Abstract:
A method for transforming the Euler and Navier–Stokes equations and a complete system of fluid dynamics equations in three dimensions to a closed system on any moving surface is proposed. As a result, for an arbitrary geometric configuration, the dimension of the equations is reduced by one, which makes them convenient for numerical simulation. The general principles of the method are described, and verifying examples are presented.
Key words:methods for fluid flow computation, dimension reduction in overdetermined systems of differential equations, Euler equations, Navier–Stokes equations.
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