Flute like simulation with Lambda and lambdasim (2D FDTD)

ww1.ipynb

{
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  "signature": "sha256:331c9888515faed900bd18108c90c7ed634f31423791a1ad840f27b69e5de800"
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  {
   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Simulate a very simple woodwind with Lambda (2D fdtd)\n",
      "\n",
      "We simulate a flute-like woodwind to prove that the air escapes the instrument at the first open hole. The shape of the instrument is actually of little importance for this specific experiment."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "import lambdasim as l\n",
      "from IPython.display import *"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 1
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Simulation space\n",
      "We draw the walls of our instrument. The instrument will be around 90cm in width. We define alse a source at the left wall (red), and receivers (\"microphones\") at the first and last hole, as well as at the right opening (blue pixels). "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "simimg = \"walls4.png\"\n",
      "info = l.util.png_info(simimg)\n",
      "print(info)\n",
      "Image(\"./walls4.png\")"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "{'bitdepth': 8, 'interlace': 0, 'planes': 4, 'greyscale': False, 'alpha': True, 'size': (1100, 165)}\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "png": 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       "prompt_number": 2,
       "text": [
        "<IPython.core.display.Image at 0x107d43b10>"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Xpix, Ypix = info['size']\n",
      "X = 1\n",
      "\n",
      "s = l.Simulation(resolution=X/Xpix).set_size_in_pixels(Xpix, Ypix)\n",
      "first_hole_x, first_hole_y = s.pix2coord(360, 100)\n",
      "x0, _ = s.pix2coord(17, 0)\n",
      "resfreq = l.acoustics.wavelen2freq(first_hole_x - x0)*0.5\n",
      "\n",
      "s.wall_from_image(simimg, color=(255,255,255), dist=0.2)\n",
      "source_mat = l.img_to_mask(simimg, (255,0,0), dist=0.2)\n",
      "\n",
      "source = s.source_from_array(source_mat, kind='hannsin', amp=0.3, freq=resfreq)\n",
      "\n",
      "#s.source_point(x0+0.01, first_hole_y, 'hannsin', freq=resfreq, amp=0.3)\n",
      "#s.source_point(x0+0.01+s.nodesize, first_hole_y+s.nodesize, 'pinknoise', amp=0.1)\n",
      "\n",
      "print(s)\n",
      "print(\"\")\n",
      "print(source)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Adjusting pixel size: Y 165 -> 166\n",
        "using backend: pyPNG\n",
        "(181500, 3)"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "adapt: crop\n",
        "using backend: pyPNG\n",
        "(181500, 3)"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n",
        "Simulation\n",
        "----------\n",
        "nodesize    : 0 mm\n",
        "samplerate  : 533582 Hz\n",
        "C           : 343.0 m/s\n",
        "rho         : 1.204 kg/m3\n",
        "size        : 1.00 m x 0.15 m\n",
        "matrix      : 1100 pixels x 166 pixels\n",
        "num. sources: 22\n",
        "num. recs.  : 0\n",
        "num. samples: 0\n",
        "\n",
        "SourceList\n",
        "----------\n",
        "numpoints: 22\n",
        "freqs    : set([555.0831110227851])\n",
        "coords   : (16, 85) - (16, 106)\n",
        "\n"
       ]
      }
     ],
     "prompt_number": 18
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Define the receivers"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "recvpix = l.mask_to_pixels(l.img_to_mask(simimg, (0,0,255), 0.1))\n",
      "recvpix.sort(key=lambda (x,y):y) # sort by x, then by y\n",
      "recvpix.sort(key=lambda (x,y):x)\n",
      "for i, (xpix, ypix) in enumerate(recvpix):\n",
      "    x, y = s.pix2coord(xpix, ypix)\n",
      "    \n",
      "    #s.make_receiver(x, y, \"recv%d-%dx%d\"%(i, xpix, ypix))\n",
      "    s.make_receiver(x, y)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "using backend: pyPNG\n",
        "(181500, 3)"
       ]
      },
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "\n"
       ]
      }
     ],
     "prompt_number": 19
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Write down the simulation, discard the angles"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "print(s.receivers)\n",
      "s.angmat = None\n",
      "s.write(\"ww1\")"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "[(0.32711370262390665, 0.069387755102040802, ''), (0.69567983037370784, 0.068486615425390918, ''), (0.897535117943281, 0.086509408958388531, '')]\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 20,
       "text": [
        "Simulation(samplerate=533582.8, size=(1.0, 0.2), duration=1.000)"
       ]
      }
     ],
     "prompt_number": 20
