Add participating groups to README/docs

README.md

@@ -280,6 +280,22 @@ To get in touch with the developers,
 or [create an issue](https://github.com/trixi-framework/Trixi.jl/issues/new).
 
 
+## Participating research groups
+Participating research groups in alphabetical order:
+
+[Applied and Computational Mathematics, RWTH Aachen University :de:](https://www.acom.rwth-aachen.de)
+
+[Applied Mathematics, Linköping University :sweden:](https://liu.se/en/employee/andwi94)
+
+[Computational and Applied Mathematics, Rice University :us:](https://jlchan.github.io/)
+
+[High-Performance Scientific Computing, University of Augsburg :de:](https://www.uni-augsburg.de/fakultaet/mntf/math/prof/hpsc)
+
+[Numerical Mathematics, Institute of Mathematics, Johannes Gutenberg University Mainz :de:](https://ranocha.de)
+
+[Numerical Simulation, Department of Mathematics and Computer Science, University of Cologne :de:](https://www.mi.uni-koeln.de/NumSim/)
+
+
 ## Acknowledgments
 <p align="center" style="font-size:0;"><!--
   BMBF     --><img align="middle" src="https://github.com/trixi-framework/Trixi.jl/assets/3637659/f59af636-3098-4be6-bf80-c6be3f17cbc6" height="120"><!--

docs/src/index.md

@@ -10,6 +10,10 @@
 [![Aqua QA](https://raw.githubusercontent.com/JuliaTesting/Aqua.jl/master/badge.svg)](https://github.com/JuliaTesting/Aqua.jl)
 [![License: MIT](https://img.shields.io/badge/License-MIT-success.svg)](https://opensource.org/licenses/MIT)
 [![DOI](https://zenodo.org/badge/DOI/10.5281/zenodo.3996439.svg)](https://doi.org/10.5281/zenodo.3996439)
+[![OpenSSF Best Practices](https://www.bestpractices.dev/projects/8695/badge)](https://www.bestpractices.dev/projects/8695)
+<!-- [![Downloads](https://shields.io/endpoint?url=https://pkgs.genieframework.com/api/v1/badge/Trixi)](https://pkgs.genieframework.com?packages=Trixi) -->
+<!-- [![GitHub commits since tagged version](https://img.shields.io/github/commits-since/trixi-framework/Trixi.jl/v0.3.43.svg?style=social&logo=github)](https://github.com/trixi-framework/Trixi.jl) -->
+<!-- [![PkgEval](https://juliaci.github.io/NanosoldierReports/pkgeval_badges/T/Trixi.svg)](https://juliaci.github.io/NanosoldierReports/pkgeval_badges/report.html) -->
 
 [**Trixi.jl**](https://github.com/trixi-framework/Trixi.jl)
 is a numerical simulation framework for conservation
@@ -47,7 +51,7 @@ installation and postprocessing procedures. Its features include:
   * Hyperbolic diffusion equations for elliptic problems
   * Lattice-Boltzmann equations (D2Q9 and D3Q27 schemes)
   * Shallow water equations
-  * Scalar advection
+  * Several scalar conservation laws (e.g., linear advection, Burgers' equation, LWR traffic flow)
 * Multi-physics simulations
   * [Self-gravitating gas dynamics](https://github.com/trixi-framework/paper-self-gravitating-gas-dynamics)
 * Shared-memory parallelization via multithreading
@@ -93,11 +97,11 @@ If the installed version does not match the current release, please check the
 [Troubleshooting](@ref old-release) section.
 
 The commands above can also be used to update Trixi.jl. A brief list of notable
-changes to Trixi.jl is available in [`NEWS.md`](https://github.com/trixi-framework/Trixi.jl/NEWS.md).
+changes to Trixi.jl is available in the [`Changelog`](@ref).
 
 ### [For developers](@id for-developers)
-If you plan on editing Trixi.jl itself, you can download Trixi.jl to a local folder
-and use the code from the cloned directory:
+If you plan on editing Trixi.jl itself, you can download Trixi.jl locally and use the
+code from the cloned directory:
 ```bash
 git clone [email protected]:trixi-framework/Trixi.jl.git
 cd Trixi.jl
@@ -327,7 +331,7 @@ Schlottke-Lakemper](https://www.uni-augsburg.de/fakultaet/mntf/math/prof/hpsc)
 (University of Augsburg, Germany) and
 [Gregor Gassner](https://www.mi.uni-koeln.de/NumSim/gregor-gassner)
 (University of Cologne, Germany). Together with [Hendrik Ranocha](https://ranocha.de)
-(Johannes Gutenberg University Mainz, Germany) and [Andrew Winters](https://liu.se/en/employee/andwi94)
+(Johannes Gutenberg University Mainz, Germany), [Andrew Winters](https://liu.se/en/employee/andwi94)
 (Linköping University, Sweden), and [Jesse Chan](https://jlchan.github.io) (Rice University, US),
 they are the principal developers of Trixi.jl.
 The full list of contributors can be found under [Authors](@ref).
@@ -344,6 +348,22 @@ To get in touch with the developers,
 or [create an issue](https://github.com/trixi-framework/Trixi.jl/issues/new).
 
 
+## Participating research groups
+Participating research groups in alphabetical order:
+
+[Applied and Computational Mathematics, RWTH Aachen University :de:](https://www.acom.rwth-aachen.de)
+
+[Applied Mathematics, Linköping University :sweden:](https://liu.se/en/employee/andwi94)
+
+[Computational and Applied Mathematics, Rice University :us:](https://jlchan.github.io/)
+
+[High-Performance Scientific Computing, University of Augsburg :de:](https://www.uni-augsburg.de/fakultaet/mntf/math/prof/hpsc)
+
+[Numerical Mathematics, Institute of Mathematics, Johannes Gutenberg University Mainz :de:](https://ranocha.de)
+
+[Numerical Simulation, Department of Mathematics and Computer Science, University of Cologne :de:](https://www.mi.uni-koeln.de/NumSim/)
+
+
 ## Acknowledgments
 
 ```@raw html