Analysis of high Reynolds free surface flows

IF 1.5 4区 工程技术 Q3 MECHANICS
D. Young, M. C. Lin, C. Tsai
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引用次数: 2

Abstract

In this paper, we will combine an upwind radial basis function-finite element with direct velocity–pressure formulation to study the two-dimensional Navier-Stokes equations with free surface flows. We will examine this formulation in an improved mixed-order finite element and localized radial basis function method. A particle tracking method and the arbitrary Lagrangian-Eulerian scheme will then be applied to simulate the two-dimensional high Reynolds free surface flows. An upwind improved finite element formulation based on a localized radial basis function differential quadrature (LRBFDQ) method is used to deal with high Reynolds number convection dominated flows. This study successfully obtained very high Reynolds number free surface flows, up to Re = 500 000. Finally, we will demonstrate and discuss the capability and feasibility of the proposed model by simulating two complex free surface flow problems: (1) a highly nonlinear free oscillation flow and (2) a large amplitude sloshing problem. Using even very coarse grids in all computing scenarios, we have achieved good results in accuracy and efficiency.
高雷诺数自由表面流动分析
本文将迎风径向基函数-有限元与直接速度-压力公式相结合,研究具有自由表面流动的二维Navier-Stokes方程。我们将用一种改进的混合阶有限元和局部径向基函数方法来检验这个公式。然后采用粒子跟踪法和任意拉格朗日-欧拉格式来模拟二维高雷诺数自由表面流动。采用一种基于局部径向基函数微分正交(LRBFDQ)方法的迎风改进有限元公式来处理高雷诺数对流占主导地位的流动。本研究成功地获得了极高雷诺数的自由表面流动,最高可达Re = 50 000。最后,我们将通过模拟两个复杂的自由表面流动问题来证明和讨论所提出模型的能力和可行性:(1)高度非线性自由振荡流动和(2)大振幅晃动问题。即使在所有计算场景中使用非常粗糙的网格,我们也在精度和效率方面取得了良好的效果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Journal of Mechanics
Journal of Mechanics 物理-力学
CiteScore
3.20
自引率
11.80%
发文量
20
审稿时长
6 months
期刊介绍: The objective of the Journal of Mechanics is to provide an international forum to foster exchange of ideas among mechanics communities in different parts of world. The Journal of Mechanics publishes original research in all fields of theoretical and applied mechanics. The Journal especially welcomes papers that are related to recent technological advances. The contributions, which may be analytical, experimental or numerical, should be of significance to the progress of mechanics. Papers which are merely illustrations of established principles and procedures will generally not be accepted. Reports that are of technical interest are published as short articles. Review articles are published only by invitation.
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