From 44f4d7752415416ac6f3a069714f4ee6f8a2bafd Mon Sep 17 00:00:00 2001 From: Brantegger Georg Date: Mon, 16 May 2022 15:44:03 +0200 Subject: [PATCH] messing around with a testvolume and visualization of the change in height that comes with different flow patterns --- .gitignore | 1 + Messy_NB.ipynb | 4 +- functions/visualize_parameters.py | 1 + functions/visualize_parameters_nb.ipynb | 6977 + functions/volume_change.py | 117 + functions/volume_change_nb.ipynb | 2081044 ++++++++++++++++++++ 6 files changed, 2088142 insertions(+), 2 deletions(-) create mode 100644 functions/visualize_parameters.py create mode 100644 functions/visualize_parameters_nb.ipynb create mode 100644 functions/volume_change.py create mode 100644 functions/volume_change_nb.ipynb diff --git a/.gitignore b/.gitignore index 30bd298..0bc4a4f 100644 --- a/.gitignore +++ b/.gitignore @@ -1 +1,2 @@ 2bignored.txt +functions/__pycache__/ \ No newline at end of file diff --git a/Messy_NB.ipynb b/Messy_NB.ipynb index 1bb8120..6b81105 100644 --- a/Messy_NB.ipynb +++ b/Messy_NB.ipynb @@ -9,13 +9,13 @@ "name": "stdout", "output_type": "stream", "text": [ - "1.21.5\n" + "11\n" ] } ], "source": [ "import numpy as np\n", - "print(np.__version__)" + "import plotly\n" ] } ], diff --git a/functions/visualize_parameters.py b/functions/visualize_parameters.py new file mode 100644 index 0000000..91f441a --- /dev/null +++ b/functions/visualize_parameters.py @@ -0,0 +1 @@ +import plotly \ No newline at end of file diff --git a/functions/visualize_parameters_nb.ipynb b/functions/visualize_parameters_nb.ipynb new file mode 100644 index 0000000..b9d84e3 --- /dev/null +++ b/functions/visualize_parameters_nb.ipynb @@ -0,0 +1,6977 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 66, + "metadata": {}, + "outputs": [], + "source": [ + "import pandas as pd\n", + "import numpy as np\n", + "from numpy import cos,exp,sin\n", + "\n", + "\n", + "time_vec = np.linspace(0,100,1000)\n", + "h_vec = cos(time_vec)*exp(-0.03*time_vec)\n", + "\n", + "time_df = pd.DataFrame(time_vec,columns=['time'])\n", + "h_df = pd.DataFrame(h_vec,columns=['height'])\n", + "\n", + "concat_df = pd.concat([time_df,h_df],axis=1)" + ] + }, + { + "cell_type": "code", + "execution_count": 70, + "metadata": {}, + "outputs": [ + { + "data": { + "application/vnd.plotly.v1+json": { + "config": { + "plotlyServerURL": "https://plot.ly" + }, + "data": [ + { + "type": "scatter", + "x": [ + 0, + 0.1001001001001001, + 0.2002002002002002, + 0.3003003003003003, + 0.4004004004004004, + 0.5005005005005005, + 0.6006006006006006, + 0.7007007007007008, + 0.8008008008008008, + 0.9009009009009009, + 1.001001001001001, + 1.1011011011011012, + 1.2012012012012012, + 1.3013013013013013, + 1.4014014014014016, + 1.5015015015015016, + 1.6016016016016017, + 1.7017017017017018, + 1.8018018018018018, + 1.9019019019019021, + 2.002002002002002, + 2.1021021021021022, + 2.2022022022022023, + 2.3023023023023024, + 2.4024024024024024, + 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+ ] + } + ], + "metadata": { + "interpreter": { + "hash": "84fb123bdc47ab647d3782661abcbe80fbb79236dd2f8adf4cef30e8755eb2cd" + }, + "kernelspec": { + "display_name": "Python 3.8.13 ('Georg_DT_Slot3')", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.13" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/functions/volume_change.py b/functions/volume_change.py new file mode 100644 index 0000000..2337ad9 --- /dev/null +++ b/functions/volume_change.py @@ -0,0 +1,117 @@ + +import numpy as np +# Testvolume +# Depth of the whole structure is constant and given by the variable d +# +# +# { x_1*d*h for h <= h_1 +# V(h) = { x_1*d*(h-h_1)+(x_2-x_1)*d*(h-h_1)**2/(2*(h_2-h_1) + V(h_1)) for h_1 < h <= h_2 +# { x_2*d*(h-h_2)+(x_3-x_2)*d*(h-h_2)**2/(2*(h_3-h_2) + V(h_2)) for h_2 < h <= h_3 +# { x_3*d*(h-h_3) + V(h_3) for h_3 < h +# +# +# { V/(x_1*d) for V <= V_1 +#h(V) = { (-b_2+sqrt(b_2**2-4*a_2*c_2)/(2*a_2)) for V_1 < V <= V_2 +# { (-b_3+sqrt(b_3**2-4*a_3*c_3)/(2*a_3)) for V_2 < V <= V_3 +# { (V-V_3)/(x_1*d) for V_3 < V +# +# with +# a_2 = 0.5*((x_2-x_1)*d)/(h_2-h_1) +# a_3 = 0.5*((x_3-x_2)*d)/(h_3-h_2) +# +# b_2 = x_1*d-((x_2-x_1)*d*h_1)/(h_2-h_1) +# b_3 = x_2*d-((x_3-x_2)*d*h_2)/(h_3-h_2) +# +# c_2 = ((x_2-x_1)*d*h_1**2)/(h_2-h_1)-h_1*x_1*d-(V-V_1) +# c_3 = ((x_3-x_2)*d*h_2**2)/(h_3-h_2)-h_2*x_2*d-(V-V_2) +# +# +# +# +# +# _____ +# | | | +# | | | +# | | | h_4 - h_3 +# | | _|_ +# __| _ _ |__ | +# / x_3 \ | +# / \ | +# / \ | +# / \ | h_3 - h_2 +# / \ | +# / \ | +# / \ | +# / \ | +# / \ _|_ +# <-----------------------------> | +# \ x_2 / | h_2 - h_1 +# \ / | +# \ _ _ _ _ _ _ _ _ _ _ _ / _|_ +# | x_1 | | +# | | | h_1 +# | | | +# |_____________________| _|_ + + + + + + +h_1 = 10 +h_2 = 5 + h_1 +h_3 = 5 + h_2 + +x_1 = 100 +x_2 = 101 +x_3 = 30 + +d = 5 + +V_1 = x_1*d*h_1 +V_2 = x_1*d*(h_2-h_1)+(x_2-x_1)*d*(h_2-h_1)**2/(2*(h_2-h_1)) + V_1 +V_3 = x_2*d*(h_3-h_2)+(x_3-x_2)*d*(h_3-h_2)**2/(2*(h_3-h_2)) + V_2 + +def V_h(h): + if h <= h_1: + V = x_1*d*h + elif (h_1 < h) and (h <= h_2): + V = x_1*d*(h-h_1)+(x_2-x_1)*d*(h-h_1)**2/(2*(h_2-h_1)) + V_1 + elif (h_2 < h) and (h <= h_3): + V = x_2*d*(h-h_2)+(x_3-x_2)*d*(h-h_2)**2/(2*(h_3-h_2)) + V_2 + elif (h_3 < h): + V = x_3*d*(h-h_3) + V_3 + + return V + +a_2 = 0.5*((x_2-x_1)*d)/(h_2-h_1) +a_3 = 0.5*((x_3-x_2)*d)/(h_3-h_2) + +b_2 = x_1*d-((x_2-x_1)*d*h_1)/(h_2-h_1) +b_3 = x_2*d-((x_3-x_2)*d*h_2)/(h_3-h_2) + +c_2 = ((x_2-x_1)*d*h_1**2)/(2*(h_2-h_1))-h_1*x_1*d +c_3 = ((x_3-x_2)*d*h_2**2)/(2*(h_3-h_2))-h_2*x_2*d + + +def h_V(V): + if V <= V_1: + h = V/(x_1*d) + elif (V_1 < V) and (V <= V_2): + h = (-b_2+(b_2**2-4*a_2*(c_2-(V-V_1)))**0.5)/(2*a_2) + elif (V_2 < V) and (V <= V_3): + h = (-b_3+(b_3**2-4*a_3*(c_3-(V-V_2)))**0.5)/(2*a_3) + elif (V_3 < V): + h = (V-V_3)/(x_3*d)+h_3 + return h + + +def show_parameters(): + print('h_1: ', h_1) + print('h_2: ', h_2) + print('h_3: ', h_3) + print('x_1: ', x_1) + print('x_2: ', x_2) + print('x_3: ', x_3) + + diff --git a/functions/volume_change_nb.ipynb b/functions/volume_change_nb.ipynb new file mode 100644 index 0000000..d5aef10 --- /dev/null +++ b/functions/volume_change_nb.ipynb @@ -0,0 +1,2081044 @@ +{ + "cells": [ + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [], + "source": [ + "# # only need to import the function you want to use\n", + "# # secondary functions, that are called within the imported one, don't need to be importex explicitly\n", + "# from volume_change import V_von_h\n", + "\n", + "# V_von_h(10)" + ] + }, + { + "cell_type": "code", + "execution_count": 22, + "metadata": {}, + "outputs": [], + "source": [ + "# create in and outflux vectors\n", + "import numpy as np\n", + "from numpy import cos,sin\n", + "from volume_change import V_h,h_V\n", + "\n", + "t_max = 2600\n", + "timestep = 10**-2\n", + "time = np.arange(0,t_max,timestep)\n", + "\n", + "#scaling factor in_out\n", + "# sf_in_out = 1000\n", + "# influx = sf_in_out*cos(time)*np.exp(-0.01*time)+0.01*time\n", + "# outflux = sf_in_out*sin(0.5*time)*np.exp(-0.01*time)\n", + "# scaling factor in_out\n", + "influx = 75*np.ones_like(time)\n", + "outflux = 0.001*time**1.75\n", + "outflux[outflux > 90] = 90\n", + "\n", + "\n", + "h_0 = 0\n", + "\n", + "V_t = np.empty_like(time)\n", + "h_t = np.empty_like(time)\n", + "delta_Q = np.empty_like(time)\n", + "delta_V = np.empty_like(time)\n", + "\n", + "for i in range(len(time)):\n", + " delta_Q[i] = influx[i]-outflux[i]\n", + " delta_V[i] = delta_Q[i]*timestep\n", + " if i == 0:\n", + " V_t[0] = V_h(h_0)\n", + " else:\n", + " V_t[i] = V_t[i-1]+delta_V[i]\n", + " \n", + " h_t[i] = h_V(V_t[i])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 23, + "metadata": {}, + "outputs": [ + { + "data": { + 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"" + } + }, + "scene": { + "xaxis": { + "backgroundcolor": "#E5ECF6", + "gridcolor": "white", + "gridwidth": 2, + "linecolor": "white", + "showbackground": true, + "ticks": "", + "zerolinecolor": "white" + }, + "yaxis": { + "backgroundcolor": "#E5ECF6", + "gridcolor": "white", + "gridwidth": 2, + "linecolor": "white", + "showbackground": true, + "ticks": "", + "zerolinecolor": "white" + }, + "zaxis": { + "backgroundcolor": "#E5ECF6", + "gridcolor": "white", + "gridwidth": 2, + "linecolor": "white", + "showbackground": true, + "ticks": "", + "zerolinecolor": "white" + } + }, + "shapedefaults": { + "line": { + "color": "#2a3f5f" + } + }, + "ternary": { + "aaxis": { + "gridcolor": "white", + "linecolor": "white", + "ticks": "" + }, + "baxis": { + "gridcolor": "white", + "linecolor": "white", + "ticks": "" + }, + "bgcolor": "#E5ECF6", + "caxis": { + "gridcolor": "white", + "linecolor": "white", + "ticks": "" + } + }, + "title": { + "x": 0.05 + }, + "xaxis": { + "automargin": true, + "gridcolor": "white", + "linecolor": "white", + "ticks": "", + "title": { + "standoff": 15 + }, + "zerolinecolor": "white", + "zerolinewidth": 2 + }, + "yaxis": { + "automargin": true, + "gridcolor": "white", + "linecolor": "white", + "ticks": "", + "title": { + "standoff": 15 + }, + "zerolinecolor": "white", + "zerolinewidth": 2 + } + } + }, + "xaxis": { + "anchor": "y", + "domain": [ + 0, + 1 + ] + }, + "xaxis2": { + "anchor": "y2", + "domain": [ + 0, + 1 + ] + }, + "xaxis3": { + "anchor": "y3", + "domain": [ + 0, + 1 + ] + }, + "yaxis": { + "anchor": "x", + "domain": [ + 0.7333333333333333, + 1 + ] + }, + "yaxis2": { + "anchor": "x2", + "domain": [ + 0.36666666666666664, + 0.6333333333333333 + ] + }, + "yaxis3": { + "anchor": "x3", + "domain": [ + 0, + 0.26666666666666666 + ] + } + } + } + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "import plotly.express as px\n", + "from plotly.subplots import make_subplots\n", + "import plotly.graph_objects as go\n", + "import pandas as pd\n", + "\n", + "df = pd.DataFrame(np.transpose([time,influx,outflux,h_t,V_t]),columns=['time','influx','outflux','h_t','V_t'])\n", + "\n", + "# print(any(h_t<0))\n", + "# print(any(h_t>40))\n", + "\n", + "fig = make_subplots(3,1)\n", + "\n", + "fig.add_trace(go.Scatter(x=df['time'],y=df['h_t']),row=1,col=1)\n", + "fig.add_trace(go.Scatter(x=df['time'],y=df['V_t']),row=2,col=1)\n", + "fig.add_trace(go.Scatter(x=df['time'],y=df['influx']),row=3,col=1)\n", + "fig.add_trace(go.Scatter(x=df['time'],y=df['outflux']),row=3,col=1)\n", + "fig.show()" + ] + }, + { + "cell_type": "code", + "execution_count": 24, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "h_1: 10\n", + "h_2: 15\n", + "h_3: 20\n", + "x_1: 100\n", + "x_2: 101\n", + "x_3: 30\n" + ] + } + ], + "source": [ + "from volume_change import show_parameters\n", + "show_parameters()" + ] + } + ], + "metadata": { + "interpreter": { + "hash": "84fb123bdc47ab647d3782661abcbe80fbb79236dd2f8adf4cef30e8755eb2cd" + }, + "kernelspec": { + "display_name": "Python 3.8.13 ('Georg_DT_Slot3')", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.8.13" + }, + "orig_nbformat": 4 + }, + "nbformat": 4, + "nbformat_minor": 2 +}