Defect-Deferred Correction Method Based on a Subgrid Artificial\n Viscosity Model for Fluid-Fluid Interaction

2020/05/31 by Mustafa Aggul, Aggul, Mustafa, Songül Kaya +1
Engineering · #Advanced Numerical Methods in Computational Mathematics #Computational Fluid Dynamics and Aerodynamics #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Numerical Analysis (math.NA)

paper · pdf · doi:10.48550/arxiv.2006.00537

openalex publication_date 2020/05/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A defect-deferred correction method, increasing both temporal and spatial\naccuracy, for fluid-fluid interaction problem with nonlinear interface\ncondition is considered by geometric averaging of the previous two-time levels.\nIn the defect step, an artificial viscosity is added only on the fluctuations\nin the velocity gradient by removing this effect on a coarse mesh. The\ndissipative influence of the artificial viscosity is further eliminated in the\ncorrection step while gaining additional temporal accuracy at the same time.\nThe stability and accuracy analyses of the resulting algorithm are investigated\nboth analytically and numerically.\n

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