From dd482125e1cf73c7bced32e29a4b6ae62ca36993 Mon Sep 17 00:00:00 2001
From: Timo Koch <timokoch@math.uio.no>
Date: Wed, 22 Mar 2023 17:28:30 +0100
Subject: [PATCH] [readme] Improve section What is Dumux?

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 # What is DuMux?
 
-[DuMu<sup>x</sup>][0] is a simulation toolbox mainly aimed at flow and transport
-processes in porous media. DuMu<sup>x</sup> is based on the [DUNE][1]
-framework and aims to provide a multitude of numerical models as well
-as flexible discretization methods for complex non-linear phenomena,
-such as CO2 sequestration, soil remediation, drug delivery in cancer
-therapy and more. Have a look at our publications
+[DuMu<sup>x</sup>][0] is a simulation framework with a focus on
+finite volume discretization methods, model coupling for multi-physics applications,
+and flow and transport applications in porous media.
+
+DuMu<sup>x</sup> is based on the [DUNE][1] framework from which it uses
+the versatile grid interface, vector and matrix types, geometry and local basis functions, and linear solvers.
+DuMu<sup>x</sup> then provides
+
+* Finite volume discretizations (Tpfa, Mpfa, Staggered) and control-volume finite element discretization schemes
+* A flexible system matrix assembler and approximation of the Jacobian matrix by numeric differentation
+* A customizable Newton method implementation including line search and various stopping criteria
+* Many preimplemented models (Darcy-scale porous media flow, Navier-Stokes, Geomechanics, Pore network models, Shallow water equations) and constitutive models
+* A multi-domain framework for model coupling suited to couple subproblems with different discretizations/domains/physics/dimensions/... and create monolithic solvers
+
+DuMu<sup>x</sup> has been applied to model complex and non-linear phenomena,
+such as $\mathrm{CO}_2$ sequestration, soil remediation, reactive transport and precipitaion phenomena,
+drug delivery in cancer therapy, flow in micro-fluidics, root-soil interaction,
+flow in fractured porous media, atmosphere-soil flow interaction, evaporation and more.
+Please have a look at our journal publications
 (see below: [How to cite](#how-to-cite))
-for a more detailed description of the goals and motivations behind DuMu<sup>x</sup>.
+for a more detailed description of the goals the development history
+and motivations behind DuMu<sup>x</sup>.
 
 [![Project Status: Active – The project has reached a stable, usable state and is being actively developed.](https://www.repostatus.org/badges/latest/active.svg)](https://www.repostatus.org/#active)
 
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GitLab