Approximate deconvolution models for a fluid-fluid interaction problem with high Reynolds numbers

AĞGÜL M., Labovsky A. E.

COMPUTERS & MATHEMATICS WITH APPLICATIONS, vol.117, pp.113-126, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 117
  • Publication Date: 2022
  • Doi Number: 10.1016/j.camwa.2022.04.011
  • Journal Name: COMPUTERS & MATHEMATICS WITH APPLICATIONS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Computer & Applied Sciences, INSPEC, MathSciNet, Metadex, MLA - Modern Language Association Database, zbMATH, Civil Engineering Abstracts
  • Page Numbers: pp.113-126
  • Keywords: Fluid-fluid interaction, Approximate deconvolution, Rigid lid condition, Geometric averaging method, Turbulence modeling, Partitioned methods, DEFERRED CORRECTION METHOD, LARGE-EDDY SIMULATION
  • Hacettepe University Affiliated: Yes

Abstract

We propose and investigate three approaches to a fluid-fluid interaction problem with a nonlinear rigid lid condition on the joint boundary when one or both flows are at a high Reynolds number. To do so, we tr y to combine the Approximate Deconvolution Model of turbulence with a partitioned method of [1], called the Geometric Averaging. The nonlinear interface condition poses an extra difficulty, as there are different approaches to modeling the Reynolds stresses on the joint bounda r y of the two flows. We investigate three such approaches; a l l three models are shown to be quantitatively similar when tested on a model with a manufactured solution. Two of them are proven to be unconditionally stable, and yet it is the third model that clearly outperforms the others in the most computationally appealing case when high Reynolds number flow s are modeled on a coarse mesh with large filtering width.