Recent Publications

Radially symmetric solutions of the ultra-relativistic Euler equations in several space dimensions
- arXiv preprint arXiv:2402.12857, February 2024
- Matthias Kunik, Adrian Kolb, S.M., Ferdinand Thein



Numerical schemes for coupled systems of nonconservative hyperbolic equations
- arXiv preprint arXiv:2311.03581, November 2023
- Niklas Kolbe,Michael Herty, S.M.



A central scheme for two coupled hyperbolic systems
- Commun. Appl. Math. Comput. (2023). https://doi.org/10.1007/s42967-023-00306-5
- Michael Herty, Niklas Kolbe, S.M.



An effective model for the simulation of transpiration cooling
- Commun. Appl. Math. Comput. (2023). https://doi.org/10.1007/s42967-023-00304-7
- S.M., Michael Rom



A central scheme for coupled hyperbolic systems
- arXiv preprint arXiv:2304.13946, April 2023,
- Michael Herty, Niklas Kolbe, S.M.



Model adaptation for hyperbolic balance laws
- arXiv preprint 2302.11008, February 2023,
- accepted for publication in proceedings of XVIII International Conference on Hyperbolic Problems: Theory, Numerics, Applications. (HYP2022),
- Jan Giesselmann, Hrishikesh Joshi, S.M., Aleksey Sikstel



Higher-dimensional deterministic approach for conservation laws with random initial data
- accepted for publication in proceedings of XVIII International Conference on Hyperbolic Problems: Theory, Numerics, Applications. (HYP2022),
- Michael Herty, Adrian Kolb, S.M.



Multiresolution-analysis for stochastic hyperbolic conservation laws
- arXiv preprint arXiv:2203.11534, March 2022,
- IMA Journal of Numerical Analysis, 00, 1--40, 2023,
- DOI:10.1093/imanum/drad010,
- Michael Herty, Adrian Kolb, S.M.



Central schemes for networked scalar conservation laws
- arXiv preprint 2209.05137, September 2022,
- Networks and Heterogeneous Media, 18(1), 310--340, 2022,
- DOI:10.3934/nhm.2023012,
- Michael Herty, Niklas Kolbe, S.M.



Analytical investigation of 1D Darcy-Forchheimer flow under local thermal nonequilibrium
- Preprint IGPM Report No. 521 , August 2022, IGPM, RWTH Aachen,
- arXiv preprint 2208.13502, August 2022
- S.M., Michael Rom



Derivation and analysis of a 1D porous medium flow solver embedded in a two-domain model for 2D and 3D transpiration cooling
- International Journal of Heat and Mass Transfer, 195, 123127, 2022,
- DOI:10.1016/j.ijheatmasstransfer.2022.123127,
- Michael Rom, S.M.



Probabilistic constrained Bayesian Inversion for transpiration cooling
- arXiv preprint arXiv:2203.07122, March 2022,
- International Journal for Numerical Methods in Fluids, 94(12), 2020--2039, 2022
- DOI:10.1002/fld.5135,
- Ella Steins, Tan Bui-Thanh, Michael Herty, S.M.



Higher-dimensional deterministic formulation of hyperbolic conservation laws with uncertain initial data
- Preprint IGPM Report No. 514 , June 2021, revised March 2022, IGPM, RWTH Aachen,
- Michael Herty, Adrian Kolb, S.M.



Why homogenization should be the averaging method of choice in hydrodynamic lubrication
- Applications in Engineering Science, Volume 7, September 2021, 100055,
- DOI: 10.1016/j.apples.2021.100055,
- Michael Rom, Florian König, S.M., Georg Jacobs



Flow solutions of transport equations
- Communications in Partial Differential Equations, 46(1), 98--134, 2021,
- DOI: 10.1080/03605302.2020.1831018,
- Preprint arXiv:1912.06815,
- Sholeh Karimghasemi, S.M., Michael Westdickenberg



News on Baer-Nunziato-type model at pressure equilibrium
- Continuum Mechanics and Thermodynamics,
- 33(3), 767-788, 2021, DOI: 10.1007/s00161-020-00956-3,
- Maren Hantke, S.M., Lene Grabowsky



A wavelet-free approach for multiresolution-based grid adaptation for conservations laws
- Communications on Applied Mathematics and Computation, 2022,
- 4(1), 108-–142, DOI: 10.1007/s42967-020-00101-6,
- Nils Gerhard, S.M., Aleksey Sikstel



Coupling of Two Hyperbolic Systems by Solving Half-Riemann Problems
- in: Mathematical Modeling, Simulation and Optimization for Power Engineering and Management,
- S. Göttlich, M. Herty, A. Milde (Eds.),
- p. 285-302, Springer, 2021, DOI: 10.1007/978-3-030-62732-4
- Michael Herty, S.M., A. Sikstel,



A Coupled Two-Domain Approach for Transpiration Cooling
- Notes on Numerical Fluid Mechanics and Multidisciplinary Design,
- Future Space-Transport-System Components under High Thermal and Mechanical Loads,
- N. Adams, W. Schröder, R. Radespiel, O. Haidn, Th. Sattelmayer, C. Stemmer, B. Weigand, (Eds.),
- p. 33-49, Springer, 2021, DOI: 10.1007/978-3-030-53847-7, 2021,
- Valentina König, Michael Rom, S.M.



