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@def title = "Trixi Framework" @def maxtoclevel=2

Trixi Framework

The Trixi framework is a collaborative scientific effort to provide open source tools for adaptive high-order numerical simulations of hyperbolic PDEs in Julia. Besides the core algorithms, the framework also includes mesh and visualization tools. Moreover, it includes utilities such as Julia wrappers of mature libraries written in other programming languages.

This page gives an overview of the different activities that, together, constitute the Trixi framework on GitHub.

\toc

Adaptive high-order numerical simulations of hyperbolic PDEs

  • Trixi.jl

    Adaptive high-order numerical simulations of hyperbolic PDEs in Julia

  • Trixi2Vtk.jl

    Convert output files generated with Trixi.jl to VTK

  • TrixiShallowWater.jl

    High-order numerical simulations for shallow water applications

  • TrixiAtmo.jl

    Simulation package for atmospheric models based on Trixi.jl

  • libtrixi

    Use Trixi.jl from C/C++/Fortran

  • SmartShockFinder.jl

    Create troubled cell indicators for Trixi.jl using artificial neural networks

Mesh generation

  • HOHQMesh.jl

    HOHQMesh.jl is a Julia wrapper for the HOHQMesh mesh generator, which allows to produce curved quadrilateral and hexahedral meshes for high-order numerical simulations.

  • HOHQMesh

    High Order Hex-Quad Mesh (HOHQMesh) package to automatically generate all-quadrilateral meshes with high order boundary information.

  • Smesh.jl

    Smesh.jl is a Julia wrapper package for smesh, a simple Fortran package for generating and handling unstructured triangular and polygonal meshes.

  • smesh

    A simple Fortran package for generating and handling unstructured triangular and polygonal meshes.

Particle-based multiphysics simulations

Additional packages

  • P4est.jl

    P4est.jl is lightweight Julia wrapper for the p4est C library.

  • KROME.jl

    KROME.jl is a lightweight Julia wrapper for KROME, a Fortran library for including chemistry and microphysics in astrophysics simulations.

  • JuliaVTK/ReadVTK.jl

    Julia package for reading VTK XML files (maintained by the Trixi framework authors).

  • TrixiBottomTopography.jl

    Approximating real world data for bottom topographies

Downstream projects

There exist several downstream projects that build on the Trixi framework. Some of them are listed below. If you have a project that you would like to see listed here, please open an issue.

  • BloodFlowTrixi.jl

    BloodFlowTrixi.jl implements one-dimensional (1D) and two-dimensional (2D) blood flow models for arterial circulation.

  • TrixiCUDA.jl

    TrixiCUDA.jl offers CUDA acceleration for solving hyperbolic PDEs.

  • TrixiLW.jl

    An implementation of the Lax-Wendroff flux reconstruction scheme for curvilinear meshes with adaptive mesh refinement and error based time stepping.

  • TrixiShockTube.jl

    A package for performing shock tube simulations with Trixi.jl.

Publications

The following publications make use of Trixi.jl or one of the other packages listed above. Author names of Trixi.jl's main developers are in italics.

2026

  • Jnini, Kiyani, Shukla, Urban, Daryakenari, Muller, Zeinhofer, Karniadakis, Curvature-Aware Optimization for High-Accuracy Physics-Informed Neural Networks, 2026.\ arXiv:2604.05230

  • Park, Chan, Entropy correction artificial viscosity for high order DG methods using multiple artificial viscosities, 2026.\ arXiv:2604.03158

  • Öffner, Pettersson, Winters, A high-order, structure preserving scheme for the stochastic Galerkin shallow water equations - unification and two-dimensional extension, 2026.\ arXiv:2604.01199 reproduce me!

  • Winters, Kopriva, Nordström, Numerical boundary flux functions that give provable bounds for nonlinear initial boundary value problems with open boundaries, Journal of Computational Physics (559) 114891, 2026.\ arXiv:2511.00545 doi:10.1016/j.jcp.2026.114891 reproduce me!

