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Simulating Turbulence Using the Astrophysical Discontinuous Galerkin Code TENET [article]

Andreas Bauer, Kevin Schaal, Volker Springel, Praveen Chandrashekar, Rüdiger Pakmor, Christian Klingenberg
2016 arXiv   pre-print
Here, we introduce our new astrophysical DG code TENET designed for applications in cosmology, and discuss our first results for 3D simulations of subsonic turbulence.  ...  In astrophysics, the two main methods traditionally in use for solving the Euler equations of ideal fluid dynamics are smoothed particle hydrodynamics and finite volume discretization on a stationary mesh  ...  The authors gratefully acknowledge the support of the Klaus Tschira Foundation.  ... 
arXiv:1602.09079v1 fatcat:wzsivuavozeffoazoifrm5qcwe

Simulating Turbulence Using the Astrophysical Discontinuous Galerkin Code TENET [chapter]

Andreas Bauer, Kevin Schaal, Volker Springel, Praveen Chandrashekar, Rüdiger Pakmor, Christian Klingenberg
2016 Lecture Notes in Computational Science and Engineering  
Here, we introduce our new astrophysical DG code TENET designed for applications in cosmology, and discuss our first results for 3D simulations of subsonic turbulence.  ...  In astrophysics, the two main methods traditionally in use for solving the Euler equations of ideal fluid dynamics are smoothed particle hydrodynamics and finite volume discretization on a stationary mesh  ...  The authors gratefully acknowledge the support of the Klaus Tschira Foundation. KS and AB acknowledge support by the IMPRS for Astronomy and Cosmic Physics at the Heidelberg University.  ... 
doi:10.1007/978-3-319-40528-5_17 fatcat:lcwj2ohzmba6la5cbuuwcj4ita

EXAMAG: Towards Exascale Simulations of the Magnetic Universe [chapter]

Volker Springel, Christian Klingenberg, Rüdiger Pakmor, Thomas Guillet, Praveen Chandrashekar
2020 Lecture Notes in Computational Science and Engineering  
We have also worked on developing new, powerful high-order discontinuous Galerkin schemes for astrophysics, on more efficient solvers for gravity, and on improvements of the accuracy of the treatment of  ...  In the EXAMAG project, we have worked on improving and applying the astrophysical moving-mesh code AREPO with the goal to extend its range of applicability.  ...  Acknowledgments The authors would like to thank the large user bases of the GADGET-2, GADGET-3, and AREPO codes for their continued use of these codes in a large number of scientific applications, thereby  ... 
doi:10.1007/978-3-030-47956-5_12 fatcat:nbv54h27a5a3ll62emrej6nmfq

High-order Discontinuous Galerkin hydrodynamics with sub-cell shock capturing on GPUs [article]

Miha Cernetic, Volker Springel, Thomas Guillet, Rüdiger Pakmor
2022 arXiv   pre-print
Here we consider the performance and accuracy benefits of Discontinuous Galerkin (DG) methods, which offer a particularly straightforward approach to reach extremely high order.  ...  However, a traditional weakness of this method lies in the treatment of physical discontinuities such as shocks.  ...  ACKNOWLEDGEMENTS The authors acknowledge helpful discussions with numerous students at MPA and hail the printf(*) debugging technique.  ... 
arXiv:2208.11131v1 fatcat:qlpqz4ue7zaw7hsbtepapsa6gi

Astrophysical hydrodynamics with a high-order discontinuous Galerkin scheme and adaptive mesh refinement

Kevin Schaal, Andreas Bauer, Praveen Chandrashekar, Rüdiger Pakmor, Christian Klingenberg, Volker Springel
2015 Monthly notices of the Royal Astronomical Society  
Here we introduce the new adaptive mesh refinement (AMR) code TENET, which employs a high order discontinuous Galerkin (DG) scheme for hydrodynamics.  ...  Solving the Euler equations of ideal hydrodynamics as accurately and efficiently as possible is a key requirement in many astrophysical simulations.  ...  Main simulation loop Our new TENET code has been developed as an extension of the AREPO code (Springel 2010) , allowing us to reuse AREPO's inputoutput routines, domain decomposition, basic tree infrastructure  ... 
doi:10.1093/mnras/stv1859 fatcat:ourrwhzte5cqnjl37s3cp7vxdi

High-order Magnetohydrodynamics for Astrophysics with an Adaptive Mesh Refinement Discontinuous Galerkin Scheme

