Discretization of model equations
Numerical simulation in aerodynamics

Article REF: TRP4010 V1

Discretization of model equations
Numerical simulation in aerodynamics

Author : Françoise MONTIGNY-RANNOU

Publication date: February 10, 2014, Review date: January 18, 2019 | Lire en français

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4. Discretization of model equations

The model is discretized as shown below.

Continuous problem

Let $P$ be the continuous problem in two-dimensional Ω space (Stokes problem):

\frac{\partial u}{\partial t} = - \frac{\partial p}{\partial x} + ν (\frac{\partial^{2} u}{\partial x^{2}} + \frac{\partial^{2} u}{\partial y^{2}})

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Bibliography

(1) - ANDERSON (W.K.), THOMAS (J.L.), WHITFIELD (D.L.) - Multigrid accelaration of the flux split Euler equations. - AIAA paper 86-0274 (1986).
(2) - ANDERSON (W.K.), THOMAS (J.L.), VAN LEER (B.) - Comparison of finite volume flux vector splittings...

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