<div dir="ltr"><br clear="all"><div><div dir="ltr" class="m_-6458269630046613240gmail_signature" data-smartmail="gmail_signature"><div dir="ltr"><div><div dir="ltr"><div><div dir="ltr"><div><br></div></div></div></div></div></div></div></div><div class="gmail_quote"><br><br><div dir="ltr"><div><div style="overflow:auto"><div style="max-height:10000px"><div dir="ltr"><div><div style="overflow:auto"><div style="max-height:10000px"><div dir="ltr"><p style="text-align:center;clear:both"><a href="https://lh3.googleusercontent.com/-ZPFNPh16sR0/Wt39FrXUP-I/AAAAAAAAAaw/3wQunGe20lUopmV_ggfPaDwE9cVAgVzxgCLcBGAs/s1600/image001.jpg" style="margin-left:1em;margin-right:1em" target="_blank"><img src="https://lh3.googleusercontent.com/-ZPFNPh16sR0/Wt39FrXUP-I/AAAAAAAAAaw/3wQunGe20lUopmV_ggfPaDwE9cVAgVzxgCLcBGAs/s1600/image001.jpg" border="0"></a></p><br>
<p class="MsoNormal" style="text-align:center" align="center"><span style="font-family:"Verdana",sans-serif;color:black"><br></span></p><p class="MsoNormal" style="text-align:center" align="center"><span style="font-family:"Verdana",sans-serif;color:black">DATE:</span><span style="font-size:10.0pt;font-family:"Verdana",sans-serif;color:black"> </span><span style="font-size:13.5pt;font-family:"Verdana",sans-serif;color:black"> </span><b><span style="font-size:18.0pt;font-family:"Verdana",sans-serif">Friday, September 13, 2019</span></b></p><p class="MsoNormal" style="text-align:center" align="center"><span style="font-size:10.0pt;font-family:"Verdana",sans-serif;color:black"></span></p>
<p class="MsoNormal" style="text-align:center" align="center"><span style="font-family:"Verdana",sans-serif;color:black"><br></span></p><div dir="ltr"><p class="MsoNormal" style="text-align:center" align="center"><span style="font-size:10.0pt;font-family:"Verdana",sans-serif;color:black"></span></p>
<p class="MsoNormal" style="text-align:center" align="center"><span style="font-family:"Verdana",sans-serif;color:black"><br></span></p><p class="MsoNormal" style="text-align:center" align="center"><span style="font-family:"Verdana",sans-serif;color:black">TITLE:</span><span style="font-size:10.0pt;font-family:"Verdana",sans-serif;color:black"> <br></span></p><p class="MsoNormal" style="text-align:center" align="center"><span style="font-size:10.0pt;font-family:"Verdana",sans-serif;color:black"> <br></span></p><p class="MsoNormal" style="text-align:center" align="center"><font size="6"><span style="font-family:verdana,sans-serif"></span></font></p><p class="MsoNormal" style="text-align:center" align="center"><font size="6"><span style="font-family:verdana,sans-serif"><b><span style="background:white none repeat scroll 0% 0%"></span></b></span></font></p><div style="text-align:center"><span style="font-family:verdana,sans-serif"><font size="6"><b><span></span></b></font></span><span style="font-family:verdana,sans-serif"><font size="6"><b><span></span></b></font></span><span style="font-family:verdana,sans-serif"><font size="6"><b><span></span></b></font></span><span style="font-family:verdana,sans-serif"><font size="6"><b><span></span></b></font></span><span style="font-family:verdana,sans-serif"><font size="6"><b><span></span></b></font></span><span style="font-family:verdana,sans-serif"><font size="6"><b><span></span></b></font></span><span style="font-family:verdana,sans-serif"><font size="6"><b><span></span></b></font></span><span style="font-family:verdana,sans-serif"><font size="6"><b><span></span></b></font></span><span style="font-family:verdana,sans-serif"><font size="6"><b><span></span></b></font></span><span style="font-family:verdana,sans-serif"><font size="6"><b><span> </span></b></font></span><span style="font-family:verdana,sans-serif"><font size="6"><b><span><span class="m_-6458269630046613240m_-8914401319424926897JtukPc">Toward Making Deterministic Solution of the Boltzmann Equation Practical</span></span></b></font></span><span style="font-family:verdana,sans-serif"><font size="6"><b><span><span></span> </span></b></font><br></span><span style="font-family:verdana,sans-serif"><font size="6"><b><span style="font-size:11pt"></span></b> </font></span></div><p class="MsoNormal" style="text-align:center" align="center"><span style="font-family:"Verdana",sans-serif;color:black"></span></p>
