Work

Parameter error analysis for the 3D modified leray-alpha model: analytical and numerical approaches

Year: 2025

Type: article

Abstract: In this study, we perform a parameter error analysis of the 3D modified Leray- $$\alpha $$ α model using both analytical and numerical approaches. First, we prove the global well-posedness and continuous dependence on the initial data for the assimilated system. Furthermore, under sufficient conditions on the physical parameters and norms of the true solution, we demonstrate that the true solution can be recovered from the approximate solution, with the error determined by the discrepancy between the true and approximate parameters. Numerical simulations are provided to validate the convergence criteria.

Source: Computational and Applied Mathematics

DOI: 10.1007/s40314-025-03166-2

Authors: Débora A. F. Albanez, Maicon J. Benvenutti, Samuel Little, Jing Tian

Institutions: Universidade Tecnológica Federal do Paraná, Universidade Federal de Santa Catarina, Towson University

Language: English

Topic: Navier-Stokes equation solutions

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,390

Funder: National Science Foundation