commit 39b5afd944076852c08937d7a67420019511a2b6
parent 53ec0d3820ca4ed390835174be96e125c14a5eb0
Author: Anders Damsgaard <anders@adamsgaard.dk>
Date: Wed, 4 Sep 2019 14:19:13 +0200
Fix merge, update fig3
Diffstat:
2 files changed, 0 insertions(+), 9 deletions(-)
diff --git a/continuum-granular-manuscript1.tex b/continuum-granular-manuscript1.tex
@@ -151,14 +151,6 @@ Future research will investigate how wide grain-size distributions affect strain
\subsection{Numerical solution procedure}%
\label{sub:numerical_solution_procedure}
-<<<<<<< HEAD
-The presented formulation is applicable to any spatial dimensionality.
-For the purposes of this study we apply it in a 1D spatial reference system.
-Axis $x$ is along flow and axis $z$ is pointed upwards with a domain thickness of $L_z$.
-Shear deformation is restricted to occur in horizontal (x) shear zones.
-We assign depth coordinates $z_i$ and fluidity $g_i$ to a regular grid with ghost nodes and cell spacing $\Delta z$.
-The normal stress is assumed to increase with depth due to lithostatic pressure from the overburden ($\sigma_\text{n}(z) = \int^{z'=L_z}_{z'=z} \rho_\text{s} \phi G dz' + \sigma_\text{n,t}$), where G is the magnitude of gravitational acceleration and $\sigma_\text{n,t}$ is the normal stress applied on the top of the domain.
-=======
We apply the model in a one-dimensional setup where simple shear occurs along the horizontal axis $x$.
The vertical axis is denoted $z$.
The spatial domain is $L_z = 8$ m long and is discretized into cells with equal size to the representative grain size $d$.
@@ -183,7 +175,6 @@ The shear friction is through the depth of the model found as:
= \mu_\text{top} \frac{\sigma_\text{n,top}'}{\sigma_\text{n}'(z)}.
\label{eq:tau}
\end{equation}
->>>>>>> 40980e249147e180020e940365370387fa1083dc
We assign depth coordinates $z_i$, granular fluidity $g_i$, and fluid pressure $p_{\text{f},i}$ to a regular grid with ghost nodes and cell spacing $\Delta z$.
The fluidity field $g$ is solved for a set of mechanical forcings ($\mu$, $\sigma_\text{n}'$, boundary conditions for $g$), and material parameters ($A$, $b$, $d$).
diff --git a/experiments/fig3.pdf b/experiments/fig3.pdf
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