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Euler Equations

The title given to equations, developed by L. Euler, for calculating the flow of a frictionless, nonviscous fluid. The equations address compressibility of a fluid. They do not address flowfield discontinuities, such as those from shocks. Flow field rotation can be computed. The Euler equations of fluid flow can be integrated throughout a finite region to determine the dynamic equilibrium of a finite volume of particles, applying Newton’s second law (momentum) to the group of fluid particles. This flowfield solution is called Eulerian, compared with a more complex flowfield solution that tracks each fluid particle (the Lagrangian approach). Traditionally, flow field analyses performed using the Euler equations are considered to be between analyses performed using the potential flow and the Navier-Stokes equations, in complexity and sophistication.

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