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Heat conduction around the FEAScript logo (mesh generated by Gmsh, solved with FEAScript)
FEAScript is a finite element simulation library developed in JavaScript. It enables engineering simulations across both browser-based and server-side environments without
the overhead of traditional desktop software.
🎯
Our goal is to provide the most powerful JavaScript API for FEM. We are closing the
gap between complex computational mechanics and the accessibility of the web, empowering developers to
build professional-grade simulation tools that work on any device, anywhere.
INDUSTRY CASE STUDY
Better Building initially leveraged FEAScript to develop an
online
Heat Transfer Simulator
for architects and engineers, with later versions evolving into a custom implementation using finite
difference methods.
You can run simulations with FEAScript by calling its functions from JavaScript (the FEAScript API). The
API offers full programmatic control and works across multiple environments, including the browser
(simple HTML pages and online JavaScript playgrounds, e.g.
CodePen
and
Scribbler) and server-side runtimes such as
Node.js.
QUICK START
The example below demonstrates a simulation workflow: steady-state heat conduction in a 2D rectangular fin with a circular hole, solved using a Gmsh-generated mesh. Create an HTML file with the code below to run the simulation. See the tutorials section for more examples.
<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<title>Heat Conduction in a 2D Fin with a Hole</title>
<script src="https://cdnjs.cloudflare.com/ajax/libs/mathjs/11.12.0/math.min.js"></script>
<script src="https://cdnjs.cloudflare.com/ajax/libs/plotly.js/2.35.3/plotly.min.js"></script>
</head>
<body>
<div id="resultsCanvas"></div>
<script type="module">
// Import FEAScript library
import {
FEAScriptModel,
importGmshMesh,
plotInterpolatedSolution,
} from "https://core.feascript.com/dist/feascript.esm.js";
window.addEventListener("DOMContentLoaded", async () => {
// Fetch mesh from GitHub Gist (swap the URL for any other hosted .msh file)
const response = await fetch(
"https://gist.githubusercontent.com/nikoscham/0c5a78922a16111ceef42de54fc631ea/raw/aeadcd2808f5531fd0ca1ca16d198f7d1e7f8e96/rect_with_hole.msh"
);
const meshFile = new File([await response.text()], "rect_with_hole.msh");
// Create and configure model
const model = new FEAScriptModel();
model.setModelConfig("heatConductionScript");
model.setMeshConfig({
parsedMesh: await importGmshMesh(meshFile),
meshDimension: "2D",
elementOrder: "quadratic",
});
// Apply boundary conditions (Gmsh physical group tag - 1)
model.addBoundaryCondition("0", ["constantTemp", 200]); // Bottom
model.addBoundaryCondition("1", ["constantTemp", 200]); // Right
model.addBoundaryCondition("2", ["convection", 1, 20]); // Top
model.addBoundaryCondition("3", ["symmetry"]); // Left
model.addBoundaryCondition("4", ["convection", 1, 20]); // Hole surface
// Solve
model.setSolverMethod("lusolve");
const result = model.solve();
// Plot results
plotInterpolatedSolution(model, result, "contour", "resultsCanvas");
});
</script>
</body>
</html>
The following list highlights key FEAScript features:
(.msh file format)
)
)
and
Scribbler)
)
🚧
FEAScript is currently under heavy development with new features being added regularly.
See the roadmap for the next major release:
0.3.0
Interested in contributing? Check out our
contribution guidelines
to get started.
Below you can explore tutorials that provide a step-by-step introduction to FEAScript. These tutorials
show how to use the FEAScript API directly by writing JavaScript code, either to integrate finite
element simulations into your own websites and applications or to run them in interactive JavaScript
playgrounds such as
CodePen
and
Scribbler. Each tutorial include different variations that demonstrate the same physical problem under different
configurations, ranging from simple examples to advanced setups using external meshes or multiple
threads.
1D steady-state scalar transport governed by the advection-diffusion equation with a localized Gaussian source term
2D steady-state heat conduction in a cooling fin with mixed boundary conditions including constant temperature, symmetry, and convective cooling
1D steady-state heat conduction across a wall with convection boundary condition at one end and constant temperature at the other
Stokes flow in a square 2D cavity driven by a moving lid, with velocity and pressure fields resolved
Transient simulation of a solidification front advancing through a 2D domain using the eikonal equation
Please report any feedback on the tutorials above to the GitHub Discussions or Issues.
The documentation for FEAScript is currently under development. In the meantime, for information on the numerical methods used in FEAScript and other technical resources, please visit the FEAScript blog.
SUPPORT FEASCRIPT
💖 If you find FEAScript useful, please consider supporting its development:
The core library of FEAScript is distributed under the terms of the MIT license. This website is licensed under the Creative Commons Attribution 4.0 License.