Institute of Aerodynamics and Gas Dynamics
- High order numerical schemes for computational fluid dynamics
- Numerical schemes for multi-scale and multi-physics application
- Applications in aerodynamics, aeroacoustics, gas dynamics, plasma physics, and multi-phase flow
- Numerical methods for partial differential equations
- Scientific computing
Piecewise continuous approximations allow a high flexibility in the discretization: Adaptive unstructured grids with refinement and coarsening may be combined with a local enrichment of the set of basis functions to get locally a better resolution. Furthermore the coupling of different physical phenomena needs a high flexibility in the numerical tools.
The main objective of the research is the construction of numerical methods, which have as many as possible of the following properties:
- hp-adaptivity on unstructured grids,
- curved grid cells at obstacles,
- non-conforming approximation spaces,
- local time-stepping for transient solutions,
- arbitrary order in space and time,
- fully conservative,
- fast on high performance computers.
Finite volume schemes, discontinuous Galerkin schemes and their combination of reconstructed discontinuous Galerkin schemes is the topic of research.
Beside the constructions of the numerical methods and their efficient implementation on high performance computers also the applications to selected real industrial problems is considered. The main fields of applications are from computational fluid mechanics and include problems within the fields of aerodynamics, aeroacoustics, multi-phase flow, and plasma flows.
Approximate Riemann solver for compressible liquid vapor flow with phase transition and surface tension Journal Article Forthcoming
Computers & Fluids, Forthcoming.
Journal of Computational Physics, 336 , pp. 347–374, 2017.
Journal of Sound and Vibration, 2016.
Monthly Notices of the Royal Astronomical Society, 455 (4), pp. 3458-3479 , 2016, ISSN: 1365-2966.
International Journal of Numerical Methods in Fluids Journal for Numerical Methods in Fluids, 78 (7), pp. 413-435, 2015, ISSN: 1097-0363.
Underresolved Turbulence Simulations with Stabilized High Order Discontinuous Galerkin Methods Incollection
Jochen Fröhlich Hans Kuerten, Bernard Geurts Vincenzo Armenio J (Ed.): Direct and Large-Eddy Simulation IX, 20 (1), pp. 103–108, Springer International Publishing, 2015, ISBN: 978-3-319-14448-1.
Mesh Curving Techniques for High Order Discontinuous Galerkin Simulations Incollection
Kroll, N; Hirsch, C; Bassi, F; Johnston, C; Hillewaert, K (Ed.): IDIHOM: Industrialization of High-Order Methods-A Top-Down Approach, 128 , pp. 133–152, Springer International Publishing, 2015, ISBN: 978-3-319-12885-6.
Direct Visualization of Piecewise Polynomial Data Incollection
Kroll, N; Hirsch, C; Bassi, F; Johnston, C; Hillewaert, K (Ed.): IDIHOM: Industrialization of High-Order Methods - A Top-Down Approach, 128 , pp. 535–550, Springer International Publishing, 2015, ISBN: 978-3-319-12885-6.
High-Order Discontinuous Galerkin Schemes for Large-Eddy Simulations of Moderate Reynolds Number Flows Incollection
Kroll, N; Hirsch, C; Bassi, F; Johnston, C; Hillewaert, K (Ed.): IDIHOM: Industrialization of High-Order Methods - A Top-Down Approach, 128 , pp. 435–456, Springer International Publishing, 2015, ISBN: 978-3-319-12885-6.
Nagel, W E; Kröner, D H; Resch, M M (Ed.): High Performance Computing in Science and Engineering ‘14, Springer, 2015, ISBN: 978-3-319-10810-0.
Discontinuous Galerkin for High Performance Computational Fluid Dynamics Incollection
Nagel, Wolfgang E; Kröner, Dietmar H; Resch, Michael M (Ed.): High Performance Computing in Science and Engineering ‘14, pp. 499–518, Springer International Publishing, 2014, ISBN: 978-3-319-10809-4.
International Journal of Numerical Methods in Fluids, 76 (8), pp. 522-548, 2014.
Comptes Rendus Mécanique, 342 (10-11), pp. 662–670, 2014, ISSN: 1631-0721.
Simulation of compressible multi-phase flows at extreme ambient conditions using a Discontinuous Galerkin Method Inproceedings
Proceedings of the 26th Annual Conference on Liquid Atomization and Spray Systems (ILASS) 2014, Bremen, Germany, 2014.
A stochastic closure approach for LES with application to turbulent channel flow Journal Article
Direct and Large-Eddy Simulation IX, 2014, (in review, to appear in 2014).
Coupling of compressible and incompressible flow regions using the multiple pressure variables approach Journal Article
Math. Meth. Appl. Science, to appear, 2014.
Modeling of combustion and flow in a single element GH2/GO2 combustor Journal Article
CEAS Space Journal, to appear, 2014.
A pressure-based treatment for the direct numerical simulation of compressible multi-phase flow using multiple pressure variables Journal Article
Computers and Fluids, to appear, 2014.
International Journal for Numerical Methods in Fluids, 2014, ISSN: 1097-0363.
