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		<id>https://www.scipedia.com/wd/index.php?action=history&amp;feed=atom&amp;title=Zhang_et_al_2012a</id>
		<title>Zhang et al 2012a - Revision history</title>
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		<updated>2026-05-06T03:45:43Z</updated>
		<subtitle>Revision history for this page on the wiki</subtitle>
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	<entry>
		<id>https://www.scipedia.com/wd/index.php?title=Zhang_et_al_2012a&amp;diff=183327&amp;oldid=prev</id>
		<title>Scipediacontent at 10:09, 22 January 2021</title>
		<link rel="alternate" type="text/html" href="https://www.scipedia.com/wd/index.php?title=Zhang_et_al_2012a&amp;diff=183327&amp;oldid=prev"/>
				<updated>2021-01-22T10:09:52Z</updated>
		
		<summary type="html">&lt;p&gt;&lt;/p&gt;
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				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='2' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 10:09, 22 January 2021&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot; id=&quot;mw-diff-left-l17&quot; &gt;Line 17:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 17:&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [https://research.tue.nl/nl/publications/rapid-filling-of-pipelines-with-the-sph-particle-method(def071c8-fbdc-46dc-ae5f-3ea276450453).html https://research.tue.nl/nl/publications/rapid-filling-of-pipelines-with-the-sph-particle-method(def071c8-fbdc-46dc-ae5f-3ea276450453).html]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [https://research.tue.nl/nl/publications/rapid-filling-of-pipelines-with-the-sph-particle-method(def071c8-fbdc-46dc-ae5f-3ea276450453).html https://research.tue.nl/nl/publications/rapid-filling-of-pipelines-with-the-sph-particle-method(def071c8-fbdc-46dc-ae5f-3ea276450453).html]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [https://api.elsevier.com/content/article/PII:S1877705812010119?httpAccept=text/xml https://api.elsevier.com/content/article/PII:S1877705812010119?httpAccept=text/xml],[https://api.elsevier.com/content/article/PII:S1877705812010119?httpAccept=text/plain https://api.elsevier.com/content/article/PII:S1877705812010119?httpAccept=text/plain],[http://dx.doi.org/10.1016/j.proeng.2012.01.987 http://dx.doi.org/10.1016/j.proeng.2012.01.987] under the license https://www.elsevier.com/tdm/userlicense/1.0/&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [https://api.elsevier.com/content/article/PII:S1877705812010119?httpAccept=text/xml https://api.elsevier.com/content/article/PII:S1877705812010119?httpAccept=text/xml],&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;: &lt;/ins&gt;[https://api.elsevier.com/content/article/PII:S1877705812010119?httpAccept=text/plain https://api.elsevier.com/content/article/PII:S1877705812010119?httpAccept=text/plain],&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;: &lt;/ins&gt;[http://dx.doi.org/10.1016/j.proeng.2012.01.987 http://dx.doi.org/10.1016/j.proeng.2012.01.987] under the license https://www.elsevier.com/tdm/userlicense/1.0/&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f9f9f9; color: #333333; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #e6e6e6; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td class='diff-marker'&gt;−&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [https://www.sciencedirect.com/science/article/pii/S1877705812010119 https://www.sciencedirect.com/science/article/pii/S1877705812010119],[https://pure.tue.nl/ws/files/3598598/721563.pdf https://pure.tue.nl/ws/files/3598598/721563.pdf],[https://research.tue.nl/en/publications/rapid-filling-of-pipelines-with-the-sph-particle-method-2 https://research.tue.nl/en/publications/rapid-filling-of-pipelines-with-the-sph-particle-method-2],[https://www.narcis.nl/publication/RecordID/oai%3Apure.tue.nl%3Apublications%2F669ff25b-be98-423f-a9da-28f0340702cb https://www.narcis.nl/publication/RecordID/oai%3Apure.tue.nl%3Apublications%2F669ff25b-be98-423f-a9da-28f0340702cb],[https://academic.microsoft.com/#/detail/2044297304 https://academic.microsoft.com/#/detail/2044297304]&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;* [https://www.sciencedirect.com/science/article/pii/S1877705812010119 https://www.sciencedirect.com/science/article/pii/S1877705812010119],&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;: &lt;/ins&gt;[https://pure.tue.nl/ws/files/3598598/721563.pdf https://pure.tue.nl/ws/files/3598598/721563.pdf],&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;: &lt;/ins&gt;[https://research.tue.nl/en/publications/rapid-filling-of-pipelines-with-the-sph-particle-method-2 https://research.tue.nl/en/publications/rapid-filling-of-pipelines-with-the-sph-particle-method-2],&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;: &lt;/ins&gt;[https://www.narcis.nl/publication/RecordID/oai%3Apure.tue.nl%3Apublications%2F669ff25b-be98-423f-a9da-28f0340702cb https://www.narcis.nl/publication/RecordID/oai%3Apure.tue.nl%3Apublications%2F669ff25b-be98-423f-a9da-28f0340702cb],&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;tr&gt;&lt;td colspan=&quot;2&quot;&gt;&amp;#160;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color:black; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;: &lt;/ins&gt;[https://academic.microsoft.com/#/detail/2044297304 https://academic.microsoft.com/#/detail/2044297304]&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;

