Recursive correction - a novel technique for decoupling and linearization of Navier-Stokes systems
Document Type
Article
Publication Date
10-15-2026
Department
Department of Mathematical Sciences
Abstract
We present Recursive Correction - a novel approach to linearization and decoupling of stiff problems; it is based on using defect correction to restore the structure of the differential operator. We use numerical testing to demonstrate that this new method can converge quadratically when linearizing the Navier-Stokes equations. We also test the method on MagnetoHydroDynamic flows: Recursive Correction is shown to improve the quality of the employed decoupling method. Finally, we combine Recursive Correction with the Refactorized Midpoint method for an even more efficient decoupling of MagnetoHydroDynamic flows.
Publication Title
Computers and Mathematics with Applications
Recommended Citation
Labovsky, A.
(2026).
Recursive correction - a novel technique for decoupling and linearization of Navier-Stokes systems.
Computers and Mathematics with Applications,
220, 422-439.
http://doi.org/10.1016/j.camwa.2026.07.009
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p2/3058