Technische Universität Berlin Institut für Mathematik PDE-constrained control using Comsol Multiphysics – Control of the Navier-Stokes equations

Technische Universität Berlin Institut für Mathematik Fundamental Diagrams and Multiple Pedestrian Streams

Technische Universität Berlin Institut für Mathematik Some Fundamental Considerations for the Application of Macroscopic Models in the Field of Pedestrian Crowd Simulation

Optimization with the time-dependent Navier-Stokes equations as constraints

In this paper, optimal distributed control of the time-dependent Navier-Stokes equations is considered. The control problem involves the minimization of a measure of the distance between the velocity field and a given target velocity field. A mixed numerical method involving a quasi-Newton algorithm, a novel calculation of the gradients and an inhomogeneous Navier-Stokes solver, to find the opt...

Technische Universität Berlin Institut für Mathematik Regularization and Numerical Simulation of Dynamical Systems Modeled with Modelica

Quasi-linear differential-algebraic equations (DAEs) are essential tools for modeling dynamical processes, e.g. for mechanical systems, electrical circuits or chemical reactions. These models are in general of higher index and contain so called hidden constraints which lead to instabilities and order reductions during numerical integration of the model equations. In this article we consider dyn...

TECHNISCHE UNIVERSITÄT BERLIN Regularization of Constrained PDEs of Semi-Explicit Structure

A general framework for the regularization of constrained PDEs, also called operator DAEs, is presented. The given procedure works for semi-explicit operator DAEs of first order which includes the Navier-Stokes and other flow equations. This reformulation is a regularization in the sense that a semi-discretization in space leads to a DAE of lower index, i.e., of differentiation index 1 instead ...