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Operator splitting scheme for 3-D temperature solution based on 2-D flow approximation

机译:基于二维流动近似的三维温度解算子拆分方案

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In this work, an operator splitting numerical technique is used to solve for the temperature distribution in three dimensions during non-isothermal filling of anisotropic porous media in processes such as resin transfer molding (RTM). In these processes, the parts are manufactured by injecting resin into thin cavities so the flow is primarily in the plane of the part and is modeled as two dimensional flow. However, due to importance of conduction in the out of plane direction, the energy equation needs to be solved in 3-D. Scaling of the terms in the energy balance equation allows us to determine their significance. Important terms considered for this study in such processes are advection, conduction, and heat of curing reation. The operator splitting scheme used to obtain the 3-D temperature solution takes advantage of the fact that advection is only important in the plane and conduction is only important in the thickness direction. When combined with a predictor-corrector method, this scheme converges rapidly to a stable temperature solution for the moving boundary problem. Because of its superior stability, this method uses large time steps to accelerate the calculation while maintaining good accuracy.
机译:本文采用算子分裂数值技术求解树脂传递模塑(RTM)等工艺中各向异性多孔介质非等温填充过程中的三维温度分布。在这些工艺中,通过将树脂注入薄型腔来制造零件,因此流动主要在零件的平面上,并被建模为二维流动。然而,由于在平面外方向上传导的重要性,能量方程需要在三维中求解。在此类过程中,本研究考虑的重要术语是平流、传导和固化热。用于获得三维温度解的算子分裂方案利用了平流仅在平面上重要,而传导仅在厚度方向上重要这一事实。当与预测器-校正器方法结合使用时,该方案可以快速收敛到移动边界问题的稳定温度解。由于其优越的稳定性,该方法使用较大的时间步长来加速计算,同时保持良好的精度。

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