Fluidic Topology Optimization with an Anisotropic Mixture Model

Abstract

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.

Document Details

Document Type
Pub Defense Publication
Publication Date
Nov 30, 2022
Source ID
10.1145/3550454.3555429

Entities

People

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

Organizations

  • Dartmouth College
  • Defense Advanced Research Projects Agency
  • Massachusetts Institute of Technology
  • National Science Foundation
  • University of Wisconsin–Madison

Tags

Readers

  • Calculus or Mathematical Analysis
  • Robotics and Automation.
  • Systems Analysis and Design