{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# `psiclone.util` モジュール\n", "\n", "`psiclone` には,複雑な形状の入力空間データを取り扱うための\n", "`psiclone.util`\n", "モジュールが用意されています.その主な関数は以下のとおりです:\n", "\n", "- `psiclone.util.convert.convert_array_to_geometry()` ……\n", " 欠損のある表形式グリッドデータの多重連結領域への変換\n", "- `psiclone.util.mcdomain.mcdomain_to_geometry()` ……\n", " 欠損のあるグリッドデータの多重連結領域への変換\n", "\n", "いずれも,入力空間が多重連結領域である場合を想定した作りになっています.ただし,欠損がないシンプルな単連結長方形状の入力空間を取り扱うときは\n", "`GrayscaleImage` の利用を検討してください.\n", "\n", "| | `GrayscaleImage()` | `convert_array_to_geometry()` | `mcdomain_to_geometry()` |\n", "|--------------|----------------|------------------------|-------------------|\n", "| 入力空間 | 単連結長方形領域 | 多重連結長方形領域 | 多重連結領域 |\n", "| グリッド型 | 一様格子(座標が整数) | 非一様格子(非整数座標を許す) | 一様格子(座標が整数) |\n", "| 適した流れ | 一様流れ/有界流れ | 一様流れ/有界流れ | 有界流れ |\n", "| 変換元のデータ形式 | 二次元配列 (画像) | $x,y,\\psi(x,y)$ が並ぶ表データ | 二次元配列 |\n", "| 内部障害物(境界) | 未対応 | 障害物代表点をユーザが指定 | 障害物は自動判定 |\n", "| 欠損・マスク対応 | 未対応 | 対応 | 対応 |\n", "| $\\psi$ の境界値 | ユーザが指定 | `numpy.average` で自動計算 | オプションで計算方法を指定 |\n", "\n", "いずれの方法にもそれぞれメリット・デメリットがあり,状況に応じて適切な選択が必要です.\n", "特に,TFDA\n", "では境界の扱いが重要であり,その設定を間違えると思ったとおりの解析結果が出ません.\n", "`util`\n", "モジュールの関数群は,いずれも簡易的な解析のために用意された関数に過ぎず,個別の状況に応じた境界条件の検証が重要となります.\n", "また,さらに複雑な幾何形状を持つ入力データ空間を扱いたい場合は,[メッシュ構造データの扱い方](./mesh2d.qmd)も参照してください." ], "id": "1631110a-15e0-4ead-90ae-6f7a34b32db4" }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "import numpy" ], "id": "bd38f444" }, { "cell_type": "markdown", "metadata": {}, "source": [ "## `psiclone.util.convert` を用いて一様流れを解析する場合\n", "\n", "`psiclone.util.convert.convert_array_to_geometry()`\n", "関数を用いて,中心に障害物が一つ置かれている問題設定で `(x, y, z)`\n", "が複数並ぶ入力データを読み込み,一様流れの COT 表現に変換します." ], "id": "b93bab84-2049-4913-bec1-312454be490e" }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "import psiclone.visualization as vis\n", "from psiclone.psi2tree import Psi2tree" ], "id": "7a3e7c5b" }, { "cell_type": "markdown", "metadata": {}, "source": [ "ここでは,入力空間は非有界な円除外領域とします.ただし,非有界といっても,適当な長方形領域で打ち切って有界にしたものを考えます." ], "id": "31fc7f6e-59b5-47ae-b16b-d8b0a892f553" }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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} } ], "source": [ "y, x = numpy.mgrid[-3:3:101j, -3:3:101j]\n", "z = x + y * 1j\n", "flow_domain = numpy.abs(z) >= 1.0\n", "obstacle_domain = ~flow_domain\n", "\n", "plt.imshow(flow_domain, cmap=\"gray\", origin=\"lower\")" ], "id": "efdff4e6" }, { "cell_type": "markdown", "metadata": {}, "source": [ "mesh grid を作成して,虚数単位 `1j` を用いて複素変数\n", "$z = x + y\\sqrt{-1}$\n", "を用意しました.円形の障害物が中央にある流れ領域として\n", "$\\{z : \\left|z\\right| \\ge 1\\}$ を考えています.\n", "\n", "その上のデータを表現するには,`numpy.ma.masked_array`\n", "を利用すると便利です.これは,データ欠損領域をマスクを用いて指定できる特殊な配列です.データ欠損領域がある以外は,通常の\n", "`numpy.ndarray` と同様に扱うことが可能です.さて,複素変数 $z$ と\n", "`masked_array` を用いて,次のように流線関数を用意します." ], "id": "7c70bcaf-6890-4436-a4d4-ac0175123fc9" }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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q3bxptNbl4Nebc9pR7bKhJvO3wj7xShDTEdWF7Mwzz8RvfvMb1NXVQa/Xw+fz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\nAABJRU5ErkJggg==\n" } } ], "source": [ "z = numpy.ma.masked_array(z, obstacle_domain)\n", "W = z + 1.0 / z\n", "data = numpy.imag(W)\n", "plt.imshow(data, cmap=\"coolwarm\", origin=\"lower\")\n", "plt.contour(data, colors=\"k\")" ], "id": "84734067" }, { "cell_type": "markdown", "metadata": {}, "source": [ "これで,円形障害物の周りを流れる一様流のテストデータが作れました.これを\n", "`Geometry` に変換していきます." ], "id": "a8d34e7f-aa00-4fe9-a904-a749402101a7" }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/plain": [ "(10201, 3)" ] } } ], "source": [ "table = numpy.ma.masked_array([x, y, data]).reshape((3, -1)).T\n", "table.shape" ], "id": "73b162db" }, { "cell_type": "markdown", "metadata": {}, "source": [ "障害物のある一様流の設定で `Geometry` を構成するユーティリティ関数\n", "`psiclone.util.convert.convert_array_to_geometry()`\n", "を用います.そのために,まず $x, y, \\psi(x,y)$ が並んだ $N \\times 3$\n", "の表データをマスクした配列として用意しました.(マスク配列の代わりに,`nan`\n", "を用いてデータ欠損領域を表現したデータや,単純にデータ欠損領域のエントリーを含まない表データでも構いません.)\n", "\n", "この関数には,色々なオプション引数がありますが,ここでは障害物を指定する引数\n", "`obstacles`\n", "に一つの障害物の座標だけを指定します.各障害物ごとに代表点の座標を一つだけ指定すれば十分です.この例では原点を指定しています." ], "id": "a7019d6d-eaeb-4004-8375-a360a2efb794" }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/plain": [ "(<psiclone.data.geometry.Geometry at 0x7f649ba58c20>, 9325, 18476)" ] } } ], "source": [ "from psiclone.util.convert import convert_array_to_geometry\n", "\n", "geom = convert_array_to_geometry(table, obstacles=[(0, 0)])\n", "geom, len(geom.nodes), len(geom.edges)" ], "id": "ef778578" }, { "cell_type": "markdown", "metadata": {}, "source": [ "これで入力空間のデータが用意できました.構成した `geom`\n", "が上と同じデータになっているか,確認してみましょう." ], "id": "c816445b-c925-49c3-992b-724a96914d33" }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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i27gEtnyJyaeF22k9VxXNyyXPOcnptqwqDSafi9DsuTZ6706rG9/5iYiIWsaB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\nyIiIyGn/H2ljisboR8tNAAAAAElFTkSuQmCC\n" } } ], "source": [ "vis.draw_geometry(geom, bitmap=True)" ], "id": "39fdc1b0" }, { "cell_type": "markdown", "metadata": {}, "source": [ "よく見ると,障害物の中央に指定した代表点が描かれていることに注意してください.