求解Navier-Stokes方程的矢量投影方法

Jean-Paul Caltagirone, Jérôme Breil
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引用次数: 32

摘要

提出了一种求解不可压缩流中Navier-Stokes方程的方法。它是基于速度场的投影,通过零散度场的预测步骤来接近。这种方法的新颖之处在于如何通过耦合直接对速度场的所有分量进行投影。一个高度隐式的算法允许我们在求解过程中保持问题的所有物理边界条件。
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Sur une méthode de projection vectorielle pour la résolution des équations de Navier-Stokes

We propose a method of solving the Navier-Stokes equations in incompressible flow. It is based on the projection of the velocity field, approached by a prediction step on a zero divergence field. The novelty of this method concerns how the projection is made, directly operating on all the components of the velocity field through a coupling. A highly implicit algorithm allows us to maintain all physical boundary conditions of the problem during the solution steps.

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