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Title: Home · Trixi.jl

Open Graph Title: Home · Trixi.jl

X Title: Home · Trixi.jl

Description: Documentation for Trixi.jl.

Open Graph Description: Documentation for Trixi.jl.

X Description: Documentation for Trixi.jl.

Opengraph URL: https://trixi-framework.github.io/TrixiDocumentation/stable/

direct link

Domain: trixi-framework.github.io

titleHome · Trixi.jl
twitter:urlhttps://trixi-framework.github.io/TrixiDocumentation/stable/

Links:

Trixi.jlhttps://trixi-framework.github.io/TrixiDocumentation/dev
Homehttps://trixi-framework.github.io/TrixiDocumentation/dev
Installationhttps://trixi-framework.github.io/TrixiDocumentation/dev#Installation
Usagehttps://trixi-framework.github.io/TrixiDocumentation/dev#Usage
Referencinghttps://trixi-framework.github.io/TrixiDocumentation/dev#Referencing
Authorshttps://trixi-framework.github.io/TrixiDocumentation/dev#authors-index-md
License and contributinghttps://trixi-framework.github.io/TrixiDocumentation/dev#License-and-contributing
Participating research groupshttps://trixi-framework.github.io/TrixiDocumentation/dev#Participating-research-groups
Acknowledgmentshttps://trixi-framework.github.io/TrixiDocumentation/dev#Acknowledgments
Overviewhttps://trixi-framework.github.io/TrixiDocumentation/overview/
Visualizationhttps://trixi-framework.github.io/TrixiDocumentation/visualization/
Restart simulationhttps://trixi-framework.github.io/TrixiDocumentation/restart/
Introductionhttps://trixi-framework.github.io/TrixiDocumentation/tutorials/introduction/
1.1 Getting startedhttps://trixi-framework.github.io/TrixiDocumentation/tutorials/first_steps/getting_started/
1.2 Create your first setuphttps://trixi-framework.github.io/TrixiDocumentation/tutorials/first_steps/create_first_setup/
1.3 Changing Trixi.jl itselfhttps://trixi-framework.github.io/TrixiDocumentation/tutorials/first_steps/changing_trixi/
2 Behind the scenes of a simulation setuphttps://trixi-framework.github.io/TrixiDocumentation/tutorials/behind_the_scenes_simulation_setup/
3 Introduction to DG methodshttps://trixi-framework.github.io/TrixiDocumentation/tutorials/scalar_linear_advection_1d/
4 DGSEM with flux differencinghttps://trixi-framework.github.io/TrixiDocumentation/tutorials/DGSEM_FluxDiff/
5 Shock capturing with flux differencing and stage limiterhttps://trixi-framework.github.io/TrixiDocumentation/tutorials/shock_capturing/
6 Subcell limiting with the IDP Limiterhttps://trixi-framework.github.io/TrixiDocumentation/tutorials/subcell_shock_capturing/
7 Non-periodic boundarieshttps://trixi-framework.github.io/TrixiDocumentation/tutorials/non_periodic_boundaries/
8 DG schemes via DGMulti solverhttps://trixi-framework.github.io/TrixiDocumentation/tutorials/DGMulti_1/
9 Other SBP schemes (FD, CGSEM) via DGMulti solverhttps://trixi-framework.github.io/TrixiDocumentation/tutorials/DGMulti_2/
10 Upwind FD SBP schemeshttps://trixi-framework.github.io/TrixiDocumentation/tutorials/upwind_fdsbp/
11 Adding a new scalar conservation lawhttps://trixi-framework.github.io/TrixiDocumentation/tutorials/adding_new_scalar_equations/
12 Adding a non-conservative equationhttps://trixi-framework.github.io/TrixiDocumentation/tutorials/adding_nonconservative_equation/
13 Parabolic termshttps://trixi-framework.github.io/TrixiDocumentation/tutorials/parabolic_terms/
14 Adding new parabolic termshttps://trixi-framework.github.io/TrixiDocumentation/tutorials/adding_new_parabolic_terms/
15 Adding parabolic source termshttps://trixi-framework.github.io/TrixiDocumentation/tutorials/parabolic_source_terms/
16 Adaptive mesh refinementhttps://trixi-framework.github.io/TrixiDocumentation/tutorials/adaptive_mesh_refinement/