このピクセルは,内部境界の境界データの平均値で描かれています.障害物ノードの属性値を確認してみましょう.障害物ノードは\n", "`geotype` として `2` (`Geotype.OTHRES`) 以上の値が設定されます." ], "id": "db9d3a30-2a6d-43e1-8346-018a5b05116e" }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/plain": [ "Point(id=9324, level=np.float64(-1.1825031694575236e-16), x=0, y=0, geotype=2, order=nan)" ] } } ], "source": [ "from psiclone.data import Geotype\n", "\n", "obstacle_node = next(node for node in geom.nodes if node.geotype >= Geotype.OTHERS)\n", "obstacle_node" ], "id": "de8fb26b" }, { "cell_type": "markdown", "metadata": {}, "source": [ "障害物ノードの `level` 値が $0$ に近いことが確認できます.ぴったり $0$\n", "でないのは,離散化の影響です.内部境界の格子点上の流線関数値の平均値として設定されているため,このように微小な誤差が発生します.\n", "\n", "`convert_array_to_geometry`\n", "では,境界条件(流線関数の境界値)を事前に指定することはできません.もし入力データが数値計算などで得たもので,具体的な境界データが事前に分かる場合には,追加された境界ノードの\n", "`level`\n", "値を適切に設定するべきです.この値が理想的な境界条件からかけ離れている場合,この境界近傍の流れを表現する適切な\n", "COT\n", "表現が計算できない場合がありますので,注意してください.もちろん,データの解像度が十分であれば,実用上は微小な誤差を無視しても構いません." ], "id": "b6a87c70-8b69-4c47-a93f-30ab59399cd3" }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "obstacle_node.level = 0.0 # 厳密な境界データが分かるので設定し直しておく(任意)" ], "id": "3643b75a" }, { "cell_type": "markdown", "metadata": {}, "source": [ "これで,一通り入力空間データ `geom` の準備が整いました.`Psi2tree` で\n", "COT 表現を計算してみましょう." ], "id": "349c70a7-a93c-4b77-8c75-db5cc4c7fdfb" }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "psi2tree = Psi2tree(geom, threshold=0.0)\n", "psi2tree.compute()" ], "id": "e2cd286c" }, { "cell_type": "markdown", "metadata": {}, "source": [ "計算が終わったら,結果を `get_tree` メソッドで取得します.`get_tree`\n", "で取得できる木構造データを,さらに `convert`\n", "メソッドを用いて,人が読みやすい形式に変換します." ], "id": "bc19b8b9-3697-4f2d-929d-8a20329acf6c" }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "text/plain": [ "'a0(a2(L+,L-))'" ] } } ], "source": [ "from psiclone.cot import to_str\n", "\n", "psi2tree.get_tree().convert(to_str)" ], "id": "b3acba5c" }, { "cell_type": "markdown", "metadata": {}, "source": [ "記号 `a2`\n", "が,中央の障害物にぶつかる流れを表しています.無事,中央に障害物が一つ存在する一様流れのデータを表現できたことが分かります.\n", "\n", "## `psiclone.util.mcdomain` を用いて有界流れを解析する場合\n", "\n", "次は `psiclone.util.mcdomain.mcdomain_to_geometry()`\n", "関数を用いて多重連結領域を構成する例を見ます.