[Faculty] Fwd: [CSRC.COLLOQUIUM] "Toward Making Deterministic Solution of the Boltzmann Equation Practical"

[Jose Castillo]

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DATE:  *Friday, September 13, 2019*



TITLE:


*Toward Making Deterministic Solution of the Boltzmann Equation Practical*



TIME:  *3:30-4:30PM*




LOCATION:
*GMCS 314*




SPEAKER/BIO:



*Dr. Alexander Alekseenko, Associate Professor, *

*Department of Mathematics, CSU Northridge*




ABSTRACT:

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.



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.



Host: Gustaaf Jacobs, Aerospace Engineering

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