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首页> 外文期刊>Journal of Computational Physics >Extension of the finite volume particle method to viscous flow
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Extension of the finite volume particle method to viscous flow

机译：将有限体积粒子方法扩展到粘性流

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The finite volume particle method (FVPM) is a mesh-free method for fluid dynamics which allows simple and accurate implementation of boundary conditions and retains the conservation and consistency properties of classical finite volume methods. In this article, the FVPM is extended to viscous flows using a consistency-corrected smoothed particle hydrodynamics (SPH) approximation to evaluate velocity gradients. The accuracy of the viscous FVPM is improved by a higher-order discretisation of the inviscid flux combined with a second-order temporal discretisation. The higher-order inviscid FVPM is validated for a 1-D shock tube problem, in which it demonstrates an enhanced shock capturing ability. For two-dimensional simulations, a small arbitrary Lagrange-Euler correction to fully Lagrangian particle motion is beneficial in maintaining a favourable particle distribution over long simulation times. The viscous FVPM is validated for two-dimensional Poiseuille, Taylor-Green and lid-driven cavity flows, and good agreement is achieved with analytic or reference numerical solutions. These results establish the viability of FVPM as a tool for mesh-free simulation of viscous flows in engineering. (c) 2008 Elsevier Inc. All rights reserved.
机译：有限体积粒子方法（FVPM）是一种用于流体动力学的无网格方法，可以简单，准确地实现边界条件，并保留了经典有限体积方法的守恒和一致性性质。在本文中，使用一致性校正的平滑粒子流体动力学（SPH）近似值将FVPM扩展到粘性流，以评估速度梯度。粘性FVPM的精度通过无粘性通量的高阶离散化与二阶时间离散化相结合而提高。高阶无粘性FVPM已针对一维激振管问题进行了验证，该问题表明它具有增强的激振捕获能力。对于二维模拟，对整个拉格朗日粒子运动进行小的任意Lagrange-Euler校正有利于在较长的模拟时间内保持良好的粒子分布。粘性FVPM已针对二维Poiseuille，泰勒-格林（Taylor-Green）和盖驱动的腔流进行了验证，并通过解析或参考数值解获得了良好的一致性。这些结果确立了FVPM作为工程中粘性流的无网格模拟工具的可行性。 （c）2008 Elsevier Inc.保留所有权利。

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