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Open the simulation for testing"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "s.opensim()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Calling Lamda as: ['/Applications/Lambda.app/Contents/MacOS/Lambda', '-file', '/Users/em/proj/simulations/woodwind/ww1.sim', '-vis', '-walls', '-contrast', '50']\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 21,
       "text": [
        "<subprocess.Popen at 0x107f23590>"
       ]
      }
     ],
     "prompt_number": 21
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# When done, render the video"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "s.render_video(duration=0.5, contrast=70, fps=60, cmap=2)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 7
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Render the audio to measure phase shifts, interference and rms"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fut = s.render_wav(duration=0.5, resample=88200, split=True)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 10
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "fut.result()\n",
      "# the results are sorted first by Y, then by X. My mistake here, 1st and 2nd receiver are swapped"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "Calling Lamda as: ['/Applications/Lambda.app/Contents/MacOS/Lambda', '-rce', '-exit', '-file', '/Users/em/proj/simulations/woodwind/ww1.sim', '-iterations', '133566']\n",
        "saving channel 0 to /Users/em/proj/simulations/woodwind/ww1-recv0-363x77.wav\n",
        "saving channel 1 to /Users/em/proj/simulations/woodwind/ww1-recv1-772x76.wav\n",
        "saving channel 2 to /Users/em/proj/simulations/woodwind/ww1-recv2-996x96.wav\n"
       ]
      },
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 11,
       "text": [
        "['/Users/em/proj/simulations/woodwind/ww1-recv0-363x77.wav',\n",
        " '/Users/em/proj/simulations/woodwind/ww1-recv1-772x76.wav',\n",
        " '/Users/em/proj/simulations/woodwind/ww1-recv2-996x96.wav']"
       ]
      }
     ],
     "prompt_number": 11
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Plot the results (Sonic Visualizer)\n",
      "\n",
      "The results are ordered from left (top) to right (botton). Here you see that the leftmost hole is by far were most of the emission is taking place, more than 20dB louder than at the right ending of the instrument."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Image(\"./ww1-rms.png\")"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "png": 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eHz3lPS97LntJeV3yeust5p3qPe8j7JPkM+sr6JvoO+Mn6JfoN+sv5J/kPxcg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\nhADaGo8UCmF6ggAu/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       "prompt_number": 12,
       "text": [
        "<IPython.core.display.Image at 0x107f23550>"
       ]
      }
     ],
     "prompt_number": 12
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Phase shift\n",
      "\n",
      "The normalized soundpressure waves show the phase shifting of the wave across the instrument as well as some resonance at the 1/4 lambda and some comb filtering. "
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "Image(\"./ww1-phase.png\")"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "png": 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eHz3lPS97LntJeV3yeust5p3qPe8j7JPkM+sr6JvoO+Mn6JfoN+sv5J/kPxcg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\nQmCC\n",
       "prompt_number": 14,
       "text": [
        "<IPython.core.display.Image at 0x107f235d0>"
       ]
      }
     ],
     "prompt_number": 14
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Video rendering"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "HTML(\"\"\"\n",
      "<video controls id=\"ww1\">\n",
      "<source src=\"https://dl.dropboxusercontent.com/u/264776/web/luftzug/ww1.webm\">\n",
      "<source src=\"https://dl.dropboxusercontent.com/u/264776/web/luftzug/ww1.mp4\">\n",
      "\n",
      "</video>\n",
      "<script type='text/javascript'> \n",
      "document.getElementById('ww1').playbackRate = 2;\n",
      "document.getElementById('ww1').defaultPlaybackRate = 2;\n",
      "</script>\n",
      "\n",
      "\"\"\")"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "\n",
        "<video controls id=\"ww1\">\n",
        "<source src=\"https://dl.dropboxusercontent.com/u/264776/web/luftzug/ww1.webm\">\n",
        "<source src=\"https://dl.dropboxusercontent.com/u/264776/web/luftzug/ww1.mp4\">\n",
        "\n",
        "</video>\n",
        "<script type='text/javascript'> \n",
        "document.getElementById('ww1').playbackRate = 2;\n",
        "document.getElementById('ww1').defaultPlaybackRate = 2;\n",
        "</script>\n",
        "\n"
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 22,
       "text": [
        "<IPython.core.display.HTML at 0x107f23990>"
       ]
      }
     ],
     "prompt_number": 22
    }
   ],
   "metadata": {}
  }
 ]
}