A Two-grid Characteristic Finite Element Method for Incompressible Flow
Abstract
This study proposes and briefly analyzes a two-grid characteristic finite element method based on a residual technique, with the low order pair of mixed finite element such as P1−P1, for the incompressible time-dependent Navier–Stokes equations. A characteristic finite element calculation of nonlinear Navier–Stokes problem is first presented on a coarse grid, followed by the residual correction on a fine grid utilizing the difference between the coarse and fine grids. The characteristic method is transported by divergence-free velocity field, free of the Newton iterations, unconditionally stable, and free of stabilization for large Reynolds numbers of incompressible flow. The numerical results show high accuracy and efficiency.
Recommended Citation
Y. Jiang et al., "A Two-grid Characteristic Finite Element Method for Incompressible Flow," Applied Mathematics Letters, vol. 171, article no. 109663, Elsevier, Dec 2025.
The definitive version is available at https://doi.org/10.1016/j.aml.2025.109663
Department(s)
Mathematics and Statistics
Keywords and Phrases
Characteristic finite element; Incompressible flow; Navier–Stokes; Residual
International Standard Serial Number (ISSN)
1873-5452; 0893-9659
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2025 Elsevier, All rights reserved.
Publication Date
01 Dec 2025
Comments
National Science Foundation, Grant DMS-2152609