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首页> 外文期刊>Journal of the Franklin Institute >Numerical investigation on a new local preconditioning method for solving the incompressible inviscid, non-cavitating and cavitating flows
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Numerical investigation on a new local preconditioning method for solving the incompressible inviscid, non-cavitating and cavitating flows

机译：一种解决不可压缩的无粘性，非空化和空化流的局部预处理新方法的数值研究

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摘要

A locally power-law preconditioning algorithm is developed. This is applied to compute incompressible inviscid, steady-state, non-cavitating and cavitating flows. The preconditioning parameters are adapted automatically from the pressure of computational domain. This method suggests better convergence rates rather than the standard artificial compressibility and the standard preconditioning method. Single-fluid Euler equations, cast in their conservative form, along with the barotropic cavitation model are employed. The cell-centred Jameson's finite volume discretization technique is used to solve the preconditioned governing equations. The stabilization is achieved via the second and fourth, order artificial dissipation scheme. Explicit four-stage Runge-Kutta time integration is applied to find the steady-state condition. In this paper, the method is assessed through simulations of incompressible inviscid, steady-state, non-cavitating and cavitating flows over a 2D NACA0012 and a 2D NACA66(MOD)+a = 0.8 hydrofoil section. The results show satisfactory agreement with others numerical and experimental works in pressure distribution and hydrodynamic forces. Using the power-law preconditioner decreases the convergence rate significantly. In addition, information such as the effects of the new locally power-law preconditioner, the effects of the artificial dissipation terms, and the effects of the artificial compressibility parameter, on convergence speed and solution accuracy is highlighted.
机译：开发了局部幂律预处理算法。这适用于计算不可压缩的无粘性，稳态，非空化和空化流。预处理参数会根据计算域的压力自动调整。与标准的人工可压缩性和标准的预处理方法相比，此方法显示出更好的收敛速度。采用保守形式的单流体欧拉方程，以及正压空化模型。以单元为中心的詹姆森有限体积离散技术用于求解预处理的控制方程。稳定是通过第二和第四阶人工耗散方案实现的。应用显式四阶段Runge-Kutta时间积分来找到稳态条件。在本文中，该方法是通过模拟二维NACA0012和二维NACA66（MOD）+ a = 0.8水翼型截面上不可压缩的无粘性，稳态，非空化和空化流进行评估的。结果表明在压力分布和流体动力方面与其他数值和实验工作令人满意。使用幂律预处理器会大大降低收敛速度。此外，重点介绍了新的局部幂律预处理器的影响，人工耗散项的影响以及人工可压缩性参数的影响对收敛速度和求解精度的影响。

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