19 citations · 115 across the 27 of their papers we have counts for
30 papers
Random field reconstruction of inhomogeneous turbulence. Part II: Numerical approximation and simulation
Markus Antoni, Quinten Kürpick, Felix Lindner +2
A novel random field model or the reconstruction of turbulent velocity fluctuations from inhomogeneous characteristic flow quantities in terms of stochastic Fourier-type integrals…
Viscoelastic model hierarchy for fiber melt spinning of semi-crystalline polymers
Manuel Ettmüller, Walter Arne, Nicole Marheineke +1
In the fiber melt spinning of semi-crystalline polymers, the degree of crystallization can be non-homogeneous over the cross-section of the fiber, affecting the properties of the e…
Commutator-based operator splitting for linear port-Hamiltonian systems
Marius Mönch, Nicole Marheineke
In this paper, we develop high-order splitting methods for linear port-Hamiltonian systems, focusing on preserving their intrinsic structure, particularly the dissipation inequalit…
Splitting Techniques for DAEs with port-Hamiltonian Applications
Andreas Bartel, Malak Diab, Andreas Frommer +2
In the simulation of differential-algebraic equations (DAEs), it is essential to employ numerical schemes that take into account the inherent structure and maintain explicit or hid…
On a port-Hamiltonian formulation and structure-preserving numerical approximations for thermodynamic compressible fluid flow
Sarah-Alexa Hauschild, Nicole Marheineke
The high volatility of renewable energies calls for more energy efficiency. Thus, different physical systems need to be coupled efficiently although they run on various time scales…
Simulation-based High-Speed Elongational Rheometer for Carreau-type Materials
Lukas Kannengiesser, Walter Arne, Alexander Bier +3
For the simulation-based design of fiber melt spinning processes, the accurate modeling of the processed polymer with regard to its material behavior is crucial. In this work, we d…
Random field reconstruction of inhomogeneous turbulence. Part I: Modeling and analysis
Markus Antoni, Quinten Kürpick, Felix Lindner +2
We develop and analyze a random field model for the reconstruction of turbulent velocity fluctuations from inhomogeneous characteristic flow quantities provided by RANS simulations…
Operator splitting for port-Hamiltonian systems
Andreas Frommer, Michael Günther, Björn Liljegren-Sailer +1
The port-Hamiltonian approach presents an energy-based modeling of dynamical systems with energy-conservative and energy-dissipative parts as well as an interconnection over the so…
Certified Reduced Basis Method for the Damped Wave Equations on Networks
Nadine Stahl, Björn Liljegren-Sailer, Nicole Marheineke
In this paper we present a reduced basis method which yields structure-preservation and a tight a posteriori error bound for the simulation of the damped wave equations on networks…
On snapshot-based model reduction under compatibility conditions for a nonlinear flow problem on networks
Björn Liljegren-Sailer, Nicole Marheineke
This paper is on the construction of structure-preserving, online-efficient reduced models for the barotropic Euler equations with a friction term on networks. The nonlinear flow p…
On flow-enhanced crystallization in fiber spinning: Asymptotically justified boundary conditions for numerics of a stiff viscoelastic two-phase model
Manuel Ettmüller, Walter Arne, Nicole Marheineke +1
For flow-enhanced crystallization in fiber spinning, the viscoelastic two-phase fiber models by Doufas et al. (J. Non-Newton. Fluid Mech., 2000) and Shrikhande et al. (J. Appl. Pol…
Nonlinear Reduction using the Extended Group Finite Element Method
Kevin Tolle, Nicole Marheineke
In this paper, we develop a nonlinear reduction framework based on our recently introduced extended group finite element method. By interpolating nonlinearities onto approximation…
Efficient Graph-based Tensile Strength Simulations of Random Fiber Structures
Marc Harmening, Nicole Marheineke, Raimund Wegener
In this paper, we propose a model-simulation framework for virtual tensile strength tests of random fiber structures, as they appear in nonwoven materials. The focus is on the effi…
On port-Hamiltonian approximation of a nonlinear flow problem on networks
Björn Liljegren-Sailer, Nicole Marheineke
This paper deals with the systematic development of structure-preserving approximations for a class of nonlinear partial differential equations on networks. The class includes, for…
Efficient State Estimation for Gas Pipeline Networks via Low-Rank Approximations
Nadine Stahl, Nicole Marheineke
In this paper we investigate the performance of projection-based low-rank approximations in Kalman filtering. For large-scale gas pipeline networks structure-preserving model order…
Extended Group Finite Element Method
Kevin Tolle, Nicole Marheineke
Interpolation methods for nonlinear finite element discretizations are commonly used to eliminate the computational costs associated with the repeated assembly of the nonlinear sys…
Port-Hamiltonian modeling of district heating networks
Sarah-Alexa Hauschild, Nicole Marheineke, Volker Mehrmann +4
This paper provides a first contribution to port-Hamiltonian modeling of district heating networks. By introducing a model hierarchy of flow equations on the network, this work aim…
Modeling and Simulation of Curved Fibers in Dry Spinning Scenarios
Manuel Wieland, Walter Arne, Nicole Marheineke +1
Dry spinning is characterized by the simultaneous production of multiple thin polymeric fibers in airflows and the evaporation of the solvent contained in these fibers. This involv…
Melt-Blowing of Viscoelastic Jets in Turbulent Airflows: Stochastic Modeling and Simulation
Manuel Wieland, Walter Arne, Nicole Marheineke +1
In melt-blowing processes mico- and nanofibers are produced by the extrusion of polymeric jets into a directed, turbulent high-speed airflow. Up to now the physical mechanism for t…
Model reduction techniques for linear constant coefficient port-Hamiltonian differential-algebraic systems
Sarah-Alexa Hauschild, Nicole Marheineke, Volker Mehrmann
Port-based network modeling of multi-physics problems leads naturally to a formulation as port-Hamiltonian differential-algebraic system. In this way, the physical properties are d…
Input-tailored system-theoretic model order reduction for quadratic-bilinear systems
Björn Liljegren-Sailer, Nicole Marheineke
In this paper we suggest a moment matching method for quadratic-bilinear dynamical systems. Most system-theoretic reduction methods for nonlinear systems rely on multivariate frequ…
An Efficient Numerical Framework for Fiber Spinning Scenarios with Evaporation Effects in Airflows
Manuel Wieland, Walter Arne, Robert Feßler +2
In many spinning processes, as for example in dry spinning, solvent evaporates out of the spun jets and leads to thinning and solidification of the produced fibers. Such production…
On structure-preserving model reduction for damped wave propagation in transport networks
Herbert Egger, Thomas Kugler, Björn Liljegren-Sailer +2
We consider the discretization and subsequent model reduction of a system of partial differential-algebraic equations describing the propagation of pressure waves in a pipeline net…
Whipping of electrified visco-capillary jets in airflows
Walter Arne, Nicole Marheineke, Miguel Perez-Saborid +3
An electrified visco-capillary jet shows different dynamic behavior, such as cone forming, breakage into droplets, whipping and coiling, depending on the considered parameter regim…