Defect-deferred correction method based on a subgrid artificial viscosity model for fluid-fluid interaction

Date

2021-02-01

Author

AĞGÜL, MUSTAFA
Kaya Merdan, Songül

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© 2020 IMACSA defect-deferred correction method, increasing both temporal and spatial accuracy, for fluid-fluid interaction problem with nonlinear interface condition is considered by geometric averaging of the previous two-time levels. In the defect step, an artificial viscosity is added only on the fluctuations in the velocity gradient by removing this effect on a coarse mesh. The dissipative influence of the artificial viscosity is further eliminated in the correction step while gaining additional temporal accuracy at the same time. The stability and accuracy analyses of the resulting algorithm are investigated both analytically and numerically.

Subject Keywords

Applied Mathematics, Numerical Analysis, Computational Mathematics, Fluid-fluid interaction, Subgrid artificial viscosity, Defect-deferred correction

URI

https://hdl.handle.net/11511/57369

Journal

Applied Numerical Mathematics

DOI

https://doi.org/10.1016/j.apnum.2020.10.004

Collections

Department of Mathematics, Article

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Citation Formats

M. AĞGÜL and S. Kaya Merdan, “Defect-deferred correction method based on a subgrid artificial viscosity model for fluid-fluid interaction,” Applied Numerical Mathematics, pp. 178–191, 2021, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/57369.