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For K-12 Students · Meshing + BCs

Meshing + BCs for a balcony railing

Built for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework. Simulate a balcony railing live below — adjust the inputs and watch it respond, right in your browser.

Meshing + BC Editor — Steady HeatLive

Laplace ∇²u=0 · Gauss-Seidel relaxation

Controls

Paint boundary conditions on the domain and watch it relax to steady state. Left edge is hot, right is cold by default.

Presets

Brush size

▶ Run in Python

Data Inspector

Grid100×100

SolverGauss-Seidel

Residual0.00e+0

Statussteady

Governing equation

\nabla^{2} u = 0 \Rightarrow u_{i, j} = \frac{1}{4} (u_{i - 1, j} + u_{i + 1, j} + u_{i, j - 1} + u_{i, j + 1}), 100 \times 100 grid, r = 0.00 e + 0

Reading this result: At steady state ∇²u=0 means every interior cell equals the average of its four neighbors, so heat spreads smoothly between the fixed hot and cold edges.

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Frequently asked questions

Is this good for k-12 students?: Yes — this version of "Meshing + BCs for a balcony railing" is framed for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.