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		<author><name>Scipediacontent</name></author>	</entry>

	<entry>
		<id>https://www.scipedia.com/wd/index.php?title=Zhang_et_al_2012a&amp;diff=181425&amp;oldid=prev</id>
		<title>Scipediacontent: Scipediacontent moved page Draft Content 521876634 to Zhang et al 2012a</title>
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				<updated>2021-01-19T15:33:48Z</updated>
		
		<summary type="html">&lt;p&gt;Scipediacontent moved page &lt;a href=&quot;/public/Draft_Content_521876634&quot; class=&quot;mw-redirect&quot; title=&quot;Draft Content 521876634&quot;&gt;Draft Content 521876634&lt;/a&gt; to &lt;a href=&quot;/public/Zhang_et_al_2012a&quot; title=&quot;Zhang et al 2012a&quot;&gt;Zhang et al 2012a&lt;/a&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr style='vertical-align: top;' lang='en'&gt;
				&lt;td colspan='1' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan='1' style=&quot;background-color: white; color:black; text-align: center;&quot;&gt;Revision as of 15:33, 19 January 2021&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan='2' style='text-align: center;' lang='en'&gt;&lt;div class=&quot;mw-diff-empty&quot;&gt;(No difference)&lt;/div&gt;
&lt;/td&gt;&lt;/tr&gt;&lt;/table&gt;</summary>
		<author><name>Scipediacontent</name></author>	</entry>

	<entry>
		<id>https://www.scipedia.com/wd/index.php?title=Zhang_et_al_2012a&amp;diff=181424&amp;oldid=prev</id>
		<title>Scipediacontent: Created page with &quot; == Abstract ==  The paper reports the development and application of a SPH (smoothed particle hydrodynamics) based simulation of rapid filling of pipelines, for which the rig...&quot;</title>
		<link rel="alternate" type="text/html" href="https://www.scipedia.com/wd/index.php?title=Zhang_et_al_2012a&amp;diff=181424&amp;oldid=prev"/>
				<updated>2021-01-19T15:33:36Z</updated>
		
