Globally optimized dynamic mode decomposition:A first study in particulate systems modelling  

作　　者：Abhishek Gupta Barada Kanta Mishra 

机构地区：[1]School of Mechanical Sciences,Indian Institute of Technology(IIT)Goa,Ponda 403401,Goa,India [2]School of Minerals,Materials&Metallurgical Engineering,Indian Institute of Technology(IIT)Bhubaneswar,Bhubaneswar 752050,Odisha,India

出　　处：《Theoretical & Applied Mechanics Letters》2025年第1期98-106,共9页力学快报(英文版)

基　　金：supported by the Ramanujan Fellowship from the Science and Engineering Research Board,Government of India(Grant No.RJF/2022/000115).

摘　　要：This paper introduces dynamic mode decomposition(DMD)as a novel approach to model the breakage kinetics of particulate systems.DMD provides a data-driven framework to identify a best-fit linear dynamics model from a sequence of system measurement snapshots,bypassing the nontrivial task of determining appropriate mathemat-ical forms for the breakage kernel functions.A key innovation of our method is the instilling of physics-informed constraints into the DMD eigenmodes and eigenvalues,ensuring they adhere to the physical structure of particle breakage processes even under sparse measurement data.The integration of eigen-constraints is computationally aided by a zeroth-order global optimizer for solving the nonlinear,nonconvex optimization problem that elicits system dynamics from data.Our method is evaluated against the state-of-the-art optimized DMD algorithm using both generated data and real-world data of a batch grinding mill,showcasing over an order of magnitude lower prediction errors in data reconstruction and forecasting.

关 键 词：Physics-informed dynamic mode DECOMPOSITION Population balance equation Particle breakage Zeroth-order optimization 

分 类 号：O35[理学—流体力学]