  • Babbar, Chen, Ranocha, Compact Runge-Kutta flux reconstruction methods with entropy and/or kinetic energy preserving fluxes, 2026.\ arXiv:2604.02125 reproduce me!

  • Doehring, Chan, Ranocha, Schlottke-Lakemper, Torrilhon, Gassner, Volume Term Adaptivity for Discontinuous Galerkin Schemes, 2026.\ arXiv:2603.24189 reproduce me!

  • Artiano, Ranocha, On Affordable High-Order Entropy-Conservative/Stable and Well-Balanced Methods for Nonconservative Hyperbolic Systems, 2026.\ arXiv:2603.18978 reproduce me!

  • Zhang, Redekop, Stoyanov, Farrell, Kim, Holleis, Gong, Keough, Choi, Taniguchi, Watanabe, Huber, Bleszynski Jayich, Lucas, Young, Imaging flat band electron hydrodynamics in biased bilayer graphene, 2026.\ arXiv:2603.11175

  • Van Fleet, Chan, On the choice of viscous discontinuous Galerkin discretization for entropy correction artificial viscosity methods, 2026.\ arXiv:2602.23210

  • Montoya, Rueda-Ramírez, Gassner, Entropy-stable discontinuous spectral-element methods for the spherical shallow water equations in covariant form, Journal of Computational Physics (555) 114782, 2026.\ arXiv:2509.08790 doi:10.1016/j.jcp.2026.114782 reproduce me!

  • Glaubitz, Iske, Lampert, Öffner, Why summation by parts is not enough, 2026.\ arXiv:2602.10786 reproduce me!

  • Careaga, Ersing, Koellermeier, Winters, Entropy analysis and entropy stable DG methods for the shallow water moment equations, 2026.\ arXiv:2602.06513 reproduce me!

  • Mattsson, Niemelä, Winters, Optimal boundary closures for diagonal-norm upwind SBP operators, 2026.\ arXiv:2602.05727

  • Ersing, Winters, A new class of entropy stable fluctuations for the discontinuous Galerkin method with application to the Saint-Venant-Exner model, 2026.\ arXiv:2601.09450 reproduce me!

  • Taylor, Chan, An Entropy Stable High-Order Discontinuous Galerkin Method on Cut Meshes, Journal of Computational Physics (548) 114551, 2026.\ arXiv:2412.13002 doi:10.1016/j.jcp.2025.114551 reproduce me!

  • Peyvan, Kumar, Karniadakis, Fusion-DeepONet: A data-efficient neural operator for geometry-dependent hypersonic and supersonic flows, Journal of Computational Physics (526) 114432, 2026.\ doi:10.1016/j.jcp.2025.114432

  • Neher, Faulhaber, Berger, Weißenfels, Gassner, Schlottke-Lakemper, Robust and efficient pre-processing techniques for particle-based methods including dynamic boundary generation, Computer Physics Communications (318) 109898, 2026.\ arXiv:2506.21206 doi:10.1016/j.cpc.2025.109898 reproduce me!

2025

  • Kwan, Chan, A robust first order meshfree method for time-dependent nonlinear conservation laws, In: Advances in Computational Science and Engineering, 2025.\ doi:10.3934/acse.2025021

  • Babbar, Ranocha, Compact Runge-Kutta Flux Reconstruction methods for non-conservative hyperbolic equations, 2025.\ arXiv:2512.08611 reproduce me!