<p class="MsoNormal" style="text-align:center" align="center"><span style="font-family:"Verdana",sans-serif;color:black"><br></span></p><p class="MsoNormal" style="text-align:center" align="center"><span style="font-family:"Verdana",sans-serif;color:black"><br></span></p><p class="MsoNormal" style="text-align:center" align="center"><span style="font-family:"Verdana",sans-serif;color:black">TIME:</span><span style="font-size:10.0pt;font-family:"Verdana",sans-serif;color:black"> </span><span style="font-size:13.5pt;font-family:"Verdana",sans-serif;color:black"> </span><b><span style="font-size:18.0pt;font-family:"Verdana",sans-serif">3:30-4:30PM<span style="color:black"></span></span></b></p>
<p class="MsoNormal" style="text-align:center" align="center"><span style="font-size:10.0pt;font-family:"Verdana",sans-serif;color:black"> </span></p>
<p class="MsoNormal" style="text-align:center" align="center"><span style="font-family:"Verdana",sans-serif;color:black"><br></span></p><p class="MsoNormal" style="text-align:center" align="center"><span style="font-family:"Verdana",sans-serif;color:black">LOCATION:</span><span style="font-size:10.0pt;font-family:"Verdana",sans-serif;color:black"> <b> </b></span><b><span style="font-size:18.0pt;font-family:"Verdana",sans-serif">GMCS 314<br></span></b></p>
<p class="MsoNormal" style="text-align:center" align="center"><span style="font-size:10.0pt;font-family:"Verdana",sans-serif;color:black"> </span></p>
<p class="MsoNormal" style="text-align:center" align="center"><span style="font-family:"Verdana",sans-serif;color:black"><br></span></p><p class="MsoNormal" style="text-align:center" align="center"><span style="font-family:"Verdana",sans-serif;color:black">SPEAKER/BIO:</span><span style="font-size:13.5pt;font-family:"Verdana",sans-serif;color:black"> </span><b><span style="font-size:18.0pt;font-family:"Verdana",sans-serif"><br></span></b></p><p class="MsoNormal" style="text-align:center" align="center"><br><b><span style="font-size:18.0pt;font-family:"Verdana",sans-serif"></span></b></p><p class="MsoNormal" style="text-align:center" align="center"><b><span style="font-size:18.0pt;font-family:"Verdana",sans-serif"></span></b><b><span style="font-size:18.0pt;font-family:"Verdana",sans-serif"></span></b><b><span style="font-size:18.0pt;font-family:"Verdana",sans-serif"></span></b><b><span style="font-size:18.0pt;font-family:"Verdana",sans-serif">Dr. Alexander Alekseenko, Associate Professor, <br></span></b></p><p class="MsoNormal" style="text-align:center" align="center"><b><span style="font-size:18.0pt;font-family:"Verdana",sans-serif">Department of Mathematics, CSU Northridge</span></b><b><span style="font-size:18.0pt;font-family:"Verdana",sans-serif"><br></span></b><font size="4"><span style="font-family:verdana,sans-serif"><b><span><b><span style="font-size:18.0pt;font-family:"Verdana",sans-serif"><span style="color:black"></span></span></b></span><span></span></b></span></font></p><p class="MsoNormal" style="text-align:center" align="center"><b><span style="font-size:18.0pt;font-family:"Verdana",sans-serif"></span></b></p>
<p class="MsoNormal" style="text-align:center" align="center"><span style="font-family:"Verdana",sans-serif;color:black"> </span></p>
<p class="MsoNormal"><font size="2"><span style="font-family:"Verdana",sans-serif;color:black"><br></span></font></p><p class="MsoNormal" style="text-align:left"><font size="2"><span style="font-family:"Verdana",sans-serif;color:black">ABSTRACT:</span></font></p><font size="4">