17 Structured mesh with curvilinear mappinghttps://trixi-framework.github.io/TrixiDocumentation/tutorials/structured_mesh_mapping/
18 Unstructured meshes with HOHQMesh.jlhttps://trixi-framework.github.io/TrixiDocumentation/tutorials/hohqmesh_tutorial/
19 P4est mesh from gmshhttps://trixi-framework.github.io/TrixiDocumentation/tutorials/p4est_from_gmsh/
20 Explicit time steppinghttps://trixi-framework.github.io/TrixiDocumentation/tutorials/time_stepping/
21 Differentiable programminghttps://trixi-framework.github.io/TrixiDocumentation/tutorials/differentiable_programming/
22 Custom semidiscretizationshttps://trixi-framework.github.io/TrixiDocumentation/tutorials/custom_semidiscretization/
Tree meshhttps://trixi-framework.github.io/TrixiDocumentation/meshes/tree_mesh/
Structured meshhttps://trixi-framework.github.io/TrixiDocumentation/meshes/structured_mesh/
Unstructured meshhttps://trixi-framework.github.io/TrixiDocumentation/meshes/unstructured_quad_mesh/
P4est-based meshhttps://trixi-framework.github.io/TrixiDocumentation/meshes/p4est_mesh/
DGMulti meshhttps://trixi-framework.github.io/TrixiDocumentation/meshes/dgmulti_mesh/
Mesh constructor comparisonhttps://trixi-framework.github.io/TrixiDocumentation/meshes/mesh_constructor_comparison/
Time integrationhttps://trixi-framework.github.io/TrixiDocumentation/time_integration/
Callbackshttps://trixi-framework.github.io/TrixiDocumentation/callbacks/
Couplinghttps://trixi-framework.github.io/TrixiDocumentation/multi-physics_coupling/
Conventionshttps://trixi-framework.github.io/TrixiDocumentation/conventions/
Developmenthttps://trixi-framework.github.io/TrixiDocumentation/development/
GitHub & Githttps://trixi-framework.github.io/TrixiDocumentation/github-git/
Style guidehttps://trixi-framework.github.io/TrixiDocumentation/styleguide/
Testinghttps://trixi-framework.github.io/TrixiDocumentation/testing/
Performancehttps://trixi-framework.github.io/TrixiDocumentation/performance/
Parallelizationhttps://trixi-framework.github.io/TrixiDocumentation/parallelization/
Heterogeneoushttps://trixi-framework.github.io/TrixiDocumentation/heterogeneous/
Troubleshooting and FAQhttps://trixi-framework.github.io/TrixiDocumentation/troubleshooting/
Trixi.jlhttps://trixi-framework.github.io/TrixiDocumentation/reference-trixi/
TrixiBase.jlhttps://trixi-framework.github.io/TrixiDocumentation/reference-trixibase/
Trixi2Vtk.jlhttps://trixi-framework.github.io/TrixiDocumentation/reference-trixi2vtk/
Changeloghttps://trixi-framework.github.io/TrixiDocumentation/changelog/
Authorshttps://trixi-framework.github.io/TrixiDocumentation/authors/
Contributinghttps://trixi-framework.github.io/TrixiDocumentation/contributing/
Code of Conducthttps://trixi-framework.github.io/TrixiDocumentation/code_of_conduct/
Licensehttps://trixi-framework.github.io/TrixiDocumentation/license/
https://trixi-framework.github.io/TrixiDocumentation/dev
Homehttps://trixi-framework.github.io/TrixiDocumentation/dev
Homehttps://trixi-framework.github.io/TrixiDocumentation/dev
GitHubhttps://github.com/trixi-framework/Trixi.jl
https://github.com/trixi-framework/Trixi.jl/blob/main/docs/src/index.md
https://trixi-framework.github.io/TrixiDocumentation/dev
javascript:;
Trixi.jlhttps://trixi-framework.github.io/TrixiDocumentation/dev#Trixi.jl
https://trixi-framework.github.io/TrixiDocumentation/dev#Trixi.jl
https://trixi-framework.github.io/TrixiDocumentation/stable
https://trixi-framework.github.io/TrixiDocumentation/dev
https://join.slack.com/t/trixi-framework/shared_invite/zt-sgkc6ppw-6OXJqZAD5SPjBYqLd8MU~g
https://www.youtube.com/@trixi-framework
https://github.com/trixi-framework/Trixi.jl/actions?query=workflow%3ACI
https://codecov.io/gh/trixi-framework/Trixi.jl