  • Toscano, Chen, Karniadakis, ATHENA: Agentic Team for Hierarchical Evolutionary Numerical Algorithms, 2025.\ arXiv:2512.03476

  • Bleffert, Dreyer, Röhrig-Zöllner, A Discontinuous Galerkin Discretization for the Intrinsic Beam Model, In: Emerging Technologies in Computational Sciences for Industry, Sustainability and Innovation. M2P 2023, 2025.\ doi:10.1007/978-3-031-95709-3_18

  • Peyvan, Shukla, Karniadakis, H3PC: Hypersonic, high-order, high-performance code with adaptive mesh refinement and real chemistry, 2025.\ arXiv:2511.17551

  • Doehring, Christmann, Schlottke-Lakemper, Gassner, Torrilhon, Fourth-Order Paired-Explicit Runge-Kutta Methods, Computational Science and Engineering, Vol. 2, article number 1, 2025.\ arXiv:2408.05470 doi:10.1007/s44207-025-00005-4 reproduce me!

  • Bach, Rueda-Ramírez, Kopriva, Gassner, Mimetic Metrics for the DGSEM, Journal of Scientific Computing, Vol. 105, article number 57, 2025.\ arXiv:2410.14502 doi:10.1007/s10915-025-03082-x reproduce me!

  • Breit, Moyo, Öffner, Discontinuous Galerkin methods for the complete stochastic Euler equations, Journal of Computational Physics, (541) 114324, 2025.\ arXiv:2412.07613 doi:10.1016/j.jcp.2025.114324

  • Babbar, Chen, Compact Runge-Kutta Flux Reconstruction for Hyperbolic Conservation Laws with admissibility preservation, Journal of Scientific Computing, Volume 105, article number 91, November 2025.\ arXiv:2502.07517 doi:10.1007/s10915-025-03118-2

  • Lampert, Ranocha, Structure-preserving numerical methods for two nonlinear systems of dispersive wave equations, Computational Science and Engineering 2(2), 2025.\ arXiv:2402.16669 doi:10.1007/s44207-025-00006-3 reproduce me!

  • Song, Singh, Torrilhon, Cayci, Extraction of moment closures for strongly non-equilibrium flows via machine learning, 2025.\ arXiv:2511.00545

  • Babbar, Chandrashekar, Lax-Wendroff flux reconstruction for advection-diffusion equations with error-based time stepping, 2025,\ Lecture Notes in Computational Science and Engineering (LNCSE,volume 142), Spectral and High-Order Methods for Partial Differential Equations ICOSAHOM 2023, 157–173.\ arXiv:2402.12669 doi:10.1007/978-3-031-76988-7_7

  • Sánchez-Ramírez, Giordano, Extrae.jl: Julia bindings for the Extrae HPC Profiler, 2025.\ arXiv:2509.10311

  • Artiano, Knoth, Spichtinger, Ranocha, Structure-preserving high-order methods for the compressible Euler equations in potential temperature formulation for atmospheric flows, 2025.\ arXiv:2509.10311 reproduce me!

  • Christner, Chan, Entropy stable finite difference (ESFD) methods via entropy correction artificial viscosity (ECAV) and knapsack limiting (KL) techniques, 2025.\ arXiv:2508.21226

  • Thein, Ranocha, Computing Radially-Symmetric Solutions of the Ultra-Relativistic Euler Equations with Entropy-Stable Discontinuous Galerkin Methods, 2025.\ arXiv:2508.21427 reproduce me!

  • Doehring, Ranocha, Torrilhon, Paired Explicit Relaxation Runge-Kutta Methods: Entropy-Conservative and Entropy-Stable High-Order Optimized Multirate Time Integration, 2025.\ arXiv:2507.04991 reproduce me!

  • Babbar, Churavy, Schlottke-Lakemper, Ranocha, Automatic differentiation for Lax-Wendroff-type discretizations, 2025.\ arXiv:2506.11719 reproduce me!

  • Oblapenko, Torrilhon, Entropy-conservative high-order methods for high-enthalpy flows, 2025.\ arXiv:2403.16882 doi:10.1016/j.compfluid.2025.106640 reproduce me!

