Singularities in perfect fluid mechanics
The Theory of Singularities. A Complement to Local Finite Element Models in Physics
Article REF: AF5070 V1
Singularities in perfect fluid mechanics
The Theory of Singularities. A Complement to Local Finite Element Models in Physics

Author : Yves GOURINAT

Publication date: January 10, 2019 | Lire en français

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2. Singularities in perfect fluid mechanics

After this first integral approach on a solid example, we develop here a more physical approach in fluid dynamics.

2.1 Reference plane problem

Here, we'll consider the elementary case of an incompressible perfect-fluid plane flow in an irrotational steady state. This is an example of how singularities generate the solution. What's more, since the current lines coincide with the trajectories in steady state, the flat graphical representation is very simple and unambiguous.

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2.1.1 Flow equations

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