https://coveralls.io/github/trixi-framework/Trixi.jl?branch=main
https://github.com/JuliaTesting/Aqua.jl
https://opensource.org/licenses/MIT
https://doi.org/10.5281/zenodo.3996439
https://www.bestpractices.dev/projects/8695
Trixi.jlhttps://github.com/trixi-framework/Trixi.jl
Juliahttps://julialang.org
line/quad/hex/simplex mesheshttps://trixi-framework.github.io/TrixiDocumentation/stable/overview/#Semidiscretizations
p4esthttps://github.com/cburstedde/p4est
P4est.jlhttps://github.com/trixi-framework/P4est.jl
Finite difference summation by parts (SBP) methodshttps://github.com/ranocha/SummationByPartsOperators.jl
SciML ecosystem for ordinary differential equationshttps://diffeq.sciml.ai/latest/
Explicit low-storage Runge-Kutta time integrationhttps://diffeq.sciml.ai/latest/solvers/ode_solve/#Low-Storage-Methods
Strong stability preserving methodshttps://diffeq.sciml.ai/latest/solvers/ode_solve/#Explicit-Strong-Stability-Preserving-Runge-Kutta-Methods-for-Hyperbolic-PDEs-(Conservation-Laws)
ForwardDiff.jlhttps://github.com/JuliaDiff/ForwardDiff.jl
SparseConnectivityTracer.jlhttps://github.com/adrhill/SparseConnectivityTracer.jl
TrixiShallowWater.jlhttps://github.com/trixi-framework/TrixiShallowWater.jl
Self-gravitating gas dynamicshttps://github.com/trixi-framework/paper-self-gravitating-gas-dynamics
Plots.jlhttps://github.com/JuliaPlots/Plots.jl
Makie.jlhttps://makie.juliaplots.org/
Trixi2Vtkhttps://github.com/trixi-framework/Trixi2Vtk.jl
Installationhttps://trixi-framework.github.io/TrixiDocumentation/dev#Installation
https://trixi-framework.github.io/TrixiDocumentation/dev#Installation
follow the instructions for your operating systemhttps://julialang.org/downloads/platform/
For usershttps://trixi-framework.github.io/TrixiDocumentation/dev#For-users
https://trixi-framework.github.io/TrixiDocumentation/dev#For-users
Trixi2Vtkhttps://github.com/trixi-framework/Trixi2Vtk.jl
Plots.jlhttps://github.com/JuliaPlots/Plots.jl
OrdinaryDiffEq.jlhttps://github.com/SciML/OrdinaryDiffEq.jl
OrdinaryDiffEq.jlhttps://github.com/SciML/OrdinaryDiffEq.jl
Plots.jlhttps://github.com/JuliaPlots/Plots.jl
latest releasehttps://github.com/trixi-framework/Trixi.jl/releases/latest
Troubleshootinghttps://trixi-framework.github.io/TrixiDocumentation/troubleshooting/#old-release
Changeloghttps://trixi-framework.github.io/TrixiDocumentation/changelog/#Changelog
For developershttps://trixi-framework.github.io/TrixiDocumentation/dev#for-developers
https://trixi-framework.github.io/TrixiDocumentation/dev#for-developers
Plots.jlhttps://github.com/JuliaPlots/Plots.jl
OrdinaryDiffEq.jlhttps://github.com/SciML/OrdinaryDiffEq.jl
Example: Installing Trixi.jl as a packagehttps://trixi-framework.github.io/TrixiDocumentation/dev#Example:-Installing-Trixi.jl-as-a-package
https://trixi-framework.github.io/TrixiDocumentation/dev#Example:-Installing-Trixi.jl-as-a-package
Usagehttps://trixi-framework.github.io/TrixiDocumentation/dev#Usage
https://trixi-framework.github.io/TrixiDocumentation/dev#Usage
examples/https://github.com/trixi-framework/Trixi.jl/examples/
Example: Running a simulation with Trixi.jlhttps://trixi-framework.github.io/TrixiDocumentation/dev#Example:-Running-a-simulation-with-Trixi.jl
https://trixi-framework.github.io/TrixiDocumentation/dev#Example:-Running-a-simulation-with-Trixi.jl
Troubleshootinghttps://trixi-framework.github.io/TrixiDocumentation/troubleshooting/#font-issues
Performing a convergence analysishttps://trixi-framework.github.io/TrixiDocumentation/dev#Performing-a-convergence-analysis
https://trixi-framework.github.io/TrixiDocumentation/dev#Performing-a-convergence-analysis
Showcase of advanced featureshttps://trixi-framework.github.io/TrixiDocumentation/dev#Showcase-of-advanced-features
