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Potential Flow Theory

Models the fluid flow using a velocity potential ϕ\phi, where the velocity v⃗=∇ϕ\vec{v} = \nabla \phi. This simplifies the governing equations by neglecting viscosity.
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The statement of the theorem

Model the fluid flow using a velocity potential ϕ\phi such that the velocity field v⃗\vec{v} is derived by the gradient: v⃗=∇ϕ\vec{v} = \nabla \phi. The governing equation for ϕ\phi in an incompressible, inviscid flow is the Laplace equation: ∇2ϕ=0\nabla^2 \phi = 0 in the flow domain Ω\Omega.