Recent Publications
High-dimensional stochastic finite volumes using the tensor train format- arXiv preprint arXiv:2502.04868, February 2025
- Juliette Dubois, Michael Herty, S.M.
Baer-Nunziato-type models for isothermal and isentropic flows
- Maren Hantke, S.M., Aleksey Sikstel, Ferdinand Thein
- accepted for publication in ESAIM Proceedings and Survey, December 2024
Numerical Boundary Control of Multi-Dimensional Hyperbolic Equations
- arXiv preprint arXiv:2410.21890, October 2024
- Michael Herty, Kai Hinzmann, S.M., Ferdinand Thein
A novel multilevel approach for the efficient computation of random hyperbolic conservation laws
- Michael Herty, Adrian Kolb, S.M.
- in: Multiscale, Nonlinear and Adaptive Approximation II
- eds.: R. DeVore and A. Kunoth
- pub.: Springer, 2024
- pages: 327-346
Numerical schemes for coupled systems of nonconservative hyperbolic equations
- arXiv preprint arXiv:2311.03581, November 2023
- Niklas Kolbe, Michael Herty, S.M.
- SIAM Journal on Numerical Analysis, 62(5), 2143–2171, 2024
- DOI: 10.1137/23M1615176
A relaxation approach to the coupling of a two-phase fluid with a linear-elastic solid
- arXiv preprint arXiv:2409.05473, September 2024
- Niklas Kolbe, S.M.
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
- Journal of Computational Physics, Volume 518, 1 December 2024, 113330
A survey on isothermal and isentropic Baer-Nunziato-type models
- arXiv preprint arXiv:2407.06919, July 2024
- Maren Hantke, S.M., Aleksey Sikstel, Ferdinand Thein
A central scheme for two coupled hyperbolic systems
- Commun. Appl. Math. Comput., 6, 2093–2118, 2023
- DOI: 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
- In: Parés, C., Castro, M.J., Morales de Luna, T., Muñoz-Ruiz, M.L. (eds) Hyperbolic Problems: Theory, Numerics, Applications. Volume II. HYP 2022. SEMA SIMAI Springer Series, vol 35. Springer, Cham.,
- DOI: 10.1007/978-3-031-55264-9_10,
- 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
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.