https://trixi-framework.github.io/TrixiDocumentation/dev#Showcase-of-advanced-features
From Mesh Generation to Adaptive Simulation: A Journey in Juliahttps://youtu.be/_N4ozHr-t9E
reproducibility repositoryhttps://github.com/trixi-framework/talk-2022-juliacon_toolchain
Referencinghttps://trixi-framework.github.io/TrixiDocumentation/dev#Referencing
https://trixi-framework.github.io/TrixiDocumentation/dev#Referencing
Authorshttps://trixi-framework.github.io/TrixiDocumentation/dev#authors-index-md
https://trixi-framework.github.io/TrixiDocumentation/dev#authors-index-md
Michael Schlottke-Lakemperhttps://www.uni-augsburg.de/fakultaet/mntf/math/prof/hpsc
Gregor Gassnerhttps://www.mi.uni-koeln.de/NumSim/gregor-gassner
Hendrik Ranochahttps://ranocha.de
Andrew Wintershttps://liu.se/en/employee/andwi94
Jesse Chanhttps://jlchan.github.io
Andrés Rueda-Ramírezhttps://andres.rueda-ramirez.com
Authorshttps://trixi-framework.github.io/TrixiDocumentation/authors/#Authors
License and contributinghttps://trixi-framework.github.io/TrixiDocumentation/dev#License-and-contributing
https://trixi-framework.github.io/TrixiDocumentation/dev#License-and-contributing
Licensehttps://trixi-framework.github.io/TrixiDocumentation/license/#License
Contributinghttps://trixi-framework.github.io/TrixiDocumentation/contributing/#Contributing
Code of Conducthttps://trixi-framework.github.io/TrixiDocumentation/code_of_conduct/#code-of-conduct
join us on Slackhttps://join.slack.com/t/trixi-framework/shared_invite/zt-sgkc6ppw-6OXJqZAD5SPjBYqLd8MU~g
create an issuehttps://github.com/trixi-framework/Trixi.jl/issues/new
Participating research groupshttps://trixi-framework.github.io/TrixiDocumentation/dev#Participating-research-groups
https://trixi-framework.github.io/TrixiDocumentation/dev#Participating-research-groups
Applied and Computational Mathematics, RWTH Aachen University 🇩🇪https://www.acom.rwth-aachen.de
Applied Mathematics, Department of Mathematics, University of Hamburg 🇩🇪https://www.math.uni-hamburg.de/en/forschung/bereiche/am.html
Department of Applied Mathematics in Aerospace Engineering, Polytechnic University of Madrid (UPM) 🇪🇸https://numath.dmae.upm.es/
Division of Applied Mathematics, Department of Mathematics, Linköping University 🇸🇪https://liu.se/en/employee/andwi94
Computational and Applied Mathematics, Rice University 🇺🇸https://jlchan.github.io/
High-Performance Computing, Institute of Software Technology, German Aerospace Center (DLR) 🇩🇪https://www.dlr.de/en/sc/about-us/departments/high-performance-computing
High-Performance Scientific Computing, University of Augsburg 🇩🇪https://hpsc.math.uni-augsburg.de
Numerical Mathematics, Institute of Mathematics, Johannes Gutenberg University Mainz 🇩🇪https://ranocha.de
Numerical Simulation, Department of Mathematics and Computer Science, University of Cologne 🇩🇪https://www.mi.uni-koeln.de/NumSim/
Acknowledgmentshttps://trixi-framework.github.io/TrixiDocumentation/dev#Acknowledgments
https://trixi-framework.github.io/TrixiDocumentation/dev#Acknowledgments
Deutsche Forschungsgemeinschafthttps://www.dfg.de/
SNuBIChttps://www.snubic.io
European Research Councilhttps://erc.europa.eu
Vetenskapsrådethttps://www.vr.se
National Science Foundationhttps://www.nsf.gov/
Federal Ministry of Education and Researchhttps://www.bmbf.de
Daimler und Benz Stiftunghttps://www.daimler-benz-stiftung.de
NumFOCUShttps://numfocus.org/
Overview »https://trixi-framework.github.io/TrixiDocumentation/overview/
Documenter.jlhttps://github.com/JuliaDocs/Documenter.jl
Julia Programming Languagehttps://julialang.org/
Documenter.jlhttps://github.com/JuliaDocs/Documenter.jl

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