A "poor man's approach" to topology optimization of cooling channels based on a Darcy flow model
A "poor man's approach" to topology optimization of cooling channels based on a Darcy flow model
复制标题
基于达西流模型的冷却通道拓扑优化的“穷人方法”
DOI：
10.1016/j.ijheatmasstransfer.2017.09.090
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发表时间：
2018
影响因子：
5.2
通讯作者：
Andreasen Casper Schousboe
中科院分区：
文献类型：
--
作者：
Zhao Xi;Zhou Mingdong;Sigmund Ole;Andreasen Casper Schousboe
提出了一种利用近似的低成本流动和换热模型来优化冷却通道的拓扑优化方法。流体流动采用达西模型，这是一个线性问题，与Navier-Stokes方程相比，它可以非常有效地求解。得到的流体速度随后被用于稳定对流-扩散换热模型，以计算温度分布。控制方程采用整体形式，使得固体和流体都可以使用单个方程组来建模。材料特性：渗透率、导电率、密度和比热容采用带惩罚的固体各向同性材料(SIMP)格式进行内插。在压降约束和几何长度-尺度约束的帮助下，得到了具有清晰拓扑结构的可制造冷却通道设计。几个数值算例说明了该方法的适用性。用全湍流模型进行的验证研究表明，尽管等效模型在获得理想的真实速度场方面存在局限性，但它总体上提供了性能良好的冷却通道设计。
A topology optimization methodology for optimizing cooling channels using an approximate but low-cost flow and heat transfer model is presented. The fluid flow is modeled using the Darcy model, which is a linear problem that can be solved very efficiently compared to the Navier–Stokes equations. The obtained fluid velocity is subsequently used in a stabilized convection–diffusion heat transfer model to calculate the temperature distribution. The governing equations are cast in a monolithic form such that both the solid and fluid can be modeled using a single equation set. The material properties: permeability, conductivity, density and specific heat capacity are interpolated using the Solid Isotropic Material with Penalization (SIMP) scheme. Manufacturable cooling-channel designs with clear topologies are obtained with the help of a pressure drop constraint and a geometric length-scale constraint. Several numerical examples demonstrate the applicability of this approach. Verification studies with a full turbulence model show that, although the equivalent model has limitations in yielding a perfect realistic velocity field, it generally provides well-performing cooling channel designs.