JSIAM research activity group Mathematical design

ICIAM 2023 (10th International Congress on Industrial and Applied Mathematics)

Waseda University, Tokyo, Japan, August 20-25, 2023

Thank you very much for attending our session.

[00153] Recent Advances on Inverse Analysis

Session Time & Room : 1E (Aug.21, 17:40-19:20) @E811

Type : Proposal of Minisymposium

Abstract : In inverse analysis, unknown design variables and parameters are calculated so as to satisfy observed values and design standard values, and this kind of analysis is widely performed in design problems, i.e., shape optimization and topology optimization problems, and parameter identification problems. The adjoint variable method, the direct differentiation method, the Kalman filter, etc. are generally employed to solve these problems. However, the solution may not be appropriately calculated unless special methods are used. In this mini symposium, the purpose is to discuss new numerical methods and considerations to solve problems in inverse analysis.

Organizer(s) : Takahiko Kurahashi, Jin-Xing Shi, Masayuki Kishida, Eiji Katamine

Classification : 74P05, 65K10, 37N10, 74F10, Inverse Analysis

Minisymposium Program :

00153 (1/1) : 1E @E811 [Chair: Takahiko Kurahashi]

[01421] Tidal current estimation based on the extended Kalman filter FEM

Format : Talk at Waseda University

Author(s) :

Takahiko Kurahashi (Nagaoka University of Technology)

Abstract : In this presentation, some numerical results of tidal current estimation analysis for Tokyo bay model will be shown. The shallow water equation is introduced as the governing equation, and the discretized equation is employed as the system equation in the extended Kalman filter FEM. Numerical results will be compared with the result based on the normal Kalman filter FEM, and the superiority of extended Kalman filter FEM will be shown.

[01427] Optimal shape design of auxetic structures with periodicity

Format : Talk at Waseda University

Author(s) :

Jin-Xing Shi (Komatsu University)

Abstract : Auxetic structures indicate structures with negative Poisson’s ratio. To achieve their best auxetic performance, in this work, optimal shape design of periodic auxetic structures is performed for identification of the negative Poisson’s ratio based on a gradient-based shape optimization method and the homogenization method. Numerical design examples are given to confirm the validity and efficiency of the proposed optimization approach. The present work aims to help design auxetic structures in industrial applications.

[01428] Density-based topology optimization using a modified optimality criteria method

Format : Online Talk on Zoom

Author(s) :

Masayuki Kishida (National Institute of Technology (KOSEN), Gifu College)

Takahiko Kurahashi (Nagaoka University of Technology)

Abstract : In this study, we present the density-based topology optimization for minimizing equivalent stress using our developed modified optimality criteria method. The method is an update method for density that incorporates the concepts of Newton's method for the conventional optimality criteria method. The number of arbitrary constants required for topology optimization can be reduced by using our proposed method. In this presentation, p-norm is employed for the performance function and several numerical results will be presented.

[03034] Shape Design Problems Considering Fluid-Structure-Interactive Fields

Format : Talk at Waseda University

Author(s) :

Eiji Katamine (National Institute of Technology, Gifu College)

Yashushi Yoshida (Gifu University)

Abstract : This paper presents numerical solution to a shape design of stationary fluid-structure-interactive fields. The minimization problem for total dissipation energy in the viscous flow field and the mean compliance minimization problem in order to achieve stiffness maximization in the structural field are considered for the shape optimization. Numerical analysis program for the shape design is developed by using FreeFEM, and the validity of proposed method is confirmed by results of 2D numerical analyses.