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Commit 9a43d90a authored by Dennis Gläser's avatar Dennis Gläser
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[examples][tracer] fix equations

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...@@ -52,12 +52,12 @@ The single phase model uses Darcy's law as the equation for the momentum conserv ...@@ -52,12 +52,12 @@ The single phase model uses Darcy's law as the equation for the momentum conserv
\textbf v = - \frac{\textbf K}{\mu} \left(\textbf{grad}\, p - \varrho {\textbf g} \right), \textbf v = - \frac{\textbf K}{\mu} \left(\textbf{grad}\, p - \varrho {\textbf g} \right),
``` ```
with the darcy velocity $` \textbf v `$, the permeability $` \textbf K`$, the dynamic viscosity $` \mu`$, the pressure $`p`$, the density $`\rho`$ and the gravity $`\textbf g`$. with the darcy velocity $`\textbf v`$, the permeability $`\textbf K`$, the dynamic viscosity $`\mu`$, the pressure $`p`$, the density $`\varrho`$ and the gravitational acceleration $`\textbf g`$.
Darcy's law is inserted into the mass balance equation: Darcy's law is inserted into the mass balance equation:
```math ```math
\phi \frac{\partial \varrho}{\partial t} + \text{div} \textbf v = 0, \phi \frac{\partial \varrho}{\partial t} + \text{div} \left( \varrho \textbf v \right) = 0,
``` ```
where $`\phi`$ is the porosity. The primary variable used in this model is the pressure $`p`$. where $`\phi`$ is the porosity. The primary variable used in this model is the pressure $`p`$.
......
...@@ -50,12 +50,12 @@ The single phase model uses Darcy's law as the equation for the momentum conserv ...@@ -50,12 +50,12 @@ The single phase model uses Darcy's law as the equation for the momentum conserv
\textbf v = - \frac{\textbf K}{\mu} \left(\textbf{grad}\, p - \varrho {\textbf g} \right), \textbf v = - \frac{\textbf K}{\mu} \left(\textbf{grad}\, p - \varrho {\textbf g} \right),
``` ```
with the darcy velocity $` \textbf v `$, the permeability $` \textbf K`$, the dynamic viscosity $` \mu`$, the pressure $`p`$, the density $`\rho`$ and the gravity $`\textbf g`$. with the darcy velocity $`\textbf v`$, the permeability $`\textbf K`$, the dynamic viscosity $`\mu`$, the pressure $`p`$, the density $`\varrho`$ and the gravitational acceleration $`\textbf g`$.
Darcy's law is inserted into the mass balance equation: Darcy's law is inserted into the mass balance equation:
```math ```math
\phi \frac{\partial \varrho}{\partial t} + \text{div} \textbf v = 0, \phi \frac{\partial \varrho}{\partial t} + \text{div} \left( \varrho \textbf v \right) = 0,
``` ```
where $`\phi`$ is the porosity. The primary variable used in this model is the pressure $`p`$. where $`\phi`$ is the porosity. The primary variable used in this model is the pressure $`p`$.
......
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