In this paper, we focus on the mathematical foundations of reduced order model (ROM) closures. First, extend verifiability concept from large eddy simulation to ROM setting. Specifically, call a closure verifiable if small error (i.e., difference between true and modeled closure) implies error. Second, prove that data-driven studied here variational multiscale ROM) is verifiable. Finally, inves...

We present a stabilized POD–Galerkin reduced order method (ROM) for Leray model. For the implementation of model, we combine two-step algorithm called Evolve-Filter (EF) with computationally efficient finite volume method. In both steps EF algorithm, velocity and pressure fields are approximated using different POD basis coefficients. To achieve stabilization, consider compare two strategies: P...

Reduced-order stick models are frequently employed to obtain dynamic amplification factors of self-elevating units (SEU), while the full-order finite element (FE) used for quasi-static analyses. This paper develops an efficient framework create structural digital twins SEUs by combining both and FE models. A model a detailed in-house developed generic SEU established, respectively, following st...

by Satyaki Bhattacharjee Predicting effective material properties of nonlinear heterogeneous materials from the knowledge of its micro-structure through numerical modeling and computational homogenization (CH) has many applications in engineering design. Direct numerical modeling (DNM) using finite element method (FEM) is capable of predicting material behavior accurately. Unfortunately, DNM an...