Heat Conduction in a 2D Fin Tutorial (Multi-threaded)

This page demonstrates solving the 2D heat conduction fin problem using FEAScript in a web worker for improved browser responsiveness. For the mathematical formulation and theory, see the basic tutorial.

⚠️ Important: Due to security restrictions, this example requires launching the browser with reduced security settings, e.g.:

start chrome --disable-web-security --user-data-dir="C:\tmp\chrome-cors" --disable-site-isolation-trials

These flags temporarily disable CORS restrictions that normally block a web worker from loading scripts or data when running from local files. For production applications, proper CORS headers should be configured on your server.

Web Worker Implementation

The code below shows how to use FEAScript with a web worker. The solution is plotted as a 2D contour.

<body>
  <!-- ...body region... -->
  <script type="module">
    // Import FEAScript library
    import { FEAScriptWorker, plotSolution, printVersion } from "https://core.feascript.com/src/index.js";
    
    window.addEventListener("DOMContentLoaded", async () => {
      // Print FEAScript version in the console
      printVersion();
  
      // Create a new FEAScriptWorker instance
      const model = new FEAScriptWorker();
  
      // Ensure the worker is ready
      await model.ping();
  
      // Configure model
      await model.setSolverConfig("heatConductionScript");
      await model.setMeshConfig({
        meshDimension: "2D",
        elementOrder: "quadratic",
        numElementsX: 8,
        numElementsY: 4,
        maxX: 4,
        maxY: 2,
      });
  
      // Apply boundary conditions
      await model.addBoundaryCondition("0", ["constantTemp", 200]);
      await model.addBoundaryCondition("1", ["symmetry"]);
      await model.addBoundaryCondition("2", ["convection", 1, 20]);
      await model.addBoundaryCondition("3", ["constantTemp", 200]);
  
      // Solve
      await model.setSolverMethod("lusolve");
      const { solutionVector, nodesCoordinates } = await model.solve();
  
      // Plot results
      plotSolution(
        solutionVector,
        nodesCoordinates,
        "heatConductionScript",
        "2D",
        "contour",
        "resultsCanvas"
      );
  
      // Terminate the worker
      model.terminate();
    });
  </script>
  <!-- ...rest of body region... -->
</body>

Results

Below is the 2D contour plot of the computed temperature distribution. This plot is generated in real time using FEAScript.

Solving...