  • Song, Singh, Torrilhon, Non-equilibrium flow simulations based on Grad-14 and Grad-17 moment equations for polytropic gasess, 2025.\ doi:10.1063/5.0257491

  • Qu, Narayan, Chan, Entropy stable reduced order modeling of nonlinear conservation laws using discontinuous Galerkin methods, 2025.\ arXiv:2502.09381

  • Glaubitz, Ranocha, Winters, Schlottke-Lakemper, Öffner, Gassner, Generalized upwind summation-by-parts operators and their application to nodal discontinuous Galerkin methods, Journal of Computational Physics (529) 113841, 2025.\ arXiv:2406.14557 doi:10.1016/j.jcp.2025.113841 reproduce me!

  • Ersing, Goldberg, Winters, Entropy stable hydrostatic reconstruction schemes for shallow water systems, Journal of Computational Physics (527) 113802, 2025.\ arXiv:2406.14119 doi:10.1016/j.jcp.2025.113802 reproduce me!

  • Babbar, Chandrashekar, Multi-Derivative Runge-Kutta Flux Reconstruction for Hyperbolic Conservation Laws, Communications on Applied Mathematics and Computation, 2025.\ arXiv:2403.02141 doi:10.1007/s42967-024-00463-1

  • Chan An artificial viscosity approach to high order entropy stable discontinuous Galerkin methods, 2025.\ arXiv:2501.16529 doi:10.1016/j.jcp.2025.114380 reproduce me!

  • Neher, Faulhaber, Berger, Gassner, Schlottke-Lakemper TrixiParticles.jl: Particle-based multiphysics simulation in Julia, Journal of Open Source Software, 10(105), 7044, 2025.\ doi:10.21105/joss.07044

  • Babbar, Chandrashekar, Lax-Wendroff Flux Reconstruction on adaptive curvilinear meshes with error based time stepping for hyperbolic conservation laws, Journal of Computational Physics (522), 113622, 2025.\ arXiv:2402.11926 doi:10.1016/j.jcp.2024.113622

  • Ranocha, Winters, Schlottke-Lakemper, Öffner, Glaubitz, Gassner, On the robustness of high-order upwind summation-by-parts methods for nonlinear conservation laws, Journal of Computational Physics (520) 113471, 2025.\ arXiv:2311.13888 doi:10.1016/j.jcp.2024.113471 reproduce me!

2024

  • Kopriva, Winters, Schlottke-Lakemper, Schoonover, Ranocha, HOHQMesh: An all quadrilateral/hexahedral unstructured mesh generator for high order elements, Journal of Open Source Software, 9(104), 7476, 2024.\ doi:10.21105/joss.07476

  • Oblapenko, Tarnovskiy, Ertl, Torrilhon, Entropy-stable fluxes for high-order Discontinuous Galerkin simulations of high-enthalpy flows, 2024.\ arXiv:2411.13168 doi:10.1007/978-3-032-11115-9_36 reproduce me!

  • Bender, Öffner, Entropy-Conservative Discontinuous Galerkin Methods for the Shallow Water Equations with Uncertainty, 2024.\ doi:10.1007/s42967-024-00369-y

  • Doehring, Schlottke-Lakemper, Gassner, Torrilhon, Multirate Time-Integration based on Dynamic ODE Partitioning through Adaptively Refined Meshes for Compressible Fluid Dynamics, 2024.\ arXiv:2403.05144 doi:10.1016/j.jcp.2024.113223 reproduce me!

  • Babbar, Kenettinkara, Chandrashekar, Admissibility preserving subcell limiter for Lax-Wendroff flux reconstruction, Journal of Scientific Computing, Vol. 99, Issue 2, May 2024.\ arXiv:2305.10781 doi:10.1007/s10915-024-02482-9

  • Rueda-Ramírez, Sikstel, Gassner, An Entropy-Stable Discontinuous Galerkin Discretization of the Ideal Multi-Ion Magnetohydrodynamics System, Journal of Computational Physics, Volume 523, 113655, 2024. \ arXiv:2402.14615 doi:10.1016/j.jcp.2024.113655 reproduce me!

