From 9a43d90ab8cc26938d7011e2cb09fa4f508365d1 Mon Sep 17 00:00:00 2001
From: "Dennis.Glaeser" <dennis.glaeser@iws.uni-stuttgart.de>
Date: Tue, 7 Apr 2020 09:27:50 +0200
Subject: [PATCH] [examples][tracer] fix equations
---
examples/1ptracer/README.md | 4 ++--
examples/1ptracer/doc/_intro.md | 4 ++--
2 files changed, 4 insertions(+), 4 deletions(-)
diff --git a/examples/1ptracer/README.md b/examples/1ptracer/README.md
index 516fc37705..1c355ed460 100644
--- a/examples/1ptracer/README.md
+++ b/examples/1ptracer/README.md
@@ -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),
```
-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:
```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 $`p`$.
diff --git a/examples/1ptracer/doc/_intro.md b/examples/1ptracer/doc/_intro.md
index 83583192b2..4b37aa1f54 100644
--- a/examples/1ptracer/doc/_intro.md
+++ b/examples/1ptracer/doc/_intro.md
@@ -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),
```
-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:
```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 $`p`$.
--
GitLab