Explore the words cloud of the Extreme project. It provides you a very rough idea of what is the project "Extreme" about.
The following table provides information about the project.
Coordinator |
UNIVERSITAET ZU KOELN
Organization address contact info |
Coordinator Country | Germany [DE] |
Total cost | 1˙495˙875 € |
EC max contribution | 1˙495˙875 € (100%) |
Programme |
1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC)) |
Code Call | ERC-2016-STG |
Funding Scheme | ERC-STG |
Starting year | 2017 |
Duration (year-month-day) | from 2017-04-01 to 2022-03-31 |
Take a look of project's partnership.
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1 | UNIVERSITAET ZU KOELN | DE (KOELN) | coordinator | 1˙495˙875.00 |
'The dynamics of fluids and plasma is described by non-linear conservation laws. Transient behaviour on multiple scales involving turbulence and shocks is intrinsic to these problems. Due to their low dispersion and dissipation errors, adaptive high order numerical methods currently receive growing attention in academia and industry and form an emerging key technology. The potential benefits are massively improved computational efficiency and drastic reduction in memory consumption. Both benefits can be easily justified theoretically, in particular for a space-time adaptive high order method. However, due to high algorithmic complexity, the theoretical performance is difficult to sustain on massively parallel supercomputers. The first challenge that we will address in this project is to design novel, exascale aware, space-time adaptive algorithms and implement them in an open source solver that will scale on over 10^6 computing cores. Another indispensable property for the successful industrialisation of space-time adaptive high order methods is robustness. Robustness, i.e. an 'un-crashable' solver, which still retains all the positive benefits of the high order scheme is the 'holy grail' of the current research on these methods. This requires new mathematical concepts. The second challenge we will address here is to construct a provable un-crashable, space-time adaptive, high order solver without excessive artificial dissipation. Our mathematical key to achieve robustness is not intuitive at first sight: skew-symmetry. We will show that a specific skew-symmetric formulation guided by careful mathematics will allow us to design methods that are consistent with the second law of thermodynamics. This physical consistency is important as it will enable us to construct a new class of un-crashable space-time adaptive high order methods. We will demonstrate the supremacy of this efficient and robust solver in complex large scale science and engineering applications.'
year | authors and title | journal | last update |
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2019 |
Andrew R. Winters,Christof Czernik,Moritz B. Schily,Gregor J. Gassner Entropy stable numerical approximations for the isothermal and polytropic Euler equations published pages: , ISSN: 1572-9125, DOI: 10.1007/s10543-019-00789-w |
BIT Numerical Mathematics | 2020-02-04 |
2019 |
David A. Kopriva, Florian J. Hindenlang, Thomas Bolemann, Gregor J. Gassner Free-Stream Preservation for Curved Geometrically Non-conforming Discontinuous Galerkin Spectral Elements published pages: 1389-1408, ISSN: 0885-7474, DOI: 10.1007/s10915-018-00897-9 |
Journal of Scientific Computing 79/3 | 2020-02-04 |
2019 |
Philipp Birken, Gregor J. Gassner, Lea M. Versbach Subcell finite volume multigrid preconditioning for high-order discontinuous Galerkin methods published pages: 353-361, ISSN: 1061-8562, DOI: 10.1080/10618562.2019.1667983 |
International Journal of Computational Fluid Dynamics 33/9 | 2020-02-04 |
2018 |
Gregor J. Gassner, Andrew R. Winters, Florian J. Hindenlang, David A. Kopriva The BR1 Scheme is Stable for the Compressible Navier–Stokes Equations published pages: 154-200, ISSN: 0885-7474, DOI: 10.1007/s10915-018-0702-1 |
Journal of Scientific Computing 77/1 | 2020-02-04 |
2018 |
Dominik Derigs, Gregor J. Gassner, Stefanie Walch, Andrew R. Winters Entropy Stable Finite Volume Approximations for Ideal Magnetohydrodynamics published pages: 153-219, ISSN: 0012-0456, DOI: 10.1365/s13291-018-0178-9 |
Jahresbericht der Deutschen Mathematiker-Vereinigung 120/3 | 2020-02-04 |
2019 |
Lucas Friedrich, Gero Schnücke, Andrew R. Winters, David C. Del Rey Fernández, Gregor J. Gassner, Mark H. Carpenter Entropy Stable Space–Time Discontinuous Galerkin Schemes with Summation-by-Parts Property for Hyperbolic Conservation Laws published pages: 175-222, ISSN: 0885-7474, DOI: 10.1007/s10915-019-00933-2 |
Journal of Scientific Computing 80/1 | 2020-02-04 |
2018 |
Niklas Wintermeyer, Andrew R. Winters, Gregor J. Gassner, Timothy Warburton An entropy stable discontinuous Galerkin method for the shallow water equations on curvilinear meshes with wet/dry fronts accelerated by GPUs published pages: 447-480, ISSN: 0021-9991, DOI: 10.1016/j.jcp.2018.08.038 |
Journal of Computational Physics 375 | 2019-07-18 |
2017 |
David Flad, Gregor Gassner On the use of kinetic energy preserving DG-schemes for large eddy simulation published pages: 782-795, ISSN: 0021-9991, DOI: 10.1016/j.jcp.2017.09.004 |
Journal of Computational Physics 350 | 2019-07-18 |
2018 |
Marvin Bohm, Andrew R. Winters, Gregor J. Gassner, Dominik Derigs, Florian Hindenlang, Joachim Saur An entropy stable nodal discontinuous Galerkin method for the resistive MHD equations. Part I: Theory and numerical verification published pages: , ISSN: 0021-9991, DOI: 10.1016/j.jcp.2018.06.027 |
Journal of Computational Physics | 2019-07-18 |
2018 |
Andrew R. Winters, Rodrigo C. Moura, Gianmarco Mengaldo, Gregor J. Gassner, Stefanie Walch, Joaquim Peiro, Spencer J. Sherwin A comparative study on polynomial dealiasing and split form discontinuous Galerkin schemes for under-resolved turbulence computations published pages: 1-21, ISSN: 0021-9991, DOI: 10.1016/j.jcp.2018.06.016 |
Journal of Computational Physics 372 | 2019-07-18 |
2018 |
Dominik Derigs, Andrew R. Winters, Gregor J. Gassner, Stefanie Walch, Marvin Bohm Ideal GLM-MHD: About the entropy consistent nine-wave magnetic field divergence diminishing ideal magnetohydrodynamics equations published pages: 420-467, ISSN: 0021-9991, DOI: 10.1016/j.jcp.2018.03.002 |
Journal of Computational Physics 364 | 2019-07-18 |
2018 |
Gregor J. Gassner, Andrew R. Winters, Florian J. Hindenlang, David A. Kopriva Correction to: The BR1 Scheme is Stable for the Compressible Navier–Stokes Equations published pages: 201-203, ISSN: 0885-7474, DOI: 10.1007/s10915-018-0758-y |
Journal of Scientific Computing 77/1 | 2019-07-18 |
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