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首页> 外文期刊>International Journal for Numerical Methods in Fluids >AN IMPROVED MAC METHOD (SIMAC) FOR UNSTEADY HIGH-REYNOLDS FREE SURFACE FLOWS
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AN IMPROVED MAC METHOD (SIMAC) FOR UNSTEADY HIGH-REYNOLDS FREE SURFACE FLOWS

机译：不稳定高雷诺自由表面流动的改进MAC方法（SIMAC）

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摘要

A modified MAC method (SIMAC; semi-implicit marker and cell) is proposed which accurately treats unsteady high-Reynolds free surface problems. SIMAC solves the Navier-Stokes equations in primitive variables on a non-uniform staggered Cartesian grid by means of a finite difference scheme. The convective term is treated explicitly by employing a second-order upwind scheme in space (HLPA) and the Adams-Bashforth technique in time. The diffusive part is solved by means of the implicit approximate factorization technique. A multigrid technique based on the additive correction strategy is employed to solve the Poisson equation for the pressure. Finally, the free surface treatment is carried out using massless particles which divide the domain of integration into full and empty cells as in a standard MAC method. The algorithm is used for the analysis of large-amplitude water sloshing in rectangular unbaffled and baffled containers. Experimental tests have been carried out in order to validate the algorithm. Numerical results satisfactorily agree with experimental data for the whole range of filing conditions analysed here.
机译：提出了一种改进的MAC方法（SIMAC;半隐式标记和单元格），该方法可以精确地处理不稳定的高雷诺自由表面问题。 SIMAC通过有限差分方案求解非均匀交错笛卡尔网格上原始变量中的Navier-Stokes方程。对流项通过采用二阶空间迎风方案（HLPA）和及时的Adams-Bashforth技术来明确处理。扩散部分通过隐式近似分解技术解决。采用基于加法校正策略的多重网格技术来求解压力的泊松方程。最终，使用无质量的颗粒进行自由表面处理，该颗粒将积分域分为标准的MAC方法中的完整单元和空单元。该算法用于分析矩形无挡板和有挡板的容器中的大幅度水晃动。为了验证算法，已经进行了实验测试。数值结果与此处分析的整个申请条件范围的实验数据均令人满意。

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