An Eulerian meshless method for two-phase flows with embedded geometries

Embedded geometries; Generalized finite difference method; Meshless methods; Two-phase flows; Directional flux; Discretizations; Embedded geometry; Eulerian; Generalized finite-difference method; Meshless; Minimisation; Spatial derivatives; Two phases flow; Analysis; Engineering (all); Computational Mathematics; Applied Mathematics; Physics - Fluid Dynamics

Abstract :

[en] We present a novel Eulerian meshless method for two-phase flows with arbitrary embedded geometries. The spatial derivatives are computed using the meshless generalized finite difference method (GFDM). The sharp phase interface is tracked using a volume fraction function. The volume fraction is advected using a method based on the minimization of a directional flux-based error. For stability, the advection terms are discretized using upwinding schemes. In the vicinity of the embedded geometries, the signed distance function is used to populate the surface of the geometries to generate a body-conforming point cloud. Consequently, the points on the boundaries participate directly in the discretization, unlike conventional immersed-boundary methods where they are either used to calculate momentum deficit (for example, continuous forcing) or conservation losses (for example, cut-cell methods). The boundary conditions are, therefore, directly imposed at these points on the embedded geometries, opening up the possibility for a discretization that is body-conforming and spatially varying in resolution, while retaining the consistency of the scheme. We present benchmark test cases that validate the method for two-phase flows, flows with embedded boundaries and a combination of both.

Disciplines :

Mechanical engineering
Engineering, computing & technology: Multidisciplinary, general & others

Author, co-author :

Bharadwaj, Anand S. ; Dept. of Applied Mechanics, Indian Institute of Technology Delhi, India

SUCHDE, Pratik ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Engineering (DoE)

Nair, Prapanch ; Dept. of Applied Mechanics, Indian Institute of Technology Delhi, India

External co-authors :

yes

Language :

English

Title :

An Eulerian meshless method for two-phase flows with embedded geometries

Publication date :

August 2024

Journal title :

Engineering Analysis with Boundary Elements

ISSN :

0955-7997

Publisher :

Elsevier Ltd

Volume :

165

Pages :

105772

Peer reviewed :

Peer Reviewed verified by ORBi

Focus Area :

Computational Sciences

Additional URL :

https://api.elsevier.com/content/article/PII:S0955799724002479?httpAccept=text/xml

Funders :

Science and Engineering Research Board

Funding text :

Anand S Bharadwaj would like to acknowledge the Science and Engineering Research Board (SERB) for funding through the National Post Doctoral Fellowship Scheme. Prapanch Nair would like to acknowledge the SERB for funding through the Startup Research Grant SRG/2022/000436 .

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since 09 July 2024

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