{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Example of parallel Proper Orthogonal Decomposition\n", "This notebook is an example on how to perform proper orthogonal decomposition in parallel using pyLOM. First of all, let's import the needed libraries" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "0 Warning! Import - NVTX not present!\n" ] } ], "source": [ "from __future__ import print_function, division\n", "\n", "import mpi4py\n", "mpi4py.rc.recv_mprobe = False\n", "\n", "import numpy as np\n", "import pyLOM" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then we will detect the GPU configuration of our hardware to check if we can run the POD on the GPU or we have to use CPUs. In case we are using GPUs, we need to specify how many GPUs are available on our machine or on each computing node of our cluster" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "0 Warning! cupy not available! GPU version deactivated!\n" ] } ], "source": [ "pyLOM.gpu_device(gpu_per_node=4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now it's time to specify the path to the pyLOM dataset from which we'll be loading the data to perform POD and the variable we will decompose. Although all pyLOM functionalities need a np.ndarray as input argument, it is highly recommended to the data using the pyLOM dataset format because it manages the data in parallel straightaway" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "## Parameters\n", "DATAFILE = '../../../Testsuite/DATA/CYLINDER.h5'\n", "VARIABLE = 'VELOC'\n", "\n", "## Data loading\n", "m = pyLOM.Mesh.load(DATAFILE)\n", "d = pyLOM.Dataset.load(DATAFILE,ptable=m.partition_table).to_gpu([VARIABLE]) # Send to GPU if available\n", "X = d[VARIABLE]\n", "t = d.get_variable('time')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The next step is already performing the proper orthogonal decomposition of the array X. In this case we activate the flag to mean-center the data before doing POD and we'll compute the full matrices as it is the default option from pyLOM:" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "PSI,S,V = pyLOM.POD.run(X,remove_mean=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, we can truncate the POD matrices depending on the singular values which we want to keep. We can use three different truncation criteria as the smallest singular value that we want to mantain, how many modes we want the reduced system to keep or the energy percentage that we want to conserve. If r >= 1, it is treated as the number of modes, if r < 1 and r > 0 it is treated as the residual target and finally if r < 1 and r < 0 it is treated as the fraction of cumulative energy to retain.\n", "In this case we'll retain all the modes with a singular value larger than 5e-6." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "PSI,S,V = pyLOM.POD.truncate(PSI,S,V,r=5e-6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Instead of computing the full POD matrices and then truncate the results, we can also perform randomized POD straightaway to save some computational time and memory resources. To do so, we must activate the randomized flag of the POD.run function, specify the number of modes that we want to compute and the number of power iterations (recommended between 1 and 3). " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "PSI,S,V = pyLOM.POD.run(X,remove_mean=True,randomized=True,r=8,q=3) # PSI are POD modes" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "After that we can reconstruct the data using the truncated or randomized modes to assess the effect of reducing the number of modes on the total flow field dynamics" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "RMSE = 3.572839e-05\n" ] } ], "source": [ "X_POD = pyLOM.POD.reconstruct(PSI,S,V)\n", "mean = pyLOM.math.temporal_mean(X)\n", "X_PODm = pyLOM.math.subtract_mean(X_POD, -1*mean)\n", "rmse = pyLOM.math.RMSE(X_PODm,X)\n", "pyLOM.pprint(0,'RMSE = %e'%rmse)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The spatial modes can then be visualized using either pyVista (when working locally and in serial) or saved to a vtkhdf file that can be read using ParaView. The first step is adding the spatial modes as a new variable to the pyLOM dataset:" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "d.add_field('spatial_modes_U',6,pyLOM.POD.extract_modes(PSI,1,len(d),modes=[1,4,6,2,5,3]))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And then save them in ParaView format" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/benet/.local/lib/python3.9/site-packages/pyvista/jupyter/notebook.py:58: UserWarning: Failed to use notebook backend: \n", "\n", "No module named 'trame.ui.vuetify'\n", "\n", "Falling back to a static output.\n", " warnings.warn(\n" ] }, { "data": { "image/png": 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "pyLOM.io.pv_writer(m,d.to_cpu(['spatial_modes_U']),'modes',basedir='out/modes',instants=[0],times=[0.],vars=['spatial_modes_U'],fmt='vtkh5')\n", "pyLOM.POD.plotSnapshot(m,d.to_cpu(['spatial_modes_U']),vars=['spatial_modes_U'],instant=0,component=0,cmap='seismic',cpos='xy')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then we can also visualize the reconstruction using only the truncated modes using the same workflow:" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/home/benet/.local/lib/python3.9/site-packages/pyvista/jupyter/notebook.py:58: UserWarning: Failed to use notebook backend: \n", "\n", "No module named 'trame.ui.vuetify'\n", "\n", "Falling back to a static output.\n", " warnings.warn(\n" ] }, { "data": { "image/png": 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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "d.add_field('VELOR',2,X_PODm)\n", "pyLOM.io.pv_writer(m,d.to_cpu(['VELOC','VELOR']),'flow',basedir='out/flow',instants=np.arange(t.shape[0],dtype=np.int32),times=t,vars=['VELOC','VELOR'],fmt='vtkh5')\n", "pyLOM.POD.plotSnapshot(m,d.to_cpu(['VELOR']),vars=['VELOR'],instant=0,component=0,cmap='jet',cpos='xy')" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.9.15" } }, "nbformat": 4, "nbformat_minor": 2 }