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	<id>https://compass.scipedia.com/mw/index.php?action=history&amp;feed=atom&amp;title=Casals_2018d</id>
	<title>Casals 2018d - Revision history</title>
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	<updated>2026-06-03T21:14:38Z</updated>
	<subtitle>Revision history for this page on the wiki</subtitle>
	<generator>MediaWiki 1.31.0</generator>
	<entry>
		<id>https://compass.scipedia.com/mw/index.php?title=Casals_2018d&amp;diff=84&amp;oldid=prev</id>
		<title>Ovidi: Ovidi moved page Draft Casals 106883369 to Casals 2018d</title>
		<link rel="alternate" type="text/html" href="https://compass.scipedia.com/mw/index.php?title=Casals_2018d&amp;diff=84&amp;oldid=prev"/>
		<updated>2018-10-24T13:55:42Z</updated>

		<summary type="html">&lt;p&gt;Ovidi moved page &lt;a href=&quot;/s/Draft_Casals_106883369&quot; class=&quot;mw-redirect&quot; title=&quot;Draft Casals 106883369&quot;&gt;Draft Casals 106883369&lt;/a&gt; to &lt;a href=&quot;/s/Casals_2018d&quot; title=&quot;Casals 2018d&quot;&gt;Casals 2018d&lt;/a&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en-GB&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 13:55, 24 October 2018&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en-GB&quot;&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>Ovidi</name></author>
		
	</entry>
	<entry>
		<id>https://compass.scipedia.com/mw/index.php?title=Casals_2018d&amp;diff=82&amp;oldid=prev</id>
		<title>Ovidi: Ovidi moved page Draft Casals 106883369 to Casals 2018d</title>
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		<updated>2018-10-24T13:55:27Z</updated>

		<summary type="html">&lt;p&gt;Ovidi moved page &lt;a href=&quot;/s/Draft_Casals_106883369&quot; class=&quot;mw-redirect&quot; title=&quot;Draft Casals 106883369&quot;&gt;Draft Casals 106883369&lt;/a&gt; to &lt;a href=&quot;/s/Casals_2018d&quot; title=&quot;Casals 2018d&quot;&gt;Casals 2018d&lt;/a&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en-GB&quot;&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;1&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 13:55, 24 October 2018&lt;/td&gt;
				&lt;/tr&gt;&lt;tr&gt;&lt;td colspan=&quot;2&quot; class=&quot;diff-notice&quot; lang=&quot;en-GB&quot;&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>Ovidi</name></author>
		
	</entry>
	<entry>
		<id>https://compass.scipedia.com/mw/index.php?title=Casals_2018d&amp;diff=81&amp;oldid=prev</id>
		<title>Ovidi at 13:53, 24 October 2018</title>
		<link rel="alternate" type="text/html" href="https://compass.scipedia.com/mw/index.php?title=Casals_2018d&amp;diff=81&amp;oldid=prev"/>
		<updated>2018-10-24T13:53:35Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;tr class=&quot;diff-title&quot; lang=&quot;en-GB&quot;&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 13:53, 24 October 2018&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-l2227&quot; &gt;Line 2,227:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 2,227:&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: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Updating of the level set equation is done once the convergence of the Navier-Stokes equations is obtained. Therefore the complete iteration loop is as follows:&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Updating of the level set equation is done once the convergence of the Navier-Stokes equations is obtained. Therefore the complete iteration loop is as follows:&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: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; 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: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; 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: #222; 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;Step 1. Solve equations (54) in &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; [[Image:Draft_Casals_106883369-image81.png|18px]] &lt;/del&gt;.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; 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;Step 1. Solve equations (54) in &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;math&amp;gt;{\tilde{\Omega }}_{1}&amp;lt;/math&amp;gt;&lt;/ins&gt;.&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: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; 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: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; 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: #222; 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;Step 2. Solve equations (54) in &lt;del class=&quot;diffchange diffchange-inline&quot;&gt; [[Image:Draft_Casals_106883369-image82.png|24px]] &lt;/del&gt;.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; 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;Step 2. Solve equations (54) in &lt;ins class=&quot;diffchange diffchange-inline&quot;&gt;&amp;lt;math&amp;gt;{\tilde{\Omega }}_{2}&amp;lt;/math&amp;gt;&lt;/ins&gt;.&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: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; 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: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&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: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Step 3. Check convergence on pressure and velocity fields. If it is satisfied, go to Step 4, otherwise go to Step 1.&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;Step 3. Check convergence on pressure and velocity fields. If it is satisfied, go to Step 4, otherwise go to Step 1.&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;
&lt;/table&gt;</summary>
		<author><name>Ovidi</name></author>
		
	</entry>
	<entry>
		<id>https://compass.scipedia.com/mw/index.php?title=Casals_2018d&amp;diff=80&amp;oldid=prev</id>
		<title>Ovidi at 12:29, 24 October 2018</title>
		<link rel="alternate" type="text/html" href="https://compass.scipedia.com/mw/index.php?title=Casals_2018d&amp;diff=80&amp;oldid=prev"/>
		<updated>2018-10-24T12:29:59Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;a href=&quot;https://compass.scipedia.com/mw/index.php?title=Casals_2018d&amp;amp;diff=80&amp;amp;oldid=75&quot;&gt;Show changes&lt;/a&gt;</summary>
		<author><name>Ovidi</name></author>
		
