Control of flow behavior in complex fluids using automatic differentiation

Fuente: arXiv
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Autores principales: Alhashim, Mohammed, Hausknecht, Kaylie, Brenner, Michael
Formato: Preprint
Publicado: 2024
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author Alhashim, Mohammed
Hausknecht, Kaylie
Brenner, Michael
author_facet Alhashim, Mohammed
Hausknecht, Kaylie
Brenner, Michael
contents Inverse design of complex flows is notoriously challenging because of the high cost of high dimensional optimization. Usually, optimization problems are either restricted to few control parameters, or adjoint-based approaches are used to convert the optimization problem into a boundary value problem. Here, we show that the recent advances in automatic differentiation (AD) provide a generic platform for solving inverse problems in complex fluids. To demonstrate the versatility of the approach, we solve an array of optimization problems related to active matter motion in Newtonian fluids, dispersion in structured porous media, and mixing in journal bearing. Each of these problems highlights the advantages of AD in ease of implementation and computational efficiency to solve high-dimensional optimization problems involving particle-laden flows.
format Preprint
id arxiv_https___arxiv_org_abs_2403_06257
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Control of flow behavior in complex fluids using automatic differentiation
Alhashim, Mohammed
Hausknecht, Kaylie
Brenner, Michael
Fluid Dynamics
Optimization and Control
Inverse design of complex flows is notoriously challenging because of the high cost of high dimensional optimization. Usually, optimization problems are either restricted to few control parameters, or adjoint-based approaches are used to convert the optimization problem into a boundary value problem. Here, we show that the recent advances in automatic differentiation (AD) provide a generic platform for solving inverse problems in complex fluids. To demonstrate the versatility of the approach, we solve an array of optimization problems related to active matter motion in Newtonian fluids, dispersion in structured porous media, and mixing in journal bearing. Each of these problems highlights the advantages of AD in ease of implementation and computational efficiency to solve high-dimensional optimization problems involving particle-laden flows.
title Control of flow behavior in complex fluids using automatic differentiation
topic Fluid Dynamics
Optimization and Control
url https://arxiv.org/abs/2403.06257