Thomas Guillet, Rüdiger Pakmor, Volker Springel, Praveen Chandrashekar, Christian Klingenberg
2019 Monthly notices of the Royal Astronomical Society  
In this paper, we describe and test our implementation of a discontinuous Galerkin (DG) scheme for ideal magnetohydrodynamics in the AREPO-DG code.  ...  We discuss the prospects of our implementation, and DG methods in general, for scalable astrophysical simulations.  ...  The authors gratefully acknowledge the support of the Klaus Tschira Foundation.  ... 
doi:10.1093/mnras/stz314 fatcat:6g4znbcpgre2jkzn2af6jqt344

Magnetic Field Amplification in Galaxy Clusters and Its Simulation

J. Donnert, F. Vazza, M. Brüggen, J. ZuHone
2018 Space Science Reviews  
This process is intimately connected to the properties of turbulence and the microphysics of the intra-cluster medium.  ...  The accurate simulation of magnetic field amplification in clusters still poses a serious challenge for simulations of cosmological structure formation.  ...  Acknowledgements The authors would like to thank the referee, D.C. Ellison, for valuable comments that improved the review. The authors thank K. Dolag for discussions on galactic dynamos.  ... 
doi:10.1007/s11214-018-0556-8 fatcat:t3yu4j2r6jdjvboplxles7j44u

Modelling of stellar convection

Friedrich Kupka, Herbert J. Muthsam
2017 Living Reviews in Computational Astrophysics  
A list of codes allows assessing the state of the art.  ...  The review considers the modelling process for stellar convection rather than specific astrophysical results. For achieving reasonable depth and length we deal with hydrodynamics only, omitting MHD.  ...  Zaussinger for performing parts of these numerical simulations with the ANTARES code. We furthermore are grateful to Dr. R. Baldauf, Dr. O. Koch, and Dr. N. Stadlmajer for discussions.  ... 
doi:10.1007/s41115-017-0001-9 pmid:30652122 pmcid:PMC6319542 fatcat:luyjhgqip5eo7fv4zku2ty5n3u

Grand Challenges in Protoplanetary Disc Modelling

Thomas J. Haworth, John D. Ilee, Duncan H. Forgan, Stefano Facchini, Daniel J. Price, Dominika M. Boneberg, Richard A. Booth, Cathie J. Clarke, Jean-François Gonzalez, Mark A. Hutchison, Inga Kamp, Guillaume Laibe (+9 others)
2016 Publications Astronomical Society of Australia  
This paper reports on the discussions collectively concerned with the multi-physics modelling of protoplanetary discs, including the self-consistent calculation of gas and dust dynamics, radiative transfer  ...  The Protoplanetary Discussions conference—held in Edinburgh, UK, from 2016 March 7th–11th—included several open sessions led by participants.  ...  We would like to acknowledge the Protoplanetary Discussions conference, including the members of the local and scientific organising committees.  ... 
doi:10.1017/pasa.2016.45 fatcat:3ue3pudqtfbdvg7yrxacscvyu4

WENO–WOMBAT: Scalable Fifth-order Constrained-transport Magnetohydrodynamics for Astrophysical Applications

J. M. F. Donnert, H. Jang, P. Mendygral, G. Brunetti, D. Ryu, T. W. Jones
2019 Astrophysical Journal Supplement Series  
Due to increase in computing power, high-order Eulerian schemes will likely become instrumental for the simulations of turbulence and magnetic field amplification in astrophysical fluids in the next years  ...  We also establish the performance characteristics of the solver in the WOMBAT framework. Our implementation fully vectorizes using flattened arrays in thread-local memory.  ...  Deul for support towards the end of the project. The authors thank J. Delgado for comments on the manuscript. We used Julia 6 and PGFPlots for post-processing and graphs shown in this document.  ... 
doi:10.3847/1538-4365/ab09fb fatcat:pai6ofdc6jhixnnvow3jucq4hu

Shocks in the Illustris Universe and Discontinuous Galerkin Hydrodynamics [article]

Kevin Schaal
2016
We present the implementation of a shock finding algorithm for the moving-mesh code AREPO, and use it to an analyse shocks in Illustris, a cosmological stateof-the-art simulation of galaxy formation.  ...  Abstract The study of highly-nonlinear astrophysical systems and processes increasingly relies on simulation techniques.  ...  Discontinuous Galerkin method The discontinuous Galerkin method belongs to the class of finite element methods, which are used for solving a vast range of partial differential equations.  ... 
doi:10.11588/heidok.00021571 fatcat:zruyzcvcjvah7d3nrminekfkr4