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	<entry>
		<id>https://compass.scipedia.com/mw/index.php?title=Casals_2018d&amp;diff=75&amp;oldid=prev</id>
		<title>Ovidi at 10:02, 24 October 2018</title>
		<link rel="alternate" type="text/html" href="https://compass.scipedia.com/mw/index.php?title=Casals_2018d&amp;diff=75&amp;oldid=prev"/>
		<updated>2018-10-24T10:02:25Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
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		<id>https://compass.scipedia.com/mw/index.php?title=Casals_2018d&amp;diff=14&amp;oldid=prev</id>
		<title>Ovidi at 06:44, 3 October 2018</title>
		<link rel="alternate" type="text/html" href="https://compass.scipedia.com/mw/index.php?title=Casals_2018d&amp;diff=14&amp;oldid=prev"/>
		<updated>2018-10-03T06:44:22Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;a href=&quot;https://compass.scipedia.com/mw/index.php?title=Casals_2018d&amp;amp;diff=14&amp;amp;oldid=13&quot;&gt;Show changes&lt;/a&gt;</summary>
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		<id>https://compass.scipedia.com/mw/index.php?title=Casals_2018d&amp;diff=13&amp;oldid=prev</id>
		<title>Ovidi at 06:43, 3 October 2018</title>
		<link rel="alternate" type="text/html" href="https://compass.scipedia.com/mw/index.php?title=Casals_2018d&amp;diff=13&amp;oldid=prev"/>
		<updated>2018-10-03T06:43:01Z</updated>

		<summary type="html">&lt;p&gt;&lt;/p&gt;
&lt;table class=&quot;diff diff-contentalign-left&quot; data-mw=&quot;interface&quot;&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
				&lt;col class=&quot;diff-marker&quot; /&gt;
				&lt;col class=&quot;diff-content&quot; /&gt;
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				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;← Older revision&lt;/td&gt;
				&lt;td colspan=&quot;2&quot; style=&quot;background-color: #fff; color: #222; text-align: center;&quot;&gt;Revision as of 06:43, 3 October 2018&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-l89&quot; &gt;Line 89:&lt;/td&gt;
&lt;td colspan=&quot;2&quot; class=&quot;diff-lineno&quot;&gt;Line 89:&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: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;span id='_Toc438029886'&amp;gt;&amp;lt;/span&amp;gt;&amp;lt;span id='_Toc447186213'&amp;gt;&amp;lt;/span&amp;gt;&amp;lt;span id='_Toc447186405'&amp;gt;&amp;lt;/span&amp;gt;&amp;lt;span id='_Toc447187121'&amp;gt;&amp;lt;/span&amp;gt;&amp;lt;span id='_Toc519760587'&amp;gt;&amp;lt;/span&amp;gt;&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;&amp;lt;span id='_Toc438029886'&amp;gt;&amp;lt;/span&amp;gt;&amp;lt;span id='_Toc447186213'&amp;gt;&amp;lt;/span&amp;gt;&amp;lt;span id='_Toc447186405'&amp;gt;&amp;lt;/span&amp;gt;&amp;lt;span id='_Toc447187121'&amp;gt;&amp;lt;/span&amp;gt;&amp;lt;span id='_Toc519760587'&amp;gt;&amp;lt;/span&amp;gt;&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: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; 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: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; 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: #222; 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;===&lt;del class=&quot;diffchange diffchange-inline&quot;&gt;1&lt;/del&gt;.1 Governing equations===&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;+&lt;/td&gt;&lt;td style=&quot;color: #222; 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;2&lt;/ins&gt;.1 Governing equations===&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: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; 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: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&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: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The incompressible Navier-Stokes-Equations in a given three-dimensional domain &amp;amp;#x03a9; and time interval (0, t) can be written as:&lt;/div&gt;&lt;/td&gt;&lt;td class='diff-marker'&gt;&amp;#160;&lt;/td&gt;&lt;td style=&quot;background-color: #f8f9fa; color: #222; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;&quot;&gt;&lt;div&gt;The incompressible Navier-Stokes-Equations in a given three-dimensional domain &amp;amp;#x03a9; and time interval (0, t) can be written as:&lt;/div&gt;&lt;/td&gt;&lt;/tr&gt;

&lt;!-- diff cache key mw_cobrand_scipedia-compass_mw_:diff::1.12:old-12:rev-13 --&gt;
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		<author><name>Ovidi</name></author>
		
	</entry>
	<entry>
		<id>https://compass.scipedia.com/mw/index.php?title=Casals_2018d&amp;diff=12&amp;oldid=prev</id>
		<title>Ovidi: Created page with &quot;   600px Eq. 6Eq. 6Eq. 6Estabilized  &lt;span id='_Toc387135586'&gt;&lt;/span&gt;&lt;br/&gt;  ==1. Introduction 4==  ==2. Navier Stokes solver...&quot;</title>
		<link rel="alternate" type="text/html" href="https://compass.scipedia.com/mw/index.php?title=Casals_2018d&amp;diff=12&amp;oldid=prev"/>
		<updated>2018-10-02T16:24:53Z</updated>

		<summary type="html">&lt;p&gt;Created page with &amp;quot;   &lt;a href=&quot;/s/File:Draft_Casals_106883369-image1.png&quot; title=&quot;File:Draft Casals 106883369-image1.png&quot;&gt;center|600px&lt;/a&gt; Eq. 6Eq. 6Eq. 6Estabilized  &amp;lt;span id=&amp;#039;_Toc387135586&amp;#039;&amp;gt;&amp;lt;/span&amp;gt;&amp;lt;br/&amp;gt;  ==1. Introduction 4==  ==2. Navier Stokes solver...&amp;quot;&lt;/p&gt;
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		<author><name>Ovidi</name></author>
		
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