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A HYBRID NUMERICAL METHOD FOR NAVIER-STOKES EQUATIONS BASED ON SIMPLE ALGORITHM

机译:基于简单算法的航海方程的混合数值方法

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A new numerical approach ruing both the finite-element method and the control-volume method is proposed for the Navier-Stokes equations. For the momentum equation, the segregated equal-order velocity-pressure formulation has been combined with the streamline upwind Petrov-Galerkin finite-element method using the four-node element. The pressure equation has been obtained by applying the mass conservation principle to an arbitrary-shaped control volume. The present method has been tested for lid-driven cavity flow and natural convection in a square cavity. With comparable computing cost to the finite-volume method, the proposed hybrid numerical method gives accurate results for the Navier-Stokes equations, which are free from the checkerboard-type pressure distribution and retain the merits of equal-order finite-element method. [References: 16]
机译:针对Navier-Stokes方程,提出了一种同时考虑有限元法和控制量法的数值方法。对于动量方程,使用四节点单元将分离的等阶速度-压力公式与流线型迎风Petrov-Galerkin有限元方法相结合。通过将质量守恒原理应用于任意形状的控制体积,可以得出压力方程。已经针对盖驱动的腔流动和方形腔中的自然对流测试了本方法。与有限体积方法可比的计算成本,所提出的混合数值方法为Navier-Stokes方程提供了准确的结果,该方法不受棋盘式压力分布的影响,并保留了等阶有限元方法的优点。 [参考:16]

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