19215801
Vorlesung
SoSe 15: Numerical methods for convection-dominated and turbulent flow problems
Volker John
Zusätzl. Angaben / Voraussetzungen
Requirements::
Basic knowledge on numerical methods for partial differential equations, in particular finite element methods (Numerical Mathematics 3)
Basic knowledge on numerical methods for partial differential equations, in particular finite element methods (Numerical Mathematics 3)
Kommentar
Content:
This course considers numerical methods for partial differential equations from fluid dynamics which describe the transport of species. In applications, the convective transport (first order derivative) dominates the viscous transport (second order derivative). Standard discretizations prove to be instable in this situation and special methods are required. There are many ideas and proposals for such methods. Several types of equations will be considered, but the emphasis will be on the incompressible Navier-Stokes equations and turbulent flows. Schließen
This course considers numerical methods for partial differential equations from fluid dynamics which describe the transport of species. In applications, the convective transport (first order derivative) dominates the viscous transport (second order derivative). Standard discretizations prove to be instable in this situation and special methods are required. There are many ideas and proposals for such methods. Several types of equations will be considered, but the emphasis will be on the incompressible Navier-Stokes equations and turbulent flows. Schließen
Literaturhinweise
Literatur:
- Berselli, Iliescu, Layton. Mathematics of large eddy simulation of turbulent flows. Springer-Verlag, Berlin, 2006
- John. Large eddy simulation of turbulent incompressible flows. Springer-Verlag, Berlin, 2004.
- Layton, Rebholz. Approximate deconvolution models of turbulence. Springer 2012 Schließen
13 Termine
Regelmäßige Termine der Lehrveranstaltung
Mo, 27.04.2015 10:00 - 12:00
Mo, 04.05.2015 10:00 - 12:00
Mo, 11.05.2015 10:00 - 12:00
Mo, 18.05.2015 10:00 - 12:00
Mo, 01.06.2015 10:00 - 12:00
Mo, 08.06.2015 10:00 - 12:00
Mo, 15.06.2015 10:00 - 12:00
Mo, 22.06.2015 10:00 - 12:00
Mo, 29.06.2015 10:00 - 12:00
Mo, 06.07.2015 10:00 - 12:00
Mo, 13.07.2015 10:00 - 12:00