  • Doehring, Gassner, Torrilhon, Many-Stage Optimal Stabilized Runge-Kutta Methods for Hyperbolic Partial Differential Equations, Journal of Scientific Computing, Volume 99, article number 28, 2024.\ arXiv:2402.12140 doi:10.1007/s10915-024-02478-5

2023

  • Ovadia, Oommen, Kahana, Peyvan, Turkel, Karniadakis, Real-time Inference and Extrapolation via a Diffusion-inspired Temporal Transformer Operator (DiTTO), 2023.\ arXiv:2307.09072

  • Ranocha, Schütz, Multiderivative time integration methods preserving nonlinear functionals via relaxation, 2023.\ arXiv:2311.03883 doi:10.2140/camcos.2024.19.27 reproduce me!

  • Ranocha, Giesselmann, Stability of step size control based on a posteriori error estimates, 2023.\ arXiv:2307.12677 reproduce me!

  • Chan, Shukla, Wu, Liu, Nalluri, High order entropy stable schemes for the quasi-one-dimensional shallow water and compressible Euler equations, 2023.\ arXiv:2307.12089

  • Ersing, Winters, An entropy stable discontinuous Galerkin method for the two-layer shallow water equations on curvilinear meshes, 2023.\ arXiv:2306.12699 doi:10.1007/s10915-024-02451-2 reproduce me!

  • Rueda-Ramírez, Bolm, Kuzmin, Gassner, Monolithic Convex Limiting for Legendre–Gauss–Lobatto Discontinuous Galerkin Spectral Element Methods, 2023.\ arXiv:2303.00374 doi:10.1007/s42967-023-00321-6 reproduce me!

  • Ranocha, A discontinuous Galerkin discretization of elliptic problems with improved convergence properties using summation by parts operators, 2023.\ arXiv:2302.12488 doi:10.1016/j.jcp.2023.112367 reproduce me!

  • Ranocha, Winters, Castro, Dalcin, Schlottke-Lakemper, Gassner, Parsani, On error-based step size control for discontinuous Galerkin methods for compressible fluid dynamics, 2023.\ arXiv:2209.07037 doi:10.1007/s42967-023-00264-y reproduce me!

  • Ranocha, Schlottke-Lakemper, Chan, Rueda-Ramírez, Winters, Hindenlang, Gassner, Efficient implementation of modern entropy stable and kinetic energy preserving discontinuous Galerkin methods for conservation laws, ACM Transactions on Mathematical Software, 2023.\ arXiv:2112.10517 doi:10.1145/3625559 reproduce me!

2022

  • Chan, Ranocha, Rueda-Ramírez, Gassner, Warburton, On the entropy projection and the robustness of high order entropy stable discontinuous Galerkin schemes for under-resolved flows, 2022.\ arXiv:2203.10238 doi:10.3389/fphy.2022.898028 reproduce me!

  • Rueda-Ramírez, Pazner, Gassner, Subcell limiting strategies for discontinuous Galerkin spectral element methods, 2022.\ arXiv:2202.00576 doi:10.1016/j.compfluid.2022.105627

  • Lukáčová-Medvid’ová, Öffner, Convergence of Discontinuous Galerkin Schemes for the Euler Equations via Dissipative Weak Solutions, 2022.\ arXiv:2202.10043 doi:10.1016/j.amc.2022.127508

  • Ranocha, A Note on Numerical Fluxes Conserving Harten's Entropies for the Compressible Euler Equations, 2022.\ arXiv:2201.03946 doi:10.1016/j.jcp.2022.111236 reproduce me!

  • Ranocha, Schlottke-Lakemper, Winters, Faulhaber, Chan, Gassner, Adaptive numerical simulations with Trixi.jl: A case study of Julia for scientific computing, JuliaCon Proceedings, 77, 2022.\ arXiv:2108.06476 doi:10.21105/jcon.00077 reproduce me!

