A Priori Error Bounds for the Approximate Deconvolution Leray Reduced Order Model
Numerical Analysis
2024-10-04 v1 Numerical Analysis
Abstract
The approximate deconvolution Leray reduced order model (ADL-ROM) uses spatial filtering to increase the ROM stability, and approximate deconvolution to increase the ROM accuracy. In the under-resolved numerical simulation of convection-dominated flows, ADL-ROM was shown to be significantly more stable than the standard ROM, and more accurate than the Leray ROM. In this paper, we prove a priori error bounds for the approximate deconvolution operator and ADL-ROM. To our knowledge, these are the first numerical analysis results for approximate deconvolution in a ROM context. We illustrate these numerical analysis results in the numerical simulation of convection-dominated flows.
Keywords
Cite
@article{arxiv.2410.02673,
title = {A Priori Error Bounds for the Approximate Deconvolution Leray Reduced Order Model},
author = {Ian Moore and Anna Sanfilippo and Francesco Ballarin and Traian Iliescu},
journal= {arXiv preprint arXiv:2410.02673},
year = {2024}
}