`mcdomain` は multily\n", "connected domain\n", "(多重連結領域)の頭文字をとっています.先ほどと同じ要領で,今度は円環領域を入力空間に用います." ], "id": "5b778f61-abc4-4854-928e-b64f1fdb1b4f" }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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Ssq2srEyxWGzUY61cuVKhUCjZKioq/O4uAMA4X4Ps448/1sMPP6ynnnpq1P3hcFh9fX0p\n23p7exUOh0d9fUtLizzPS7ZoNOpnd5GHmM7KHs49ssXXey2+8847ikajmjFjRsr2W265Rd///vdV\nV1enjRs3puzr6OhQfX39qMcrLi5WcXGxn10EAOSZgPPxn0+e5+ngwYMp26ZMmaKXXnpJ1113nfr7\n+3XppZdq9erVWrx4sf72t7/ppptu0jPPPKOmpqYxjx+PxxUKhU64n38JYjgWAGUW7z8MN9b7z/M8\nBYNBX36XryOyY7Ws41VWVqq8vFzl5eV64403dPfdd+uee+5RVVWVHnnkkVMKMQAARuPriCzdGJHh\nTDBC8xfvN5xMJkdk3KIKAGAaQQYAMI0gAwCY5utiDyCXHV/ToWY2PtTEkKsYkQEATCPIAACm5dXU\n4vFTRUyF4GSGXx9MM46O9xBOVTbfQ4zIAACmEWQAANMIMgCAaXlVIwNO11i1oHytoVEDQz5gRAYA\nMI0gAwCYRpABAEyjRgacgvHUkrJdT6PuhULDiAwAYBpBBgAwjalFwGdM7QGZxYgMAGAaQQYAMI0g\nAwCYltc1Mh7rAgDpke2vmQzHiAwAYBpBBgAwjSADAJhGkAEATCPIAACmEWQAANPyevn98YYvF2Up\nPgCMTy4tuR+OERkAwDSCDABgGkEGADCNIAMAmEaQAQBMI8gAAKYRZAAA0wrqe2TD8YgXADi5XP3e\n2PEYkQEATCPIAACmEWQAANMIMgCAaQQZAMA0ggwAYFrBLr8/HsvxARQ6K8vtj8eIDABgGkEGADCN\nIAMAmEaQAQBMI8gAAKYRZAAA01h+fwLDl6GyFB9AvrK65H44RmQAANMIMgCAaQQZAMA0ggwAYBpB\nBgAwjSADAJhGkAEATON7ZKeAR7wAyBf58L2x4zEiAwCYRpABAExjavE0MNUIwIp8nEo8HiMyAIBp\nvgZZc3Ozpk+frnA4rPPPP18LFizQ/v37U17z6aefat68eSopKVFlZaWWL1+uI0eO+NkNAEAB8TXI\nAoGA2tra1NPTo3/84x8KBAK66aabkvsTiYTmzZun8vJy/etf/9L777+vt99+W/fee6+f3QAAFJCA\nS2OBp6urS/X19Tp48KDKysq0Y8cOXXvttfr8889VWVkpSdq4caNuu+02RaNRTZw48aTHi8fjCoVC\n6equL6iXAcg2C3Uxz/MUDAZ9OVZaa2Rvvvmmpk6dqrKyMklfBVtNTU0yxCSpoaFBnufpo48+GvHz\ng4ODisfjKQ0AgOHSFmRbt27VQw89pN/85jfJbbFYTJFIJOV1x0IuFouNOMbKlSsVCoWSraKiIl3d\nBQAYlZYg27Rpk2699VY9//zzuv7665Pbw+Gw+vr6Ul7b29ub3He8lpYWeZ6XbNFoNB3dBQAY5vv3\nyF544QUtXbpUf/jDHzR37tyUfXV1dfrkk08UjUaTo6uOjg6FQiFdcsklI45VXFys4uJiv7sIAMgj\nvo7InnjiCS1fvlybNm0aEWKSNHv2bH3jG9/QT3/6U/X39+vTTz/Vz3/+cy1evHjMhR4AAIzG11WL\ngUBARUVFOuecc1K2/+Uvf9Hs2bMlSfv27dPSpUu1Y8cOnXPOOVqwYIFWr1494mdGw6pFABhboa1a\nTOvye79ZCLLjGTq9AIyyEFzHM7P8HgCAdCPIAACmEWQAANN4jEua8cgXAH6zWBNLJ0ZkAADTCDIA\ngGkEGQDANGpkGTZ8bpt6GYBTRV3sxBiRAQBMI8gAAKYxtZhFLM0HcCJMJZ46RmQAANMIMgCAaQQZ\nAMA0amQ5hJoZULioiZ0+RmQAANMIMgCAaQQZAMA0amQ5jNtZAfmNupg/GJEBAEwjyAAApjG1aARL\n8wH7mEpMD0ZkAADTCDIAgGkEGQDANGpkRlEzA3IfNbHMYEQGADCNIAMAmEaQAQBMo0aWJ042F0/9\nDEgf6mDZx4gMAGAaQQYAMI2pxQLAUn3AP0wl5h5GZAAA0wgyAIBpBBkAwDRqZAWIJ08D40NdLLcx\nIgMAmEaQAQBMI8gAAKZRIytwY839U0NDIaAGZhsjMgCAaQQZAMA0phZxUtxVH/mC6cP8xYgMAGAa\nQQYAMI0gAwCYRo0Mp436GXINdbDCxIgMAGAaQQYAMI0gAwCYRo0MacGtr5AO1MAwGkZkAADTCDIA\ngGlMLSIrWLqPE2H6EOPFiAwAYBpBBgAwjSADAJhGjQw550xqJNTXcgN1LmQSIzIAgGkEGQDANIIM\nAGAaNTLkldOtzVBbGx21LljAiAwAYFrGg8w5p9bWVlVXV2vSpEm6+uqrtXv37kx3AwCQJzIeZKtW\nrdIzzzyjLVu2qKenRzNnztTcuXP1xRdfZLorQFIgEKCN0gATXIZNmzbNrVmzJvnnwcFBV1lZ6Z57\n7rkRrz1y5IjzPC/ZotGok0Sj0Wg0483zPN9yJaMjskOHDmnv3r1qbGxMbisqKlJ9fb06OztHvH7l\nypUKhULJVlFRkcnuAgAMyGiQxWIxSVIkEknZXlZWltw3XEtLizzPS7aenp5MdBMAkGbOx5XCGQ2y\ncDgsSerr60vZ3tvbm9w3XHFxsYLBYLIxZw8A+WFgYMC3Y2X0e2SlpaWaNm2a3nvvPV155ZWSpKGh\nIXV1den2228f8+cjkYii0aicc6qsrFQ0GlUwGEx3t02Kx+OqqKjgHI2B8zQ2ztHYOEdjO3aOenp6\nFAgERszMnYmMfyF66dKlWrVqlebMmaPa2lr94he/UHFxsebPnz/mz5511lkqLy9XPB6XpORIDSfG\nOTo1nKexcY7GxjkaWygU8v0cZTzIfvazn6m/v1/XXnutYrGYvv3tb2vz5s0699xzM90VAEAeCDg/\nK24ZEo/HFQqF5Hke//o5Ac7RqeE8jY1zNDbO0djSeY5M3qKqqKhIra2tKiriVpEnwjk6NZynsXGO\nxsY5Gls6z5HJERkAAMeYHJEBAHAMQQYAMI0gAwCYRpABAEwzF2SO55mlaG5u1vTp0xUOh3X++edr\nwYIF2r9/f8prPv30U82bN08lJSWqrKzU8uXLdeTIkSz1OPvmz5+vQCCgrVu3Jrdt375dV1xxhUKh\nkC6++GKtW7cuiz3Mnp07d2rOnDkqKSlRJBLRVVddpUQiIUnq7u7W1VdfrUmTJqm6ulorVqwouCdr\nHzhwQLfddpuqqqoUiUR05ZVXaseOHcn9hXgdvfzyy5o9e7bC4bACgYCGhoZS9o913fjyme7bffQz\n5NFHH3UXXnih6+7udp7nuebmZlddXe36+/uz3bWsaG5udh0dHe7w4cOut7fXLViwwF1++eXJ/UeP\nHnXTp093t99+uzt06JDbu3evmz59urvzzjuz1+ks2rBhg7vuuuucJPfWW28555zbu3evC4VC7okn\nnnCHDx9227dvd+Fw2P3pT3/Kcm8z691333WlpaVuw4YN7ssvv3SDg4Nu165dLpFIuFgs5iZPnuya\nm5ud53muu7vbXXDBBe6xxx7Ldrczqqmpyc2aNcv95z//cUNDQ27VqlXu3HPPddFotGCvo82bN7sX\nX3zRPf30006SGxwcTO47levGj890c0E2nueZFaLOzk4nyR08eNA559z27dtdUVGR++9//5t8TXt7\nuwuFQi4ej2erm1mxf/9+N2XKFLdv376UIFuxYoWrq6tLee1PfvITN2fOnGx0M2tmzZrl7rnnnlH3\ntbW1ufPOOy/lQ2rNmjWupqYmU93LCZdddlnK509/f7+T5Hbt2lXw19G2bdtGBNmpXDd+fKabmloc\n7/PMCtGbb76pqVOnqqysTJLU1dWlmpoaVVZWJl/T0NAgz/P00UcfZaubGeec06JFi/TAAw/ooosu\nStnX1dWVck1JX52jQrqmPM/Tu+++qwkTJqixsVEVFRWaMWOGXn31VUlfnaP6+vqUL7M2NDRoz549\noz6CKV/dd999am9v1+eff67BwUGtXbtWtbW1uuyyy7iORjHWdePXZ7qpr6GP93lmhWbr1q166KGH\nkh8+0lfnbLTzdWxfoVi3bp2cc1qyZMmIfbFYTJdccknKtkK7pg4ePKhEIqENGzZo06ZNqq+v1+uv\nv64f/OAH2rFjx5jX0WiPYcpHM2fO1O9//3tVV1drwoQJKi8v12uvvaZgMMh1NIqxrhv3v1rZmX6m\nmxqRjfd5ZoVk06ZNuvXWW/X888/r+uuvT24Ph8Ojnq9j+wrBxx9/rIcfflhPPfXUqPtPdI4K5fxI\nUklJiSRp4cKFamhoUFFRkZqamnTNNdeovb2d60hSIpHQnDlzNHnyZEWjUQ0MDGj9+vW64YYb1NXV\nxXU0irGuG78+000F2fDnmR1z7Hlm9fX1WexZdr3wwgv64Q9/qFdeeWXE43Dq6ur0ySefKBqNJrd1\ndHQoFAqN+NdjvnrnnXcUjUY1Y8YMVVZWJqdZb7nlFi1ZskR1dXUp15T01TkqpGuqtLRUtbW1J3x4\nbV1dnTo7O1NWpHV0dKimpqZgPqh7e3u1Z88e3XnnnSovL1dRUZFuvvlm1dbWasuWLVxHoxjruvHt\nM/1MinvZ8Oijj7opU6a4Dz/80Hme5+6///6CXrX4+OOPu0gk4t5+++