A projection based variational multiscale method for a fluid–fluid interaction problem

Download

index.pdf

Date

2020-06-15

Author

Ağgül, Mustafa
Eroğlu, Fatma Güler
Kaya Merdan, Songül
Labovsky, Alexer E.

Metadata

Show full item record

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Item Usage Stats

293
views

110
downloads

The proposed method aims to approximate a solution of a fluid–fluid interaction problem in case of low viscosities. The nonlinear interface condition on the joint boundary allows for this problem to be viewed as a simplified version of the atmosphere–ocean coupling. Thus, the proposed method should be viewed as potentially applicable to air–sea coupled flows in turbulent regime. The method consists of two key ingredients. The geometric averaging approach is used for efficient and stable decoupling of the problem, which would allow for the usage of preexisting codes for the air and sea domain separately, as “black boxes”. This is combined with the variational multiscale stabilization technique for treating flows at high Reynolds numbers. We prove the stability and accuracy of the method, and provide several numerical tests to assess both the quantitative and qualitative features of the computed solution.

Subject Keywords

Mechanical Engineering, General Physics and Astronomy, Mechanics of Materials, Computational Mechanics, Computer Science Applications

URI

https://hdl.handle.net/11511/56239

Journal

Computer Methods in Applied Mechanics and Engineering

DOI

https://doi.org/10.1016/j.cma.2020.112957

Collections

Department of Mathematics, Article

Suggestions

OpenMETU
Core

A fully implicit finite element method for bidomain models of cardiac electromechanics Dal, Hüsnü; Göktepe, Serdar (Elsevier BV, 2013-01-01) We propose a novel, monolithic, and unconditionally stable finite element algorithm for the bidomain-based approach to cardiac electromechanics. We introduce the transmembrane potential, the extracellular potential, and the displacement field as independent variables, and extend the common two-field bidomain formulation of electrophysiology to a three-field formulation of electromechanics. The intrinsic coupling arises from both excitation-induced contraction of cardiac cells and the deformation-induced gen...
The finite element method for MHD flow at high Hartmann numbers Nesliturk, AI; Tezer, Münevver (Elsevier BV, 2005-01-01) A stabilized finite element method using the residual-free bubble functions (RFB) is proposed for solving the governing equations of steady magnetohydrodynamic duct flow. A distinguished feature of the RFB method is the resolving capability of high gradients near the layer rep-ions without refining mesh. We show that the RFB method is stable by proving that the numerical method is coercive even not only at low values but also at moderate and high values of the Hartmann number. Numerical results confirming t...
A modular regularized variational multiscale proper orthogonal decomposition for incompressible flows Eroglu, Fatma G.; Kaya Merdan, Songül; Rebholz, Leo G. (Elsevier BV, 2017-10-01) In this paper, we propose, analyze and test a post-processing implementation of a projection-based variational multiscale (VMS) method with proper orthogonal decomposition (POD) for the incompressible Navier-Stokes equations. The projection-based VMS stabilization is added as a separate post-processing step to the standard POD approximation, and since the stabilization step is completely decoupled, the method can easily be incorporated into existing codes, and stabilization parameters can be tuned independe...
The use of dual reciprocity boundary element method in coupled thermoviscoelasticity Baranoglu, Besim; Mengi, Yalcin (Elsevier BV, 2006-01-01) A boundary element formulation is presented in a unified form for the analysis of thermoviscoelasticity problems. The formulation contains the thermoelastic material as a special case. The boundary-only nature of boundary element method is retained through the use of particular integral method; where the particular solutions are evaluated with the aid of dual reciprocity approximation. The proposed formulation can be used in both coupled and uncoupled thermoviscoelasticity analyses, and it permits performin...
An adaptive fully discontinuous Galerkin level set method for incompressible multiphase flows KARAKUS, Ali; WARBURTON, Tim; AKSEL, MEHMET HALUK; Sert, Cüneyt (Emerald, 2018-01-01) Purpose This study aims to focus on the development of a high-order discontinuous Galerkin method for the solution of unsteady, incompressible, multiphase flows with level set interface formulation.

Citation Formats

M. Ağgül, F. G. Eroğlu, S. Kaya Merdan, and A. E. Labovsky, “A projection based variational multiscale method for a fluid–fluid interaction problem,” Computer Methods in Applied Mechanics and Engineering, pp. 0–0, 2020, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/56239.