An integral equation formulation of the Navier-Stokes equations

机译：Navier-Stokes方程的整体方程式制定

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A set of coupled integral equations is derived from the incompressible Navier-Stokes equations and the continuity equation. These equations are based on a velocity-vorticity-total pressure formulation and are exact. The equations consist of a generalization of the Biot-Savart law for the determination of the velocity, an integral expression of the momentum equation for the determination of the vorticity and a boundary integral equation for the determination of the total pressure. The equations possess a number of interesting properties, including the absence of spatial derivatives and the fact that the total pressure is only required on the boundary of the fluid domain. In addition, since for steady flows the vorticity is present in all volume integrals, the domain of integration in this case is restricted to the region of nonzero vorticity. All boundary conditions, and in particular the far-field boundary condition, are naturally incorporated in the formulation.

机译：一组耦合整体方程源自不可压缩的Navier-Stokes方程和连续性方程。这些等式基于速度涡度 - 总压力制剂，精确。该等式包括用于确定速度的Biot-Savart法律的概括，用于确定涡度的矩形方程的积分表达和用于确定总压力的边界积分方程。等式具有许多有趣的性质，包括没有空间衍生物，并且仅仅在流体域的边界上需要总压力。另外，由于对于稳定流动，因此在所有卷积分中存在血管，因此在这种情况下集成域仅限于非零涡度的区域。所有边界条件，特别是远场边界条件，自然掺入配方中。

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《MIT Conference on Computational Fluid and Solid Mechanics》|2001年||共2页
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James S. Uhlman;
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中图分类 O35-53;
关键词
Navier-Stokes equations; Integral equations;

机译：Navier-Stokes方程;积分方程;

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An integral equation formulation of the Navier-Stokes equations

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