Set up a heat-conduction problem the way an engineer does: paint hot and cold boundary conditions and insulating walls onto the domain, then watch it relax to steady state.
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.
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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How it works
The domain is discretized into a grid of cells. Cells you mark hot or cold become Dirichlet boundary conditions; walls are excluded from the solve. The steady-state temperature field is found by Gauss-Seidel relaxation of Laplace's equation (∇²u = 0) until the residual converges — the foundation of finite-element and finite-difference heat analysis.
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The math, the assumptions, real-world uses, or a code translation — explained for this exact simulation.
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The solver uses established numerical methods, but results are for research and educational purposes and should be validated against experiment or professional review before you rely on them.