  • Gassner, Svärd, Hindenlang, Stability Issues of Entropy-Stable and/or Split-form High-order Schemes, 2022.\ arXiv:2007.09026 doi:10.1007/s10915-021-01720-8

2021

  • Singh, Chandrashekar, On a linear stability issue of split form schemes for compressible flows, 2021.\ arXiv:2104.14941

  • Ranocha, Gassner, Preventing pressure oscillations does not fix local linear stability issues of entropy-based split-form high-order schemes, Communications on Applied Mathematics and Computation, 2021.\ arXiv:2009.13139 doi:10.1007/s42967-021-00148-z reproduce me!

  • Schlottke-Lakemper, Winters, Ranocha, Gassner, A purely hyperbolic discontinuous Galerkin approach for self-gravitating gas dynamics, Journal of Computational Physics (442), 110467, 2021.\ arXiv:2008.10593 doi:10.1016/j.jcp.2021.110467 reproduce me!

Talks

2025

  • A High-Order GPU-Accelerated Dynamical Core Based on Discontinuous Galerkin Methods\ Geihe, Schlottke-Lakemper\ 16th June 2025, PASC 2025, Brugg, Switzerland.

  • Sustainable research software for accessible high-performance computing\ Schlottke-Lakemper\ 27th May 2025, WSSP 2025, Stuttgart, Germany.

  • Using TRIXI.JL for Adaptively Coupling Multiphysics Problems\ Candelaresi\ 7th March 2025, SIAM CSE 2025, Fort Worth, Texas, USA.

  • Stabilized High-Order Multirate Time-Integration for Multiphysics via Paired-Explicit Runge-Kutta Methods\ Doehring\ 5th March 2025, SIAM CSE 2025, Fort Worth, Texas, USA.

  • Efficient Implementation of High Order Entropy Stable Methods for Computational Fluid Dynamics\ Chan\ 25th February 2025, Energy HPC Conference, Houston, Texas.

2024

  • Solving plasma problems using adaptive multiphysics coupling\ Candelaresi\ 4th December 2024, 19th MHD Days, Potsdam , Gremany

  • Modern discontinuous Galerkin methods for atmospheric physics\ Ranocha\ 8th October 2024, Mathematics of the Weather, Bad Orb, Germany

  • Adaptive mesh refinement in Earth-system modeling: first steps\ Geihe\ 8th October 2024, Mathematics of the Weather, Bad Orb, Germany

  • libtrixi: serving legacy codes in earth system modeling with fresh Julia CFD\ Geihe\ 12th July 2024, JuliaCon, Eindhoven, The Netherlands\ slides & reproducibility repo

  • Towards Aerodynamic Simulations in Julia with Trixi.jl\ Doehring\ 10th July 2024, JuliaCon, Eindhoven, The Netherlands

  • Non-intrusive Multirate Time-Integration for High-Order accurate Compressible Fluid Dynamics with Trixi.jl\ Doehring\ 2nd July 2024, PDESoft 2024, Cambridge, UK

  • Multirate Time-Integration based on Dynamic ODE Partitioning through Adaptively Refined Meshes for Convection-Dominated Flows\ Doehring\ 23rd July 2024, WCCM 2024, Vancouver, BC, CA

  • Adaptively Coupled Multiphysics Simulations with Trixi.jl\ Candelaresi\ 5th June 2024, PASC 2024, Zurich, Switzerland

2023

  • Challenges of sustainable research software engineering in Trixi.jl\ Schlottke-Lakemper\ 27th October 2023, MBD Colloquium, Aachen, Germany

  • Julia for scientific high-performance computing: opportunities and challenges\ Schlottke-Lakemper\ 6th October 2023, Ferrite.jl User & Developer Conference, Bochum, Germany

  • Scaling Trixi.jl to more than 10,000 cores using MPI\ Schlottke-Lakemper, Ranocha\ 27th July 2023, JuliaCon 2023, Cambridge, US

