19215801
Lecture
SoSe 15: Numerical methods for convection-dominated and turbulent flow problems
Volker John
Additional information / Pre-requisites
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)
Comments
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. close
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. close
Suggested reading
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 close
13 Class schedule
Regular appointments
Mon, 2015-04-27 10:00 - 12:00
Mon, 2015-05-04 10:00 - 12:00
Mon, 2015-05-11 10:00 - 12:00
Mon, 2015-05-18 10:00 - 12:00
Mon, 2015-06-01 10:00 - 12:00
Mon, 2015-06-08 10:00 - 12:00
Mon, 2015-06-15 10:00 - 12:00
Mon, 2015-06-22 10:00 - 12:00
Mon, 2015-06-29 10:00 - 12:00
Mon, 2015-07-06 10:00 - 12:00
Mon, 2015-07-13 10:00 - 12:00