Potential Flow: Superposition of Singularities

Ideal (inviscid, irrotational) flow is governed by Laplace's equation ∇²φ=0. Complex solutions include sources (ψ=m·θ), doublets, and vortices — click to place them.

U∞ (freestream) 1.0
Strength 2.0
Click on canvas to place flow elements. Streamlines (blue) and pressure (color) shown. Doublet + uniform flow = flow around a cylinder (d'Alembert's paradox).