论文标题

通过各向异性混合模型优化流体拓扑结构

Fluidic Topology Optimization with an Anisotropic Mixture Model

论文作者

Li, Yifei, Du, Tao, Srinivasan, Sangeetha Grama, Wu, Kui, Zhu, Bo, Sifakis, Eftychios, Matusik, Wojciech

论文摘要

流体设备是许多涉及流体力学的工业应用中的关键组件。高性能流体系统的计算设计在其几何表示和身体准确性方面面临多方面的挑战。我们提出了一种新颖的拓扑优化方法,用于在Stokes流动上下文中设计流体设备。我们的方法以其能力适应固体流体界面处的边界条件的能力。我们的关键贡献是一种各向异性和可区分的本构模型,该模型在Stokes模型中统一了不同阶段和边界条件的表示,从而实现了一种拓扑优化方法,该方法可以从背景网格离散化中合成具有准确边界条件的新型结构。我们通过执行多个具有超过400万个设计参数的流体系统设计任务来证明我们的方法的功效。

Fluidic devices are crucial components in many industrial applications involving fluid mechanics. Computational design of a high-performance fluidic system faces multifaceted challenges regarding its geometric representation and physical accuracy. We present a novel topology optimization method to design fluidic devices in a Stokes flow context. Our approach is featured by its capability in accommodating a broad spectrum of boundary conditions at the solid-fluid interface. Our key contribution is an anisotropic and differentiable constitutive model that unifies the representation of different phases and boundary conditions in a Stokes model, enabling a topology optimization method that can synthesize novel structures with accurate boundary conditions from a background grid discretization. We demonstrate the efficacy of our approach by conducting several fluidic system design tasks with over four million design parameters.

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