62 citations · 104 across the 7 of their papers we have counts for
11 papers
Fast and Reliable Transient Simulation and Continuous Optimization of Large-Scale Gas Networks
Pia Domschke, Oliver Kolb, Jens Lang
We are concerned with the simulation and optimization of large-scale gas pipeline systems in an error-controlled environment. The gas flow dynamics is locally approximated by suffi…
Modeling and simulation of sector-coupled networks: A gas-power benchmark
Eike Fokken, Tillmann Mühlpfordt, Timm Faulwasser +2
In this contribution, we aim at presenting a gas-to-power benchmark problem that can be used for the simulation of electricity and gas networks in a time-dependent environment. Bas…
Chance-constrained optimal inflow control in hyperbolic supply systems with uncertain demand
Simone Göttlich, Oliver Kolb, Kerstin Lux
In this paper, we address the task of setting up an optimal production plan taking into account an uncertain demand. The energy system is represented by a system of hyperbolic part…
Weighted Essentially Non-Oscillatory stochastic Galerkin approximation for hyperbolic conservation laws
Louisa Schlachter, Florian Schneider, Oliver Kolb
In this paper we extensively study the stochastic Galerkin scheme for uncertain systems of conservation laws, which appears to produce oscillations already for a simple example of…
A combined first and second order model for a junction with ramp buffer
Jennifer Weißen, Oliver Kolb, Simone Göttlich
Second order macroscopic traffic flow models are able to reproduce the so-called capacity drop effect, i.e., the phenomenon that the outflow of a congested region is substantially…
Optimal control of compressor stations in a coupled gas-to-power network
Eike Fokken, Simone Göttlich, Oliver Kolb
We introduce a tool for simulation and optimization of gas pipeline networks coupled to power grids by gas-to-power plants. The model under consideration consists of the isentropic…
Modeling and simulation of gas networks coupled to power grids
Eike Fokken, Simone Göttlich, Oliver Kolb
In this paper, a mathematical framework for the coupling of gas networks to electric grids is presented to describe in particular the transition from gas to power. The dynamics of…
Maximum principle satisfying CWENO schemes for non-local conservation laws
Jan Friedrich, Oliver Kolb
Central WENO schemes are a natural candidate for higher-order schemes for non-local conservation laws, since the underlying reconstructions do not only provide single point values…
A Godunov type scheme for a class of LWR traffic flow models with non-local flux
Jan Friedrich, Oliver Kolb, Simone Göttlich
We present a Godunov type numerical scheme for a class of scalar conservation laws with non-local flux arising for example in traffic flow models. The proposed scheme delivers more…
Pareto-optimal coupling conditions for the Aw-Rascle-Zhang traffic flow model at junctions
Oliver Kolb, Guillaume Costeseque, Paola Goatin +1
This article deals with macroscopic traffic flow models on a road network. More precisely, we consider coupling conditions at junctions for the Aw-Rascle-Zhang second order model c…
On a third order CWENO boundary treatment with application to networks of hyperbolic conservation laws
Alexander Naumann, Oliver Kolb, Matteo Semplice
High order numerical methods for networks of hyperbolic conservation laws have recently gained increasing popularity. Here, the crucial part is to treat the boundaries of the singl…