1R9x9btfijH/3IxWIxt2/f\nPnf55Ze7O+64I8M9zZ4vv/zS7d+/P6VJci+99FJytVkwGHRPPvmkO3z4sHv77bddaWmpe/XVV7Pd\n9Yxas2aNq6qqcp2dne7o0aNu48aN7pxzznG7du1Krj67//77ned57sMPP3RTpkxxq1evzna3M+rS\nSy91ixcvdocOHXJHjx51f/7zn93ZZ5/t3nrrrYK9joaGhlw8HndbtmxxktwXX3zh4vG4O3r06Cld\nN358ppsLskQi4R588EFXVVXlgsGgmz17tuvu7s52t7JGkisqKnKTJk1KacODbe/eve6GG25wkyZN\ncuXl5W7ZsmVuYGAgi73OPg1btejcVyuu6urq3MSJE93UqVPd2rVrs9i77HnkkUfchRde6M4991xX\nX1/v2tvbk/s++OADN2vWLBcMBl1VVZVrbW11iUQii73NvI8++sjdfPPN7rzzznMlJSXum9/8pvvt\nb3+b3F+I19Gzzz7rJI1o27Ztc86Nfd348ZnO3e8BAKaZqpEBAHA8ggwAYBpBBgAwjSADAJhGkAEA\nTCPIAACmEWQAANMIMgCAaQQZAMA0ggwAYBpBBgAw7f8AUfaTgCB6UNMAAAAASUVORK5CYII=\n" } } ], "source": [ "y, x = numpy.mgrid[-3:3:101j, -3:3:101j]\n", "z = x + y * 1j\n", "flow_domain = numpy.logical_and(numpy.abs(z) >= 1.0, numpy.abs(z) < 3.0)\n", "obstacle_domain = ~flow_domain\n", "\n", "plt.imshow(flow_domain, cmap=\"gray\", origin=\"lower\")" ], "id": "35a1c10c" }, { "cell_type": "markdown", "metadata": {}, "source": [ "この円環領域の上で,テスト用のスカラー関数を定義します.ここでは,外側の境界条件として\n", "$z = 0$ を人為的に課すことにします." ], "id": "028e9917-a490-42d3-a55e-2021c180d596" }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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sFM7fjmLOmm2sO3gSvd7ATyNfpX/zOgDoEo3kZTAYWLfvNDMOXeBmwbUW7uLI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u+mqQ2ZIAis+m0ixflH6T/xE6Jbj6qzIatEYKD8ulIaMj99ETdcmkBxYR5zfvuXjp2d6idh6kx+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\n/sTdvHTVaAa1FQ2uIAisPC7mjw2Ki3CZpylxQe3IRmfuk7WVavg2k7iF7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oOq95du2cO3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etf/DbCzk2PYPadPvmxt+zOvJxXOryEreSqMOL6PxvPIKP/qSAjYseheAwY9/iExe8cyoZfse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\neBCP14uiVZAfEomE7HPZouO4hez2xy1kbiG7Y6hKyLzCfAGwWAV2FRQx50A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} } ], "source": [ "z = x**2 + x + 1.5 * y**2\n", "z *= x**2 + y**2 - 9 # 外側境界条件 z = 0 を強制\n", "data = numpy.ma.masked_array(z, obstacle_domain, fill_value=numpy.nan)\n", "plt.imshow(data, cmap=\"coolwarm\", origin=\"lower\")\n", "plt.contour(data, colors=\"k\")" ], "id": "0fcdaf34" }, { "cell_type": "markdown", "metadata": {}, "source": [ "外側境界値がゼロになるよう `boundary_condition`\n", "オプションで外側境界条件を指定します.`0`\n", "を直接するか,あるいは外側に向かってスカラー値が大きくなるデータなので,`'max'`\n", "を指定しても同じ効果が得られます.離散化によって,しばしば境界周りの流線トポロジーに意図しない微細なノイズが大量に発生します.`'max'`\n", "と `'min'`\n", "はこの離散化の影響を効果的に抑制することができる便利なオプションです.