Melina Merkel M.Sc.

Working area(s)

Model Order Reduction and Shape Optimization with Isogeometric Analysis

Contact

work +49 6151 16-24393
fax +49 6151 16-24027

Work S2|17 33
Schloßgartenstr. 8
64289 Darmstadt

The research project addresses the multiphysical simulation and shape optimization of electrical machines based on Isogeometric Analysis (IGA) in three dimensions. Isogeometric analysis is based on the use of B-splines and nonuniform rational B-splines (NURBS) for both geometry representation and solution space instead of non-smoothly interconnected polynomials. These bases allow for the direct and approximation-free use of geometry data of computer-aided design (CAD), and therefore a simplified implementation of freeform optimization. In IGA, the solutions are also given in terms of splines, such that neither interpolation nor remeshing are necessary when considering the interaction between electromagnetic, thermal and mechanical phenomena and Noise-Vibration-Harshness calculations. Furthermore, for smooth solutions IGA has a higher accuracy per degree of freedom. This is especially relevant in the air gap of an electric machine, where the smoothness of the solution can be exploited. High numerical efficiency when considering rotation of the machine will be achieved by the use of mortaring, , e.g. by harmonic stator-rotor coupling.

  • 2016 EMTS young scientist award für den Beitrag ‘An Application of ParaExp to Electromagnetic Wave Problems’

2020

Merkel, Melina ; Schöps, Sebastian (2020):
Isogeometric Mortaring for the Simulation of Electric Machines.
In: Workshop on Advances in Electromagnetic Research – KWT 2020. URL: http://maxwell-in-motion.org. [Talk]

Egger, Herbert ; Harutyunyan, Mané ; Merkel, Melina ; Schöps, Sebastian (2020):
On the stability of harmonic mortar methods with application to electric machines.
In: Scientific Computing in Electrical Engineering SCEE 2020, Mathematics in Industry. Springer. ARXIV: 2005.12020, forthcoming. [In Proceedings]

2019

Merkel, Melina ; Bontinck, Zeger ; Corno, Jacopo ; Casper, Thorben ; Schöps, Sebastian ; De Gersem, Herbert (2019):
Convergence and Stability of Harmonic Stator-Rotor Coupling for the Simulation of Rotating Electric Machines using Isogeometric Analysis.
In: Seminar, Muroran, Japan. [Talk]

Merkel, Melina ; Gangl, Peter ; Schöps, Sebastian ; De Gersem, Herbert (2019):
Shape Optimization of Electric Machines using Isogeometric Analysis.
In: Workshop on Advances in Electromagnetic Research – KWT 2019, Rietzlern, Austria. URL: http://maxwell-in-motion.org. [Talk]

Merkel, Melina ; Gangl, Peter ; Schöps, Sebastian ; De Gersem, Herbert (2019):
Shape Optimization of Rotating Electric Machines using Isogeometric Analysis and Harmonic Stator-Rotor Coupling.
In: 22nd Conference on the Computation of Electromagnetic Fields (COMPUMAG 2019), Paris, France. International Compumag Society. URL: http://compumag2019.com. [Talk]

Merkel, Melina (2019):
Shape Optimizing a Permanent Magnet Synchronous Machine using Isogeometric Analysis. Technische Universität Darmstadt, Darmstadt. [Master's Thesis]

Merkel, Melina ; Gangl, Peter ; Schöps, Sebastian ; De Gersem, Herbert (2019):
Using Isogeometric Analysis for the Shape Optimization of Rotating Electric Machines Coupled by Harmonic Stator-Rotor Coupling.
In: VII International Conference on Isogeometric Analysis (IGA 2019), München. URL: http://congress.cimne.com/IGA2019/. [Talk]

2018

Merkel, Melina ; Bontinck, Zeger ; Corno, Jacopo ; Casper, Thorben ; Schöps, Sebastian ; De Gersem, Herbert (2018):
Simulation of Rotating Electric Machines Using Isogeometric Analysis with Harmonic Stator-Rotor Coupling.
In: Seminar, Graz, Austria. [Talk]

Merkel, Melina ; Bontinck, Zeger ; Corno, Jacopo ; Casper, Thorben ; Schöps, Sebastian ; De Gersem, Herbert (2018):
Harmonic Stator-rotor Coupling for The Simulation of Electrical Machines Using Isogeometric Analysis.
In: Proceedings of 17th Biennial IEEE Conference on Electromagnetic Field Computation (CEFC 2018), Hangzhou, China. URL: http://www.cefc2018.org. [Poster]

Merkel, Melina ; Bontinck, Zeger ; Corno, Jacopo ; Schöps, Sebastian ; De Gersem, Herbert (2018):
Harmonic Stator-rotor Coupling for The Simulation of Electrical Machines Using Isogeometric Analysis.
In: Workshop on Advances in Electromagnetic Research – KWT 2018, Rietzlern, Austria. URL: http://maxwell-in-motion.org. [Poster]

Kulchytska-Ruchka, Iryna ; Merkel, Melina ; Schöps, Sebastian (2018):
Parallel-In-Time Methods for the Computation of Electromagnetic Fields.
In: Mathematisches Kolloquium der Bergischen Universität Wuppertal, Wuppertal. [Talk]

2017

Schöps, Sebastian ; Merkel, Melina ; Niyonzima, Innocent (2017):
Parallel-In-Time Methods for the Simulation of Electromagnetic Field Problems.
In: URSI-B Workshop Felder und Wellen, Groß-Behnitz, Germany. [Talk]

Merkel, Melina ; Niyonzima, Innocent ; Schöps, Sebastian (2017):
ParaExp using Leapfrog as Integrator for High-Frequency Electromagnetic Simulations.
In: Radio Science, 52, (12), pp. 1558–1569, DOI: 10.1002/2017RS006357, ARXIV: 1705.08019. [Article]

Merkel, Melina ; Niyonzima, Innocent ; Schöps, Sebastian (2017):
ParaExp using Leap-Frog as Integrator for High-Frequency Electromagnetic Simulations.
In: SIAM Conference on Computational Science and Engineering (CSE) 2017, Atlanta, Gergia, USA. URL: https://www.siam.org/meetings/cse17/. [Talk]

2016

Merkel, Melina ; Niyonzima, Innocent ; Schöps, Sebastian (2016):
An Application of ParaExp to Electromagnetic Waves.
In: 22nd URSI International Symposium on Electromagnetic Theory (EMTS 2016), Espoo, Finland. URL: http://www.emts2016.org. [Talk]

Merkel, Melina (2016):
Investigation of ParaExp for Hyperbolic Problems. Technische Universität Darmstadt, Darmstadt. [Bachelor's Thesis]

Merkel, Melina ; Niyonzima, Innocent ; Schöps, Sebastian (2016):
An Application of ParaExp to Electromagnetic Waves.
In: 2016 URSI International Symposium on Electromagnetic Theory (EMTS), 121–124. IEEE. ISBN: 978-1-5090-2503-9, DOI: 10.1109/URSI-EMTS.2016.7571330, ARXIV: 1607.00368. [In Proceedings]