Vorticity is generated when density and pressure gradients are not parallel. Under the Boussinesq approximation, the source is .
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The vorticity equation is a fundamental equation in fluid dynamics that describes the evolution of vorticity in a fluid flow. Vorticity, which is a vector field, represents the tendency of fluid elements to rotate and is mathematically defined as the curl of the velocity field. In incompressible and inviscid flow (i.e.