Mathematical Sciences: Convergence of Vortex Methods

不可压缩流体的流动可以近似为 如果粘度的影响可以忽略不计，则采用涡流法。 它可以近似的随机涡方法，如果 流体是粘性的。 该研究计划调查了 这些方法的近似解的收敛性。 知道它们会收敛将使这些方法变得可靠 因此是有用的。 关于收敛速度的知识 将允许与其他方法进行效率比较， 成本

The flow of an incompressible fluid can be approximated by the vortex method if effects of viscosity are negligible. It can be approximated by the random vortex method if the fluid is viscous. This research program investigates the convergence of the approximate solutions by these methods. Knowing that they converge will make these methods reliable and therefore useful. Knowledge on the rate of convergence will allow comparisons with other methods in efficieny and cost.