一方で,内側境界周りの流線トポロジーのような特徴的な構造を捉えたい場合,`'max'`\n", "や `'min'` よりも `'average'` や `'mean'`\n", "が便利です.状況に応じて適切な境界条件を指定することが重要です." ], "id": "ca6b3cb6-f423-49d3-beea-8ac6a07a619d" }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "output_type": "stream", "name": "stderr", "text": [ "/opt/build/repo/.venv/lib/python3.12/site-packages/psiclone/util/mcdomain.py:67: UserWarning: Warning: converting a masked element to nan.\n", " nodes = OrderedDict(((i, j), UnionFind(isnan(z))) for i, j, z in zip(x_index, y_index, z))" ] } ], "source": [ "from psiclone.util.mcdomain import mcdomain_to_geometry\n", "\n", "yi, xi = numpy.indices(data.shape)\n", "geom = mcdomain_to_geometry(\n", " xi.ravel(),\n", " yi.ravel(),\n", " data.ravel(),\n", " boundary_condition=[\n", " (Geotype.EXTERIOR, \"max\"), # 外側境界条件, 直接 0 を指定してもよい\n", " (Geotype.OTHERS, \"average\"), # 内側境界条件\n", " ],\n", ")" ], "id": "438bdbab" }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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0mM0xbeZYnEl3Bm1tvERrrmeI9z0qiLvnDbK2R9/HZ5Q8+4Vkl8gmIhR7meoD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\nRU5ErkJggg==\n" } } ], "source": [ "vis.draw_geometry(geom, bitmap=True)\n", "plt.colorbar()" ], "id": "8c57d160" }, { "cell_type": "markdown", "metadata": {}, "source": [ "実際に計算してパーティション図と COT 表現を出力してみます." ], "id": "c885452b-0d9a-42df-a8cd-d03a9f290bf8" }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "output_type": "display_data", "metadata": {}, "data": { "image/png": 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3W7ATz3yIiFro+x0PICzkHBL7bZI6itth8SEiaqG8wmikpE3DuOFr4OdbLHUc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\nkcv9P5YO5tKSaYCrAAAAAElFTkSuQmCC\n" } } ], "source": [ "from psiclone.cot import to_short_tex\n", "\n", "psi2tree = Psi2tree(geom, threshold=1.0)\n", "psi2tree.compute()\n", "title = psi2tree.get_tree().convert(to_short_tex)\n", "\n", "vis.draw_partition(psi2tree, bitmap=True, title=f\"${title}$\")\n", "vis.draw_graph_markers(psi2tree)\n", "vis.draw_COT_labels(psi2tree)" ], "id": "e3835779" } ], "nbformat": 4, "nbformat_minor": 5, "metadata": { "kernelspec": { "name": "python3", "display_name": "Python 3 (ipykernel)", "language": "python", "path": "/opt/build/repo/.venv/share/jupyter/kernels/python3" }, "language_info": { "name": "python", "codemirror_mode": { "name": "ipython", "version": "3" }, "file_extension": ".py", "mimetype": "text/x-python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.3" } } }