</font><p class="MsoNormal" style="text-align:justify"><span style="font-family:arial,sans-serif"><font size="4"><span class="m_-6458269630046613240m_-8914401319424926897JtukPc">Believed to be most
accurate description of gas at the microscopic scale, the kinetic
Boltzmann equation provides theoretical underpinning to models of gas at
the macroscopic scale. Many recent applications of aerospace and
miniature technologies introduce processes that span ranges of scales
from macroscopic to microscopic. For such applications, Boltzmann
equation provides a unified description. Development of methods for
solving the Boltzmann equation numerically for complex geometries and in
multiple dimensions can help us understand fundamental processes in
non-continuum gases, from flows in small channels to high speed high
altitude turbulence. At the same time, efficient high-fidelity solution
of the Boltzmann equation proved out to be difficult to achieve. The
difficulties are the high dimensionality of the equation, the
prohibitive costs to evaluate the collision operator describing
interaction of molecules, and considerable lack of efficient surrogate
models to provide accurate physical representation in regimes of strong
non-continuum. However, in recent years engineering and mathematical
communities made significant progress toward understanding this problem.
In this talk we will discuss several approaches to develop efficient
deterministic solution of the Boltzmann equation, including the Fourier
spectral methods and methods based on discontinuous Galerkin
discretizations. We will also try to touch on new ideas to derive low
order models for non-continuum gases that are data driven. Although the
subject is quite large and technical, all attempts will be made to limit
discussion to the main ideas and to keep the talk admissible to
graduate students. </span><br></font></span></p><p class="MsoNormal" style="text-align:justify"><span style="font-family:arial,sans-serif"><font size="4"><br></font></span></p><p class="MsoNormal" style="text-align:justify"><br><span style="font-family:arial,sans-serif"><font size="4"><span class="m_-6458269630046613240m_-8914401319424926897JtukPc">Short Bio: Dr.
Alekseenko's work is in the area of numerical solution of partial
differential and integral equations. He obtained his Ph.D. in Applied
Mathematics from Novosibirsk State University in 1999 in inverse
problems of magneto-electrodynamics under supervision of Dr. Kabanikhin.
His postdoctoral studies were at Penn State and Universityof Minnesota
in numerical general relativity under supervision of Dr. Arnold. In 2003
he joined the faculty at California State University Northridge where
he currently works on the development of fast scalable deterministic
solutions of the Boltzmann equation. He actively collaborates with AFRL
on solutions of rarefied gas dynamics. In 2011-13 he was an NRC Research
Associate at AFRL at Wright-Patterson AFB and he was AF Summer Fellow
at multiple occasions.</span></font></span></p><font size="4">
</font></div><div dir="ltr"><font size="4"><span style="font-family:verdana,sans-serif"><br></span></font></div><div dir="ltr"><font size="2"><span style="font-family:verdana,sans-serif"><span style="font-family:"Verdana",sans-serif;color:black"></span></span></font></div><br><div dir="ltr"><br><font size="4"><span style="font-family:verdana,sans-serif"></span><span style="font-family:verdana,sans-serif"></span></font></div><font size="4"><span style="font-family:verdana,sans-serif">Host: </span><span class="m_-6458269630046613240m_-8914401319424926897JtukPc">Gustaaf Jacobs, Aerospace Engineering</span></font></div></div></div></div> </div></div></div></div></div>
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