerged sphere.jpg|thumb|center|450x450px| '''Figure 2:''' Geometry of the chanel with submerged sphere.]]
+[[Image:Geometry of the chanel with submerged sphere.jpg|thumb|center|450px| '''Figure 2:''' Geometry of the chanel with submerged sphere.]]
@@ Line 452: / Line 452: @@
 <div id='figure_3'></div>
-[[Image:figure3.jpg|thumb|center|600px| '''Figure 3:''' Time evolution of vertical displacement of sphere.]]
+[[Image:figure3.jpg|thumb|center|500px| '''Figure 3:''' Time evolution of vertical displacement of sphere.]]
 Figure 3 shows a plot of the time evolution of the vertical displacement of the sphere. The position of the sphere at different time intervals is shown in Figure&nbsp;4. A plot of velocity vectors in the fluid displayed on Figure&nbsp;5. Pressure contours in the fluid domain are shown in Figure&nbsp;6.
 <div id='figure_4'></div>
-[[Image:figure4.jpg|thumb|center|400x400px|'''Figure 4'''. Position of sphere and mesh at different times. a) t=0.47s, b) t=0.94s, c) t=1.22s, d) t=1.83s, e) t=2.57s, f) t=3.16s.]]
+[[Image:figure4.jpg|thumb|center|400px|'''Figure 4'''. Position of sphere and mesh at different times. a) t=0.47s, b) t=0.94s, c) t=1.22s, d) t=1.83s, e) t=2.57s, f) t=3.16s.]]
 <div id='figure_5'></div>
-[[Image:figure5.jpg|thumb|center|600px|'''Figure 5:''' Velocity vectors at different times. a) t=0.47s, b) t=0.94s, c) t=1.22s, d) t=1.83s, e) t=2.57s, f) t=3.16s.]]
+[[Image:figure5.jpg|thumb|center|500px|'''Figure 5:''' Velocity contours at different times. a) t=0.47s, b) t=0.94s, c) t=1.22s, d) t=1.83s, e) t=2.57s, f) t=3.16s.]]
 <div id='figure_6'></div>
@@ Line 468: / Line 468: @@
 <div id='figure_7'></div>
-[[Image:figure7.jpg|thumb|center|400x400px| '''Figure 7:'''  Streamline tracks at t=1.83s.]]
+[[Image:figure7.jpg|thumb|center|400px| '''Figure 7:'''  Streamline tracks at t=1.83s.]]
 <div id='figure_8'></div>
-[[Image:figure8.jpg|thumb|center|600px| '''Figure 8:'''  Free surface elevation at different times: a) t=0.47s, b) t=3.16s.]]
+[[Image:figure8.jpg|thumb|center|500px| '''Figure 8:'''  Free surface elevation at different times: a) t=0.47s, b) t=3.16s.]]
 ==5 Conclusions==