  • Massively Parallel Computational Fluid Dynamics with Julia and Trixi.jl\ Schlottke-Lakemper\ 28th June 2023, PASC Conference, Davos, Switzerland

  • Research Software Engineering for Sustainable Scientific Computing\ Schlottke-Lakemper\ 30th January 2023, SSD Seminar Series, Aachen, Germany

  • Trixi.jl: High-Order Numerical Simulations of Conservation Laws in Julia\ Schlottke-Lakemper\ 19th January 2023, SNuBIC Seminar\ tutorials & notebooks

2022

  • Robust and efficient high-performance computational fluid dynamics enabled by modern numerical methods and technologies\ Ranocha\ 3rd November 2022, MUSEN Colloquium, TU Braunschweig, Germany

  • Reproducibility as a service: collaborative scientific computing with Julia\ Schlottke-Lakemper, Ranocha\ 27th October 2022, MaRDI Workshop for Scientific Computing, Münster, Germany

  • From Mesh Generation to Adaptive Simulation: A Journey in Julia\ Winters\ 27th July 2022, JuliaCon 2022\ recorded talk on YouTube | presentation & code

  • Running Julia code in parallel with MPI: Lessons learned\ Christmann, Neher, Schlottke-Lakemper\ 26th July 2022, Julia for HPC Minisymposium, JuliaCon 2022\ recorded talk on YouTube | presentation

  • Extensible Computational Fluid Dynamics in Julia with Trixi.jl\ Schlottke-Lakemper, Ranocha, Gassner\ 25th February 2022, SIAM Conference on Parallel Processing for Scientific Computing, Seattle, US

2021

  • Research software development with Julia\ Schlottke-Lakemper, Ranocha\ 27th September 2021, NFDI4Ing Conference 2021

  • Adaptive high-order numerical simulations with Trixi.jl\ Schlottke-Lakemper, Ranocha\ 9th September 2021, CliMA Seminar, California Institute of Technology

  • Adaptive and extendable numerical simulations with Trixi.jl\ Schlottke-Lakemper, Ranocha\ 30th July 2021, JuliaCon 2021\ presentation & notebooks | recorded talk on YouTube

  • Trixi.jl: High-Order Numerical Simulations of Hyperbolic PDEs in Julia\ Ranocha, Schlottke-Lakemper, Winters\ 14th July 2021, ICOSAHOM 2021\ tutorials & notebooks

  • Introduction to Julia and Trixi, a numerical simulation framework for hyperbolic PDEs\ Ranocha\ 27th April 2021, Applied Mathematics Seminar, University of Münster\ presentation

  • Purely hyperbolic self-gravitating flow simulations in Julia\ Schlottke-Lakemper, Winters, Ranocha, Gassner\ 15th March 2021, GAMM Annual Meeting 2021

  • Julia for adaptive high-order multi-physics simulations\ Schlottke-Lakemper\ 27th January 2021, Numerical Analysis Seminar, Lund University\ presentation & notebooks

Outreach

Google Summer of Code 2024

Trixi.jl participated in the Google Summer of Code 2024, establishing integration with Enzyme.jl for automatic differentiation. This project was mentored by Michael Schlottke-Lakemper and Hendrik Ranocha. Here you can find the report from our contributor Junyi Xu.

Google Summer of Code 2023

Trixi.jl participated in the Google Summer of Code 2023, marking its initial steps towards running on GPUs. This project was mentored by Hendrik Ranocha and Michael Schlottke-Lakemper. Here you can find the report from our contributor Huiyu Xie.

Authors

Michael Schlottke-Lakemper (University of Augsburg, Germany), Gregor Gassner (University of Cologne, Germany), Hendrik Ranocha (University of Hamburg, Germany), Andrew Winters (Linköping University, Sweden), Jesse Chan (UT Austin, US), and Andrés Rueda-Ramírez (Polytechnic University of Madrid (UPM), Spain) are the principal developers of Trixi.jl. David A. Kopriva (Florida State University, US) is the principal developer of HOHQMesh and HOHQMesh.jl. For a full list of authors, please check out the respective packages.

