A decoupled finite element method for fluid–fluid interaction
Year: 2026
Type: article
Abstract: A decoupled finite element method based on the scalar auxiliary variable and vector penalty projection approach is constructed and analysed for solving a fluid–fluid interaction problem, which includes two Navier–Stokes equations coupled by some nonlinear interface conditions. The proposed full-discrete scheme is a combination of mixed finite element approximation for spatial discretization, backward Euler scheme for temporal discretization, as well as explicit treatment for the interface conditions, and can penalize for lack of mass conservation. Furthermore, unconditional energy stability is given and error estimates for the fully discrete scheme are showed. Finally, some numerical experiments are provided to illustrate the theoretical results and efficiency of the presented method.
Source: Journal of Numerical Mathematics
Authors: Wei Li, Pengzhan Huang, Yinnian He
Institutions: Xinjiang University, Xi'an Jiaotong University
Language: English
Subfield: Computational Mechanics
Field: Engineering
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $2,712
OpenAlex ID: W7125438332