Recent Publications

Higher-dimensional deterministic formulation of hyperbolic conservation laws with uncertain initial data
- Preprint IGPM Report No. 514, June 2021, 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, 2021,
- 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