Kinetic and Hyperbolic Equations with Applications to Engineering Processes


Kinetic and Hyperbolic Equations with Applications to Engineering Processes
Supervisor
Axel-Stefan Häck - RTWH Aachen

Date and time
Thursday, December 21, 2017 at 2:30 PM

Contact person
Giacomo Albi

Publication date
December 13, 2017

Department
Computer Science  

Summary

Abstract: 
In this seminar we will give a brief introduction to the modeling hierarchy of particle based dynamics, kinetic equations, and hydrodynamic descriptions in the case of gas dynamics. This summary will aid as a guideline to a derivation of a analog modeling hierarchy in the following.
The first application will consider a steel rolling process. We will introduce a particle based dynamic describing the evolution of the (considered) properties of each workpiece in a steel mill. From this we will establish a kinetic equation to this process and finally take a fluid-like limit to gain a hydrodynamic equation of the steel rolling process. Such a fluid-like description might be used to plan and control a production supply chain.
For the second application we will turn back the gas dynamics. Here, we will consider (one-dimensional) isothermal Euler equations (those are 2x2-conservation laws) and couple such equations in a network. We will introduce a higher-order finite volume scheme that is capable of gathering the evolution of such conservation laws with implicitly coupled boundary conditions via a (possibly) non-linear coupling condition.

Speaker: Dr. Axel-Stefan Häck (RTWH Aachen).

Location: Ca' Vignal 2,
Room: Sala Verde, Piramide (moved from sala Riunioni, 2nd floor)
Time: 14:30-15:30

Short Bio:  Dr. A-S. Häck has recently obtained his Ph.D. under the supervision of Prof. Dr. M. Herty at the RWTH Aachen University, defending a thesis on numerical methods for kinetic and hydrodynamic equations and their applications to engineering problems. He is currently a post-doc research fellow at the Department of Mathematics, whitin the IGPM - Continuous Optimization group.

 
Title Format  (Language, Size, Publication date)
abstract  pdfpdf (it, 62 KB, 13/12/17)
slides_Häck  pdfpdf (it, 7022 KB, 21/12/17)

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