A sequential global programming approach for two-scale optimization of homogenized multiphysics problems with application to Biot porous media

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F23%3A43969245" target="_blank" >RIV/49777513:23520/23:43969245 - isvavai.cz</a>

Result on the web

<a href="https://doi.org/10.1007/s00158-023-03659-w" target="_blank" >https://doi.org/10.1007/s00158-023-03659-w</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/s00158-023-03659-w" target="_blank" >10.1007/s00158-023-03659-w</a>

Result language

angličtina

Original language name

A sequential global programming approach for two-scale optimization of homogenized multiphysics problems with application to Biot porous media

Original language description

We present a new approach and an algorithm for solving two-scale material optimization problems to optimize the behaviour of a fluid-saturated porous medium in a given domain. While the state problem is governed by the Biot model describing the fluid–structure interaction in homogenized poroelastic structures, the approach is widely applicable to multiphysics problems involving several macroscopic fields in which homogenization provides the relationship between the microconfigurations and the macroscopic mathematical model. The optimization variables describe the local microstructure design by virtue of the pore shape which determines the effective medium properties, namely the material coefficients, computed by the homogenization method. The numerical optimization strategy involves (a) precomputing a database of the material coefficients associated with the geometric parameters and (b) applying the sequential global programming (SGP) method for solving the problem of macroscopically optimized distribution of material coefficients. Although there are similarities to the free material optimization (FMO) approach, only effective material coefficients are considered admissible, for which a well-defined set of corresponding configurable microstructures exists. Due to the flexibility of the SGP approach, different types of microstructures with fully independent parametrizations can easily be handled. The efficiency of the concept is demonstrated by a series of numerical experiments that show that the SGP method can simultaneously handle multiple types of microstructures with nontrivial parametrizations using a considerably low and stable number of state problems to be solved.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

20302 - Applied mechanics

Project

Result was created during the realization of more than one project. More information in the Projects tab.

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2023

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION

ISSN

1615-147X

e-ISSN

1615-1488

Volume of the periodical

66

Issue of the periodical within the volume

9

Country of publishing house

DE - GERMANY

Number of pages

24

Pages from-to

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UT code for WoS article

001067432200001

EID of the result in the Scopus database

2-s2.0-85170829741