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{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Complex shapes in Underworld: Voxels, binvox and the Cow\n",
    "\n",
    "This notebook describes a possible method for importing complex geometries onto Underworld particles\n",
    "\n",

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# get the development version
FROM underworldcode/underworld2_untested:dev

MAINTAINER [email protected]

# modify original underworldcode/underworld2 images
RUN apt-get update -qq && DEBIAN_FRONTEND=noninteractive \
  apt-get remove petsc-dev -yq && \
  apt-get autoremove -yq && \
  apt-get install -yq \

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import numpy as np

# fst_var -> the swarm variable for the finite strain tensor
# vField  -> the velocity field

gradV      = vField.fn_gradient
srFn       = fn.tensor.symmetric( gradV )
a_velocity = 0.5*(gradV[1] - gradV[2]) # angular velocity

def rotateTensor2D(t, theta):

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static char help[] = "Poiseuille Flow in 2d and 3d channels with finite elements.\n\
We solve the Poiseuille flow problem in a rectangular\n\
domain, using a parallel unstructured mesh (DMPLEX) to discretize it.\n\n\n";

/*F
A Poiseuille flow is a steady-state isoviscous Stokes flow in a pipe of constant cross-section. We discretize using the
finite element method on an unstructured mesh. The weak form equations are
\begin{align*}
  < \nabla v, \nu (\nabla u + {\nabla u}^T) > - < \nabla\cdot v, p > + < v, \Delta \hat n >_{\Gamma_o} = 0
  < q, \nabla\cdot u >                                                                                 = 0

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#!/usr/bin/env python
# coding: utf-8

import underworld as uw
import numpy as np
import glucifer
import time


# In[11]:

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/*~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
** Copyright (c) 2005-2010, Monash University 
** All rights reserved.
** Redistribution and use in source and binary forms, with or without modification,
** are permitted provided that the following conditions are met:
**
** 		* Redistributions of source code must retain the above copyright notice, 
** 			this list of conditions and the following disclaimer.
** 		* Redistributions in binary form must reproduce the above copyright 
**			notice, this list of conditions and the following disclaimer in the 

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