Onate et al 2012b - Revision history

Cinmemj at 09:41, 14 June 2019

2019-06-14T09:41:31Z

Cinmemj at 09:44, 23 May 2019

2019-05-23T09:44:57Z

Cinmemj: Cinmemj moved page Draft Samper 534298620 to Onate et al 2012b

2019-05-06T12:14:09Z

Cinmemj moved page Draft Samper 534298620 to Onate et al 2012b

Cinmemj at 12:12, 6 May 2019

2019-05-06T12:12:55Z

Cinmemj at 12:12, 6 May 2019

2019-05-06T12:12:06Z

Cinmemj at 12:11, 6 May 2019

2019-05-06T12:11:06Z

Cinmemj at 12:03, 6 May 2019

2019-05-06T12:03:17Z

Cinmemj at 12:01, 6 May 2019

2019-05-06T12:01:20Z

Cinmemj at 11:29, 6 May 2019

2019-05-06T11:29:47Z

Cinmemj at 11:26, 6 May 2019

2019-05-06T11:26:46Z

← Older revision		Revision as of 09:41, 14 June 2019
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−	Pulished in ''Bytes and Science'' G. Zavarise and D. Boso (Eds.), pp. 119 - 130, CIMNE, Barcelona Spain, 2012	+	Pulished in ''Bytes and Science'', G. Zavarise and D. Boso (Eds.), pp. 119 - 130, CIMNE, Barcelona Spain, 2012
	==Abstract==		==Abstract==

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 . LOOP OVER NUMBER OF ITERATIONS, <math display="inline">i=1</math>, NITER
-<math display="inline">\bullet </math>  Compute  nodal velocities by solving Eq.(8)
+<math display="inline">\bullet </math>  Compute  nodal velocities by solving Eq.([[#eq-8|8]])
 <math display="inline">\displaystyle \left[\frac{1}{\Delta t} \mathbf{M}+\mathbf{K}\right]{}^{t+1} \bar{\boldsymbol v}^{i+1} ={}^{t+1} \mathbf{f} - {\boldsymbol G}^{t+1} {\boldsymbol p}^{i} +\frac{1}{\Delta t} \mathbf{M} {}^{t} \bar{\boldsymbol v}</math>
-<math display="inline">\bullet </math>   Compute nodal pressures from Eq.(9)
+<math display="inline">\bullet </math>   Compute nodal pressures from Eq.([[#eq-9|9]])
 <math display="inline">\displaystyle \left[\frac{1}{\Delta t}\bar {\boldsymbol M}-{\boldsymbol L}\right]{}^{t+1} \bar{\boldsymbol p}^{i+1} =\mathbf{G}{}^{T} {}^{t+1} \bar{\boldsymbol v}^{i+1} + \mathbf{Q}{}^{t+1} \bar{\boldsymbol \pi }^{i} +\frac{1}{\Delta t}\bar {\boldsymbol M} {}^t\bar{\boldsymbol p} </math>
-<math display="inline">\bullet </math> Compute nodal pressure gradient projections from Eq.(10)
+<math display="inline">\bullet </math> Compute nodal pressure gradient projections from Eq.([[#eq-10|10]])
 <math display="inline">{}^{n+1} \bar{\boldsymbol \pi }^{i+1} =-\hat{\boldsymbol M}^{-1}_{D} \left[\mathbf{Q}^{T} \right]{}^{t+1} \bar{\boldsymbol p}^{i+1} \begin{array}{ccc} {} & {,} & {\hat{\boldsymbol M}_{D} =diag\left[\hat{\boldsymbol M}_{D} \right]} \end{array}</math>

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 |-
 | (a)
 |[[Image:Draft_Samper_534298620-fig_9_01.png|400px|]]
 |-
 | (b)
 |[[Image:Draft_Samper_534298620-fig_10_02.png|400px|]]
 |- style="text-align: center; font-size: 75%;"

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 {| class="floating_imageSCP" style="text-align: center; border: 1px solid #BBB; margin: 1em auto; width: 100%;max-width: 100%;"
 |-
 |[[Image:Draft_Samper_534298620-fig_9_01.png|400px|]]
 |-
 |[[Image:Draft_Samper_534298620-fig_10_02.png|400px|]]
 |- style="text-align: center; font-size: 75%;"

