论文标题
使用有限差流方法研究二维流体流量的Navier-Stokes方程
Investigation of 2-dimensional fluid flow using finite difference flow method of Navier-Stokes equation
论文作者
论文摘要
提出的研究论文说明了一种新方法来解决二维（2D）Navier-Stoke方程，Pukhnachev通过在流体流的流和压力函数中引入未知功能提出了该方法。提出的新方法与Navier-Stokes表达式中给出的常见涡度流有区别，因为它具有与椭圆表达中未知函数相对应的流函数。该方程在算法考虑方面代表了几个方案，因为它可以使用主题流的一个函数解决两种情况，而无需在创新函数上添加新条件。在这里，数值算法的概念在腔内的流程中应用于代表要解决的基准任务。基准任务提供了对主体流量的足够表示。
The presented research paper illustrates the development of a new methodology to solve 2-dimensional (2D) Navier-Stoke equations, which Pukhnachev proposed through introducing unknown functions in the stream and pressure functions of fluid flow. The proposed novel method is distinguishable from the common vorticity-stream given in the Navier-Stokes expression because it has a stream function that corresponds to the unknown function in the elliptic expression. The equation represents a couple of scheme in algorithmic considerations because it enables two situations to be solved using one function of the subject stream without putting new conditions on the innovative function. Here, the concept of numerical algorithm is applied in a flow under a cavity to represent a benchmark task to be solved. The benchmark task gives enough representation of the subject flow.
