Model Hierarchy for the Shape Optimization of a Microchannel Cooling System

11/15/2019
by   Sebastian Blauth, et al.
0

We model a microchannel cooling system and consider the optimization of its shape by means of shape calculus. A three-dimensional model covering all relevant physical effects and three reduced models are introduced. The latter are derived via a homogenization of the geometry in 3D and a transformation of the three-dimensional models to two dimensions. A shape optimization problem based on the tracking of heat absorption by the cooler and the uniform distribution of the flow through the microchannels is formulated and adapted to all models. We present the corresponding shape derivatives and adjoint systems, which we derived with a material derivative free adjoint approach. To demonstrate the feasibility of the reduced models, the optimization problems are solved numerically with a gradient descent method. A comparison of the results shows that the reduced models perform similarly to the original one while using significantly less computational resources.

READ FULL TEXT

Authors

page 10

page 22

06/04/2020

Shape derivatives for the penalty formulation of contact problems with Tresca friction

In this article, the shape optimization of a linear elastic body subject...
01/17/2022

Deep convolutional neural network for shape optimization using level-set approach

This article presents a reduced-order modeling methodology for shape opt...
08/21/2020

Comparison of Shape Derivatives using CutFEM for Ill-posed Bernoulli Free Boundary Problem

In this paper we discuss a level set approach for the identification of ...
01/29/2020

Stochastic approximation for optimization in shape spaces

In this work, we present a novel approach for solving stochastic shape o...
08/09/2021

Maximizing Vortex for the Navier–Stokes Flow with a Convective Boundary Condition: A Shape Design Problem

In this study, a shape optimization problem for the two-dimensional stat...
05/15/2022

Adjoint-based optimization of two-dimensional Stefan problems

A range of optimization cases of two-dimensional Stefan problems, solved...
04/20/2021

Vorticity Maximization of a Linear Fluid Flow via Volume Constrained and Perimeter Regularized Shape Optimization

We study an optimization problem that aims to determine the shape of an ...
This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.