Get in touch!

There are a number of ways to reach out to us:

  • Meet us on Slack
  • Create an issue in one of the repositories listed on this page
  • Get in touch with one of the Trixi Authors

Acknowledgments

<div style="width: 100%; text-align: center; font-size: 0;">
  <div><!--
    BMBF     --><img src="https://github.com/trixi-framework/Trixi.jl/assets/3637659/f59af636-3098-4be6-bf80-c6be3f17cbc6" style="height: 120px; width: auto"><!--
    DFG      --><img src="https://github.com/trixi-framework/Trixi.jl/assets/3637659/e67b9ed3-7699-466a-bdaf-2ba070a29a8e" style="height: 120px; width: auto"><!--
    -->
  </div>
  <div><!--
    SRC      --><img src="https://github.com/trixi-framework/Trixi.jl/assets/3637659/48f9da06-6f7a-4586-b23e-739bee3901c0" style="height: 120px; width: auto"><!--
    ERC      --><img src="https://github.com/trixi-framework/Trixi.jl/assets/3637659/9371e7e4-3491-4433-ac5f-b3bfb215f5ca" style="height: 120px; width: auto"><!--
    -->
  </div>
  <div><!--
    NSF      --><img src="https://github.com/trixi-framework/Trixi.jl/assets/3637659/5325103c-ae81-4747-b87c-c6e4a1b1d7a8" style="height: 120px; width: auto"><!--
    DUBS     --><img src="https://github.com/trixi-framework/Trixi.jl/assets/3637659/bb021e6e-42e6-4fe1-a414-c847402e1937" style="height: 120px; width: auto"><!--
    -->
  </div>
  <div><!--
    NumFOCUS --><img src="https://github.com/trixi-framework/Trixi.jl/assets/3637659/8496ac9e-b586-475f-adb7-69bcfc415185" style="height: 120px; width: auto"><!--
    -->
  </div>
</div>

This project has benefited from funding by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through the following grants:

  • Excellence Strategy EXC 2044-390685587, Mathematics Münster: Dynamics-Geometry-Structure.
  • Research unit FOR 5409 "Structure-Preserving Numerical Methods for Bulk- and Interface Coupling of Heterogeneous Models (SNuBIC)" (project number 463312734).
  • Individual grant no. 528753982.

This project has benefited from funding from the European Research Council through the ERC Starting Grant "An Exascale aware and Un-crashable Space-Time-Adaptive Discontinuous Spectral Element Solver for Non-Linear Conservation Laws" (Extreme), ERC grant agreement no. 714487.

This project has benefited from funding from Vetenskapsrådet (VR, Swedish Research Council), Sweden through the VR Starting Grant "Shallow water flows including sediment transport and morphodynamics", VR grant agreement 2020-03642 VR.

This project has benefited from funding from the United States National Science Foundation (NSF) under awards DMS-1719818 and DMS-1943186.

This project has benefited from funding from the German Federal Ministry of Education and Research (BMBF) through the following grants:

  • Project grant "Adaptive earth system modeling with significantly reduced computation time for exascale supercomputers (ADAPTEX)" (funding id: 16ME0668K)
  • Project grant "ICON-DG" of the WarmWorld initiative (funding id: 01LK2315B).

This project has benefited from funding by the Daimler und Benz Stiftung (Daimler and Benz Foundation) through grant no. 32-10/22.

This project has benefited from funding by the Klaus Tschira Stiftung (Klaus Tschira Foundation) through the project grant "High-Fidelity Laboratory for the Simulation of Celestial Bodies with their Space Environment (HiFiLab)" (funding id: 00.014.2021).

This project has benefited from funding by the Spanish Ministry of Science, Innovation, and Universities through the "Beatriz Galindo" grant no. BG23-00062.

Trixi.jl is supported by NumFOCUS as an Affiliated Project.