{ "cells": [ { "cell_type": "markdown", "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "source": [ "# Running simulations in parallel\n", "\n", "In this tutorial we show how the number of threads can be specified when simulations are executed in parallel. We start by defining a simple system object." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import discretisedfield as df\n", "import micromagneticmodel as mm\n", "\n", "import oommfc as mc\n", "\n", "region = df.Region(p1=(-50e-9, -50e-9, 0), p2=(50e-9, 50e-9, 10e-9))\n", "mesh = df.Mesh(region=region, cell=(5e-9, 5e-9, 5e-9))\n", "\n", "system = mm.System(name=\"mindriver_steps\")\n", "\n", "system.energy = mm.Exchange(A=1e-12) + mm.Zeeman(H=(0, 0, 1e5)) + mm.Demag()\n", "system.dynamics = mm.Precession(gamma0=mm.consts.gamma0) + mm.Damping(alpha=0.5)\n", "system.m = df.Field(mesh, nvdim=3, value=(1, 0, 0), norm=1.1e6)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We are now going to drive the system using `TimeDriver` for $2\\,\\text{ns}$ and save the magnetisation in 200 steps. When we pass those arguments to the `drive` method, we can also specify `n_threads`. `n_threads` is a positive `int` which specifies how many threads are going to be used in simulation." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Running OOMMF (ExeOOMMFRunner)[2025-02-02T14:32:22]... (1.3 s)\n" ] } ], "source": [ "td = mc.TimeDriver()\n", "td.drive(system, t=2e-9, n=200, n_threads=4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can finally plot the magnetisation." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "editable": true, "slideshow": { "slide_type": "" }, "tags": [] }, "outputs": [ { "data": { "image/png": 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", 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