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首页> 外文期刊>International journal of numerical methods for heat & fluid flow >Simulation of a macrosegregation benchmark with a meshless diffuse approximate method
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Simulation of a macrosegregation benchmark with a meshless diffuse approximate method

机译：用无网格扩散近似方法模拟宏观偏析基准

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Purpose - The purpose of this paper is to simulate a macrosegregation solidification benchmark by a meshless diffuse approximate method. The benchmark represents solidification of Al 4.5 wt per cent Cu alloy in a 2D rectangular cavity, cooled at vertical boundaries. Design/methodology/approach - A coupled set of mass, momentum, energy and species equations for columnar solidification is considered. The phase fractions are determined from the lever solidification rule. The meshless diffuse approximate method is structured by weighted least squares method with the seoond-order monomials for trial functions and Gaussian weight functions. The spatial localization is made by overlapping 13-point subdomains. The time-stepping is performed in an explicit way. The pressure-velocity coupling is performed by the fractional step method. The convection stability is achieved by upstream displacement of the weight function and the evaluation point of the convective operators. Findings - The results show a very good agreement with the classical finite volume method and the meshless local radial basis function collocation method. The simulations are performed on uniform and nonuniform node arrangements and it is shown that the effect of non-uniformity of the node distribution on the final segregation pattern is almost negligible. Originality/value - The application of the meshless diffuse approximate method to simulation of macrosegregation is performed for the first time. An adaptive upwind scheme is successfully applied to the diffuse approximate method for the first time.
机译：目的-本文的目的是通过无网格扩散近似方法模拟宏观偏析凝固基准。基准代表在垂直边界冷却的二维矩形腔中凝固的Al 4.5 wt％Cu合金。设计/方法/方法-考虑了一组用于柱状凝固的质量，动量，能量和物种方程的耦合集合。根据杠杆固化规则确定相分数。无网格扩散近似方法是通过加权最小二乘法构造的，具有用于试验函数和高斯权函数的四阶单项式。通过重叠的13点子域进行空间定位。时间步长以显式方式执行。压力-速度耦合通过分数步法进行。对流稳定性是通过权重函数的上游位移和对流算符的评估点来实现的。结果-结果显示与经典的有限体积法和无网格局部径向基函数配置法非常吻合。对均匀和不均匀的节点排列进行仿真，结果表明，节点分布的不均匀性对最终隔离模式的影响几乎可以忽略不计。原创性/价值-首次执行了无网格扩散近似方法在宏观偏析模拟中的应用。自适应迎风方案首次成功地应用于扩散近似方法。

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