19207101
Lecture
WiSe 14/15: Numerical methods for incompressible flow problems II
Volker John
Comments
Content:
This course considers the fundamental equation of fluid dynamics - the incompressible Navier-Stokes equations. These partial differential equations are nonlinear, not symmetric, and they are a coupled systems of two equations. The dominating term is generally the convective term. All these features lead to difficulties in the numerical simulation of the Navier-Stokes equations. The course will start with a derivation of these equations and an overview about results from the analysis will be given. The difficulties in the numerical simulation of the Navier-Stokes equations can be studied separately at simpler equations. This course will consider only stationary equations. The time-dependent equations, in particular turbulent flows, will be the topic of the next semester.
Requirements:
Basic knowledge on numerical methods for partial differential equations, in particular finite element methods (Numerical Mathematics 3) close
This course considers the fundamental equation of fluid dynamics - the incompressible Navier-Stokes equations. These partial differential equations are nonlinear, not symmetric, and they are a coupled systems of two equations. The dominating term is generally the convective term. All these features lead to difficulties in the numerical simulation of the Navier-Stokes equations. The course will start with a derivation of these equations and an overview about results from the analysis will be given. The difficulties in the numerical simulation of the Navier-Stokes equations can be studied separately at simpler equations. This course will consider only stationary equations. The time-dependent equations, in particular turbulent flows, will be the topic of the next semester.
Requirements:
Basic knowledge on numerical methods for partial differential equations, in particular finite element methods (Numerical Mathematics 3) close
Suggested reading
Literature:
- Girault, Vivette; Raviart, Pierre-Arnaud Finite element methods for Navier-Stokes equations. Theory and algorithms. Springer Series in Computational Mathematics, 5. Springer-Verlag, Berlin, 1986.
- Layton, William Introduction to the numerical analysis of incompressible viscous flows. With a foreword by Max Gunzburger. Computational Science & Engineering, 6. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 2008
16 Class schedule
Regular appointments
Mon, 2014-10-13 10:00 - 12:00
Mon, 2014-10-20 10:00 - 12:00
Mon, 2014-10-27 10:00 - 12:00
Mon, 2014-11-03 10:00 - 12:00
Mon, 2014-11-10 10:00 - 12:00
Mon, 2014-11-17 10:00 - 12:00
Mon, 2014-11-24 10:00 - 12:00
Mon, 2014-12-01 10:00 - 12:00
Mon, 2014-12-08 10:00 - 12:00
Mon, 2014-12-15 10:00 - 12:00
Mon, 2015-01-05 10:00 - 12:00
Mon, 2015-01-12 10:00 - 12:00
Mon, 2015-01-19 10:00 - 12:00
Mon, 2015-01-26 10:00 - 12:00
Mon, 2015-02-02 10:00 - 12:00
Mon, 2015-02-09 10:00 - 12:00