		<summary type="html">&lt;p&gt;Created page with &amp;quot; == Abstract ==  The paper reports the development and application of a SPH (smoothed particle hydrodynamics) based simulation of rapid filling of pipelines, for which the rig...&amp;quot;&lt;/p&gt;
&lt;p&gt;&lt;b&gt;New page&lt;/b&gt;&lt;/p&gt;&lt;div&gt;&lt;br /&gt;
== Abstract ==&lt;br /&gt;
&lt;br /&gt;
The paper reports the development and application of a SPH (smoothed particle hydrodynamics) based simulation of rapid filling of pipelines, for which the rigid-column model is commonly used. In this paper the water-hammer equations with a moving boundary are used to model the pipe filling process, and a mesh-less Lagrangian particle approach is employed to solve the governing equations. To assign boundary conditions with time-dependent (upstream) and constant (downstream) pressure, the SPH pressure boundary concept proposed recently in literature is used and extended. Except for imposing boundary conditions, this concept also ensures completeness of the kernels associated with particles close to the boundaries. As a consequence, the boundary deficiency problem encountered in conventional SPH is remedied. The employed particle method with the SPH pressure boundary concept aims to predict the transients occurring during rapid pipe filling. It is validated against laboratory tests, rigid-column solutions and numerical results from literature. Results obtained with the present approach show better agreement with the test data than those from rigid-column theory and the elastic model solved by the box scheme. It is concluded that SPH is a promising tool for the simulation of rapid filling of pipelines with undulating elevation profiles. Keywords: Rapid filling of pipelines; Undulating elevation profile; SPH&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
== Original document ==&lt;br /&gt;
&lt;br /&gt;
The different versions of the original document can be found in:&lt;br /&gt;
&lt;br /&gt;
* [http://dx.doi.org/10.1016/j.proeng.2012.01.987 http://dx.doi.org/10.1016/j.proeng.2012.01.987] under the license http://creativecommons.org/licenses/by-nc-nd/3.0/&lt;br /&gt;
&lt;br /&gt;
* [https://doi.org/10.1016/j.proeng.2012.01.987 https://doi.org/10.1016/j.proeng.2012.01.987] under the license cc-by-nc-nd&lt;br /&gt;
&lt;br /&gt;
* [https://research.tue.nl/nl/publications/rapid-filling-of-pipelines-with-the-sph-particle-method(669ff25b-be98-423f-a9da-28f0340702cb).html https://research.tue.nl/nl/publications/rapid-filling-of-pipelines-with-the-sph-particle-method(669ff25b-be98-423f-a9da-28f0340702cb).html]&lt;br /&gt;
&lt;br /&gt;
* [https://research.tue.nl/nl/publications/rapid-filling-of-pipelines-with-the-sph-particle-method(def071c8-fbdc-46dc-ae5f-3ea276450453).html https://research.tue.nl/nl/publications/rapid-filling-of-pipelines-with-the-sph-particle-method(def071c8-fbdc-46dc-ae5f-3ea276450453).html]&lt;br /&gt;
&lt;br /&gt;
* [https://api.elsevier.com/content/article/PII:S1877705812010119?httpAccept=text/xml https://api.elsevier.com/content/article/PII:S1877705812010119?httpAccept=text/xml],[https://api.elsevier.com/content/article/PII:S1877705812010119?httpAccept=text/plain https://api.elsevier.com/content/article/PII:S1877705812010119?httpAccept=text/plain],[http://dx.doi.org/10.1016/j.proeng.2012.01.987 http://dx.doi.org/10.1016/j.proeng.2012.01.987] under the license https://www.elsevier.com/tdm/userlicense/1.0/&lt;br /&gt;
&lt;br /&gt;
* [https://www.sciencedirect.com/science/article/pii/S1877705812010119 https://www.sciencedirect.com/science/article/pii/S1877705812010119],[https://pure.tue.nl/ws/files/3598598/721563.pdf https://pure.tue.nl/ws/files/3598598/721563.pdf],[https://research.tue.nl/en/publications/rapid-filling-of-pipelines-with-the-sph-particle-method-2 https://research.tue.nl/en/publications/rapid-filling-of-pipelines-with-the-sph-particle-method-2],[https://www.narcis.nl/publication/RecordID/oai%3Apure.tue.nl%3Apublications%2F669ff25b-be98-423f-a9da-28f0340702cb https://www.narcis.nl/publication/RecordID/oai%3Apure.tue.nl%3Apublications%2F669ff25b-be98-423f-a9da-28f0340702cb],[https://academic.microsoft.com/#/detail/2044297304 https://academic.microsoft.com/#/detail/2044297304]&lt;/div&gt;</summary>
		<author><name>Scipediacontent</name></author>	</entry>

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