19097
Lecture
SoSe 14: Numerical methods for incompressible flow problems I
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
11 Class schedule
Additional appointments
Mon, 2014-04-14 10:00 - 12:00Regular appointments
Mon, 2014-04-28 10:00 - 12:00
Mon, 2014-05-05 10:00 - 12:00
Mon, 2014-05-12 10:00 - 12:00
Mon, 2014-05-19 10:00 - 12:00
Mon, 2014-05-26 10:00 - 12:00
Mon, 2014-06-02 10:00 - 12:00
Mon, 2014-06-16 10:00 - 12:00
Mon, 2014-06-23 10:00 - 12:00
Mon, 2014-06-30 10:00 - 12:00
Mon, 2014-07-07 10:00 - 12:00
Mon, 2014-07-14 10:00 - 12:00