Some numerical fluid mechanics algorithms for velocity-pressure coupling
Numerical Solution of the Navier-Stokes Equations by the Finite Volume Method

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Some numerical fluid mechanics algorithms for velocity-pressure coupling
Numerical Solution of the Navier-Stokes Equations by the Finite Volume Method

Author : Pierre SPITERI

Publication date: December 10, 2022 | Lire en français

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2. Some numerical fluid mechanics algorithms for velocity-pressure coupling

In this section we consider the stationary two-dimensional Navier-Stokes equations consisting of the equations for the conservation of momentum :

{\begin{cases} \frac{\partial (ρuu)}{\partial x} + \frac{\partial (ρvu)}{\partial y} = \frac{\partial}{\partial x} (ν \frac{\partial u}{\partial x}) + \frac{\partial}{\partial y} (ν \frac{\partial u}{\partial y}) - \frac{\partial p}{\partial x} + S_{u} \\ \partial ( \end{cases}

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Bibliography

(1) - BAZILEVS (Y.), TAKIZAWA (K.), TEZDUYAR (T.) - Computational fluid – structure interaction, - Wiley (2013).
(2) - BREZINSKI (C.) - Algorithmes d'accélération de la convergence. Étude numérique. - Éditions Technip, Paris, 2000, 404...

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