Multiwavelet-based mesh adaptivity with Discontinuous Galerkin schemes: Exploring 2D shallow water problems
- Advances in Water Resources 138 (2020), DOI: 10.1016/j.advwatres.2020.103559
- Daniel Caviedes-Voullième, Nils Gerhard, Aleksey Sikstel, S.M.



Effective boundary conditions for transpiration cooling applications
- Preprint IGPM Report No. 501, January 2020, IGPM, RWTH Aachen,
- Valentina König, S.M.



Coupling of Linear Elastic Equations and Compressible Euler Equations and Stiffened Gas
- Preprint IGPM Report No. 499, January 2020, IGPM, RWTH Aachen,
- Michael Herty, S.M., A. Sikstel



Numerical investigation of transpiration cooling in supersonic nozzles
-Proceedings of 8TH EUROPEAN CONFERENCE FOR AERONAUTICS AND AEROSPACE SCIENCES (EUCASS), 2019, DOI: 10.13009/EUCASS2019-91,
- Valentina König, S.M., Michael Rom



Closure conditions for a one temperature non-equilibrium multi-component model of Baer-Nunziato type
-ESAIM: Proceedings and Surveys, Vol. 66, 42-60, 2019, DOI: https://doi.org/10.1051/proc/201966003
- Maren Hantke, S.M.



Coupling of compressible Euler equations
- Preprint IGPM Report No. 483, October 2018, IGPM, RWTH Aachen,
- Vietnam Journal of Mathematics, 47(4), 769-792, 2019, DOI:10.1007/s10013-019-00353-7,
- Michael Herty, S.M., A. Sikstel


A new model for textured surface lubrication based on a modified Reynolds equation including inertia effects
- Tribology International, 133, 53-66, 2019, DOI 10.1016/j.triboint.2018.12.030
- M. Rom, S.M.


A reduced order model to simulate compressible flows over an actuated riblet surface
-Applied Mathematics and Computation, 348, 234-256, 2019, DOI: 10.1016/j.amc.2018.11.059
- Giulia Deolmi, S.M., Marian Albers, Pascal Meysonnat, Wolfgang Schröder



Numerical and experimental investigation of transpiration cooling with C/C characteristic outflow distributions
-Journal of Thermophysics and Heat Transfer, DOI 10.2514/1.T5457, 2018
- Valentina König, Michael Rom, S.M., Markus Selzer, Sven Schweikert, Jens von Wolfersdorf



The simulation of a tsunami run-up using multiwavelet-based grid adaptation
- in: Theory, Numerics and Applications of Hyperbolic Problems I, Ch. Klingenberg, M. Westdickenberg (eds.)
- Springer Proceedings in Mathematics & Statistics, Vol. 236, p. 603-615, DOI 10.1007/978-3-319-91545-6_46, 2018
- Nils Gerhard, S.M.


Effective Boundary Conditions for Turbulent Compressible Flows over a Riblet Surface
- in: Theory, Numerics and Applications of Hyperbolic Problems I, Ch. Klingenberg, M. Westdickenberg (eds.)
- Springer Proceedings in Mathematics & Statistics, Vol. 236, p. 473-485, DOI 10.1007/978-3-319-91545-6_36, 2018
- Giulia Deolmi, Wolfgang Dahmen, S.M., Marian Albers, Pascal S. Meysonnat, Wolfgang Schröder


Fluid-structure coupling of a linear elastic model with a compressible flow model with multilevel timestepping
-Proceedings of 6th European Conference on Computational Mechanics, 7th European Conference on Computational Fluid Mechanics, Glasgow, 11-15 June 2018, p. 3049-3059, 2019, ISBN 978-84-947311-6-7
- Michael Herty, S.M., Aleksey Sikstel



An effective Navier-Stokes model for the simulation of textured surface lubrication
- Tribology International, 124, 247--258, 2018, DOI: 10.1016/j.triboint.2018.04.011
- M. Rom, S.M.


A reduced basis method for the homogenized Reynolds equation applied to textured surfaces
- Communications in Computational Physics, 24(2), 481--509, 2018, DOI:10.4208/cicp.OA-2017-0121
- M. Rom, S.M.


A two-step model order reduction method to simulate a compressible flow over an extended rough surface
- Mathematics and Computers in Simulation, 150, 49--65, 2018, DOI:10.1016/j.matcom.2018.02.008
- G. Deolmi, S.M.


Analysis and simulation of a new multi-component two-phase flow model with phase transitions and chemical reactions
- Oberwolfach Preprint 2017-8, 2017, Mathematisches Forschungsinstitut Oberwolfach,
- Quarterly of Applied Mathematics, 76(2), 253--287, 2018.
- M. Hantke, S.M.,


Influence of non-uniform injection into a transpiration-cooled turbulent channel flow: A numerical study
-AIAA Science and Technology Forum and Exposition, Kissimmee, Florida, 8-12 January 2018, AIAA paper AIAA-2018-0504, https://doi.org/10.2514/6.2018-0504,
- Valentina König, S.M., Michael Rom