{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# MHKit Upcrossing Analysis Example\n", "\n", "The following shows an example of using the upcrossing functionality in the [MHKiT Utils module](https://mhkit-software.github.io/MHKiT/mhkit-python/api.utils.html).\n", "\n", "This example performs an upcrossing analysis on a surface elevation trace to plot some quantities of interest. Such an upcrossing analysis could be applied to any time domain signal, such as a device response." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "from mhkit.wave.resource import jonswap_spectrum, surface_elevation\n", "from mhkit.utils import upcrossing, peaks, troughs, heights, periods\n", "import numpy as np\n", "import matplotlib.pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Compute the surface elevation" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "# Peak period and significant wave height\n", "Tp = 10 # s\n", "Hs = 2.5 # m\n", "gamma = 3.3\n", "\n", "# Create frequency vector using a return period of 1hr\n", "Tr = 3600 # s\n", "df = 1.0 / Tr # Hz\n", "f = np.arange(0, 1, df)\n", "\n", "# Calculate spectrum\n", "spec = jonswap_spectrum(f, Tp, Hs, gamma)\n", "\n", "# Calculate surface elevation\n", "fs = 10.0 # Hz\n", "t = np.arange(0, Tr, 1 / fs)\n", "\n", "eta = surface_elevation(spec, t)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure()\n", "plt.plot(t, eta)\n", "plt.xlabel(\"t [s]\")\n", "plt.ylabel(\"$\\eta$ [m]\")\n", "plt.title(f\"Surface elevation for Tp={Tp}s, Hs={Hs}m\")\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plot the individual wave heights and periods" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "heights = heights(t, eta.values.squeeze())\n", "periods = periods(t, eta.values.squeeze())\n", "\n", "plt.figure()\n", "plt.plot(periods, heights, \"o\")\n", "plt.xlabel(\"Zero crossing period [s]\")\n", "plt.ylabel(\"Wave height [m]\")\n", "plt.grid()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Plot the crest probability of exceedance distribution" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "crests = peaks(t, eta.values.squeeze())\n", "crests_sorted = np.sort(crests)\n", "\n", "N = crests_sorted.size\n", "\n", "# Exceedance probability. Crests are in ascending order\n", "# meaning the first element has P(exceedance) = 1, and\n", "# the final element has P(exceedance) = 1 / N\n", "Q = np.arange(N, 0, -1) / N\n", "\n", "plt.figure()\n", "plt.semilogy(crests_sorted, Q, \"o\")\n", "plt.xlabel(\"Crest height [m]\")\n", "plt.ylabel(\"P(exceedance)\")\n", "plt.grid()\n", "plt.show()" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.11.7" } }, "nbformat": 4, "nbformat_minor": 2 }