An Exascale aware and Un-crashable Space-Time-Adaptive Discontinuous Spectral Element Solver for Non-Linear Conservation Laws

Projektinformationen

Extreme

ID Finanzhilfevereinbarung: 714487

DOI 10.3030/714487

Abgeschlossenes Projekt

EK-Unterschriftsdatum 21 November 2016

Startdatum 1 April 2017

Enddatum 31 März 2022

Finanziert unter

• EXCELLENT SCIENCE - European Research Council (ERC)

Gesamtkosten € 1 495 875,00

EU-Beitrag € 1 495 875,00

Koordiniert durch

UNIVERSITAT ZU KOLN
Germany

Ziel

"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."

Wissenschaftliches Gebiet

• natural sciences › physical sciences › thermodynamics
• engineering and technology › electrical engineering, electronic engineering, information engineering › electronic engineering › computer hardware › supercomputers
• natural sciences › mathematics › applied mathematics › numerical analysis

Programm/Programme

• H2020-EU.1.1. - EXCELLENT SCIENCE - European Research Council (ERC) Main Programme

Thema/Themen

• ERC-2016-STG - ERC Starting Grant

Aufforderung zur Vorschlagseinreichung

ERC-2016-STG

Finanzierungsplan

ERC-STG - Starting Grant

Gastgebende Einrichtung

UNIVERSITAT ZU KOLN

• Netto-EU-Beitrag: € 1 495 875,00
• Adresse: ALBERTUS MAGNUS PLATZ ; 50931 Koln ; Deutschland
• Region: Nordrhein-Westfalen › Köln › Köln, Kreisfreie Stadt
• Aktivitätstyp: Higher or Secondary Education Establishments
• Gesamtkosten: € 1 495 875,00

Begünstigte (1)

UNIVERSITAT ZU KOLN

Deutschland

• Netto-EU-Beitrag: € 1 495 875,00
• Adresse: ALBERTUS MAGNUS PLATZ ; 50931 Koln
• Region: Nordrhein-Westfalen › Köln › Köln, Kreisfreie Stadt
• Aktivitätstyp: Higher or Secondary Education Establishments
• Gesamtkosten: € 1 495 875,00