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


AĞGÜL M., Kaya S.

Applied Numerical Mathematics, vol.160, pp.178-191, 2021 (Peer-Reviewed Journal) identifier identifier

  • Publication Type: Article / Article
  • Volume: 160
  • Publication Date: 2021
  • Doi Number: 10.1016/j.apnum.2020.10.004
  • Journal Name: Applied Numerical Mathematics
  • Journal Indexes: Science Citation Index Expanded, Scopus, Academic Search Premier, Applied Science & Technology Source, Computer & Applied Sciences, INSPEC, MathSciNet, zbMATH, DIALNET
  • Page Numbers: pp.178-191
  • Keywords: Fluid-fluid interaction, Subgrid artificial viscosity, Defect-deferred correction, STABILITY

Abstract

© 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.