A Combined Finite Volume Discontinuous Galerkin Approach for the Sharp-Interface Tracking in Multi-Phase Flow Incollection
Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems, pp. 911–918, Springer, 2014.
Efficient implementation of high order unstructured WENO schemes for cavitating flows Journal Article
Computers and Fluids, 86 , pp. 141-168, 2013.
Nagel, Wolfgang E; Kröner, Dietmar H; Resch, Michael M (Ed.): High Performance Computing in Science and Engineering ‘13, pp. 281-294, Springer International Publishing, 2013, ISBN: 978-3-319-02164-5.
Interface coupling based on a Discontinuous Galerkin multi-scale method for compressible multiphase flow Inproceedings
Proceedings of the 8th International Conference on Multiphase Flow ICMF 2013, Jeju, Korea., 2013.
Preconditioning for modal discontinuous Galerkin methods for unsteady 3D Navier-Stokes equations Journal Article
J. Comput. Phys., 240 , pp. 20-35, 2013.
Efficient parallelization of a three-dimensional high-order particle-in-cell for the simulation of a 170 GHz gyrotron resonator Journal Article
IEEE Transactions on Plasma Science, 41 , pp. 87-98, 2013.
High order finite volume schemes on unstructured meshes based on defect corrections Journal Article
ZAMM - Z. Angew. Math. Mech., 93 , pp. 423 – 436, 2013.
Keller, Rainer ; Kramer, David ; Weiss, Jan-Philipp (Ed.): Facing the Multicore-Challenge III, 7686 , pp. 37-47, Springer Berlin Heidelberg, 2013, ISBN: 978-3-642-35892-0.
Direct numerical simulation of compressible multiphase flow using a Discontinuous Galerkin based multiscale approach Inproceedings
Proceedings of the 12th Triennial International Conference on Liquid Atomization and Spray Systems, Heidelberg, Germany., 2012.
Three-dimensional numerical simulation of a 30-GHz gyrotron resonator with an explicit high-order discontinuous Galerkin based parallel particle-in-cell method Journal Article
IEEE Transactions on Plasma Science, 40 , pp. 1860, 2012.
Explicit Discontinuous Galerkin methods for unsteady problems Journal Article
Computers&Fluids, 61 , pp. 86-93, 2012, ISSN: 0045-7930.
Discontinuous Galerkin schemes with defect corrections based on reconstruction Journal Article
Computers and Fluids, 62 , pp. 71-85, 2012.
IEEE Transactions on Microwave Theory and Techniques, 40 , pp. 1512 - 1521, 2012, ISSN: 0093-3813.
Nagel, Wolfgang E; Kröner, Dietmar B; Resch, Michael M (Ed.): High Performance Computing in Science and Engineering '11, pp. 277-288, Springer Berlin Heidelberg, 2012, ISBN: 978-3-642-23868-0.
Aeroacoustics Conferences, American Institute of Aeronautics and Astronautics, 2012.
Discontinuous Galerkin schemes for the direct numerical simulation of fluid flow and acoustics Inproceedings
42nd AIAA Fluid Dynamics Conference and Exhibit. New Orleans: American Institute of Aeronautics and Astronautics, pp. 2012–2187, 2012.
A discontinuous Galerkin based multiscale method for compressible multiphase flow Inproceedings
Proceedings of the Seventh International Conference on Computational Fluid Dynamics (ICCFD7), 2012.
20th AIAA Computational Fluid Dynamics Conference, Honolulu, Hawaii, June 27-30, 2011 , 2011.
A high order sharp-interface method with local time stepping for compressible multiphase flows Journal Article
Communications in Computational Physics, 9 , pp. 205-230, 2011.
Comparison of coupling techniques in a high-order discontinuous Galerkin based particle in cell solver Journal Article
J. Phys. D: Appl. Phys., 44 , 2011.
Journal of Computational Physics, 230 (11), pp. 4232 - 4247, 2011, (Special issue High Order Methods for CFD Problems).
Wang, Z J (Ed.): Adaptive High-Order Methods in Computational Fluid Dynamics, World Scientific, 2011.
Modeling of long-range intra- and inter-species charged particle collisions for PIC simulations Journal Article
Comm. in Comput. Physics (CiCP), 7 , pp. 877-903, 2010.
Proceedings of ECCOMAS, 2010.
Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics Journal Article
J. Comput. Phys., 228 , pp. 2480-2516, 2009.
A high order discontinuous Galerkin method with time accurate local time stepping for the Maxwell equations Journal Article
Int. J. of Numerical Modeling: Electronic Networks, Devices and Fields, 22 , pp. 77-103, 2009.
Heterogeneous parallelism of aero-acoustic applications using PACX-MP1 Journal Article
Interdisciplinary Information Sciences , 15 , pp. 79-84, 2009.
Plasma Science, IEEE Transactions on, 37 (4), pp. 513 -519, 2009.
Jahresbericht der Deutschen Mathematiker-Vereinigung Bd. 111, 2009.
Journal of Computational Physics, 228 (5), pp. 1573 - 1590, 2009.
A unified framework for the construction of one-step finite-volume and discontinuous Galerkin schemes on unstructured meshes Journal Article
J. Comput. Phys. , 227 , pp. 8209-8253, 2008.