Abstract

ime efficiency is a critical concern in Computational Fluid Dynamics (CFD) simulations of industrial applications. Despite the extensive research to improve the underlying numerical schemes to reduce the processing time, many CFD applications still need to improve on this issue. Reduced-Order Models (ROM) appeared as a promising alternative for significantly enhancing cost-effectiveness. The dimension of the initial problem is reduced significantly while keeping an acceptable level of accuracy. Proper Orthogonal Decomposition (POD), a data analysis technique, is widely used to construct a ROM to solve Euler and Navier-Stokes equations in CFD. Many aspects, however, need to be improved. In this paper, first, a general upper-bound error formula is derived, and second, a mesh-adaptivity based algorithm for snapshot locations in parameter space is provided (a sensitive step for POD-based ROM) in the …

No Result Found
Year of Publication
2024
ISBN Number
https://doi.org/10.1177/0954410024129210
DOI
https://doi.org/10.1177/0954410024129210
Download citation

POD and mesh-adaptivity based reduce order model: Application to solve PDEs and inviscid flows

Associate Professor of Mathematics, Chair of Mathematics & Computer Science Department

Citation: 1.POD and mesh-adaptivity based reduce order model: Application to solve PDEs and inviscid flows. 2024. doi:https://doi.org/10.1177/0954410024129210

In:

Published by: , 2024

Cited by: