We want gnuplot to give us a heatmap of these values every 5 timesteps from 0 to 500, so we can visualize the heat spreading outward from the center of the domain. We can use awk to parse it (right now the output is 40,500 lines). In the above, heat-sample.inp shows the input file, and output.txt shows the output. We are going to run my C program and ask for the temperatures of each point on the grid for 500 timesteps. So essentially I want to illustrate to you here how heat spreads out from a single constant heatpoint in a 2D domain, as modeled by my own code for simplicity, lets make our domain a 9x9 grid where the center point (4,4) has a constant temperature value of 10 units. I used a module containing a derived-type 3D array and I/O subroutines. I did this in C somewhat kludgily with a 2D struct and a 3D array, using separate functions for I/O. #Gnuplot animation updateWe were to achieve this using stencil updates as an example, an interior update example from timestep t to timestep t+1 is shown below for the point e).īasically, it allows us to roughly model solutions to a parabolic partial differential equation that describes the way heat spreads through a 2D domain over time (shown above), without violating special relativity (I promise there's a pretty picture at the end of this post). The assignment was to use each language to write a program that discretizes and solves the heat equation in two dimensions: Get at least v4.6 if you want full functionality I was really impressed with these improvements. #Gnuplot animation how toSo, having just completed a final project for my C/Fortran programming course, and as other deadlines loom like so much Damoclean cutlery, I just can't quit tinkering with gnuplot! I just wasted devoted 2+ hours to figuring out how to generate an animated GIF from a textfile wait till the end of the post before passing judgment, but for comparison, my wife constructed a gorgeous dress in less time…įirst of all, if you use gnuplot and haven't updated in a while, look into it. As the semester draws to a close, assignments have this way of becoming suddenly due and needing immediately to be done… while everything else, literally anything besides these assignments has this perverse way of becoming, in equal measure, more enticing, distracting, rewarding…
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