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Commit f02b94a5 authored by Timo Koch's avatar Timo Koch
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[slides][model] Harmonize dumux style

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title: Implementing a Model in DuMuX
title: Implementing a Model in DuMu^x^
---
# What is a DuMu<sup>X</sup> model
# What is a DuMu^x^ model
## What is a DuMu<sup>X</sup> model
A DuMu<sup>X</sup> model is an implementation of a discretized **mathematical model**, generally given by partial differential equations.
## What is a DuMu^x^ model
A DuMu^x^ model is an implementation of a discretized **mathematical model**, generally given by partial differential equations.
## What is a DuMu<sup>X</sup> model
## What is a DuMu^x^ model
Mathematical model (PDE):
$\begin{equation*}
\small
......@@ -22,7 +22,7 @@ $\begin{equation*}
|B| \frac{S_h(\mathbf{u}^{n+1}_h) - S_h(\mathbf{u}^{n}_h)}{\Delta t} + \sum_{\sigma \in \Sigma_B} F_{B,\sigma}(\mathbf{u}^{n+1}_h) = \int_{B} q^{n+1} \, dx, \quad \forall t_{n+1}\leq T, \; \forall B
\end{equation*}$
## What is a DuMu<sup>X</sup> model
## What is a DuMu^x^ model
Discrete model, e.g. using finite volumes:
$\begin{equation*}
\small
......@@ -33,7 +33,7 @@ $\begin{equation*}
* $F_{B,\sigma}:$ flux term over sub control volume face (scvf)
* $q:$ source term
Where to implement these terms in DuMu<sup>X</sup>?
Where to implement these terms in DuMu^x^?
`LocalResidual`
......
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