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 {| class="floating_imageSCP" style="text-align: center; border: 1px solid #BBB; margin: 1em auto; width: 100%;max-width: 100%;"
 |-
-|[[Image:Draft_Samper_534298620-fig_9_01.png|500px|]]
+|[[Image:Draft_Samper_534298620-fig_9_01.png|400px|]]
 |-
-|[[Image:Draft_Samper_534298620-fig_10_02.png|500px|]]
+|[[Image:Draft_Samper_534298620-fig_10_02.png|400px|]]
 |- style="text-align: center; font-size: 75%;"
 | colspan="2" | '''Figure 7:''' Lituya Bay landslide. (a) Left: Geometry. Right: Landslide direction and maximum wave level <span id='citeF-3'></span>[[#cite-3|[3]]]. (b) Landslide motion into  reservoir obtained with  PFEM. Maximum level of  generated wave (551 mts) in  north slope

← Older revision	Revision as of 12:14, 6 May 2019
(No difference)

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 For large 3D problems solved in a single processor Pentium IV PC, meshing consumes around 15% of the total CPU time for  time step, while the solution of the equations (with typically 3 iterations to reach convergence per time step) and the assembly of the system consume approximately 70% and 15% of the  CPU time per time step, respectively. Considerable speed can be gained using parallel computing techniques.
-Boundary nodes are recognized at mesh generation level <span id='citeF-5'></span><span id='citeF-10'></span>[[#cite-5|[5]],[[#cite-10|10]]]]. Considering that the nodes follow a variable <math display="inline">h(x)</math> distribution, where <math display="inline">h(x)</math> is typically the minimum distance between two nodes. ''All nodes on an empty sphere with a radius greater than <math>\alpha h</math>, are considered as boundary nodes''. Values of <math display="inline">\alpha </math> ranging of 1.4 have been found to be optimal. This criterion is coincident with the Alpha Shape  <span id='citeF-2'></span>[[#cite-2|[2]]].
+Boundary nodes are recognized at mesh generation level <span id='citeF-5'></span><span id='citeF-10'></span>[[#cite-5|[5]],[[#cite-10|10]]]. Considering that the nodes follow a variable <math display="inline">h(x)</math> distribution, where <math display="inline">h(x)</math> is typically the minimum distance between two nodes. ''All nodes on an empty sphere with a radius greater than <math>\alpha h</math>, are considered as boundary nodes''. Values of <math display="inline">\alpha </math> ranging of 1.4 have been found to be optimal. This criterion is coincident with the Alpha Shape  <span id='citeF-2'></span>[[#cite-2|[2]]].
 The boundary recognition method  is useful for detecting contact conditions between any fluid/solid or solid/solid interface.

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-<!-- metadata commented in wiki content
+Pulished in ''Bytes and Science'' G. Zavarise and D. Boso (Eds.), pp. 119 - 130, CIMNE, Barcelona Spain, 2012
-==FLUID-SOIL-STRUCTURE INTERACTION ANALYSIS WITH THE PARTICLE FINITE ELEMENT METHOD==
-−
-'''Eugenio Oñate, Miguel A. Celigueta, Sergio R. Idelsohn<math>^*</math>,
-−
-Fernando Salazar, Benjamín Suárez'''
-−
-{|
-|-
-|International Center for Numerical Methods in Engineering (CIMNE)
-|-
-| Technical University of Catalonia, Campus Norte, 08034 Barcelona, Spain
-|-
-| <math>^*</math> ICREA Professor at CIMNE
-|}
--->
-−
 ==Abstract==

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 |[[Image:Draft_Samper_534298620-Arrastre-casas3.png|300px|]]
 |- style="text-align: center; font-size: 75%;"
-| colspan="1" | '''Figure 6:''' Simulation of landslide falling on constructions using PFEM
+| colspan="2" | '''Figure 6:''' Simulation of landslide falling on constructions using PFEM
 |}