Entropically damped artificial compressibility for the discretization corrected particle strength exchange method in incompressible fluid mechanics

Singh, Abhinav; Sbalzarini, Ivo F.; OBEIDAT, Anas

doi:10.1016/j.compfluid.2023.106074

Article (Scientific journals)

Entropically damped artificial compressibility for the discretization corrected particle strength exchange method in incompressible fluid mechanics

Singh, Abhinav; Sbalzarini, Ivo F.; OBEIDAT, Anas

2023 • In Computers and Fluids, 267, p. 106074

Peer Reviewed verified by ORBi

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https://hdl.handle.net/10993/57140

DOI
10.1016/j.compfluid.2023.106074

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Keywords :

General Engineering; General Computer Science

Abstract :

[en] We present a consistent mesh-free numerical scheme for solving the incompressible Navier–Stokes equations. Our method is based on entropically damped artificial compressibility for imposing the incompressibility con- straint explicitly, and the Discretization-Corrected Particle Strength Exchange (DC-PSE) method to consistently discretize the differential operators on mesh-free particles. We further couple our scheme with Brinkman penalization to solve the Navier–Stokes equations in complex geometries. The method is validated using the 3D Taylor–Green vortex flow and the lid-driven cavity flow problem in 2D and 3D, where we also compare our method with hr-SPH and report better accuracy for DC-PSE. In order to validate DC-PSE Brinkman penalization, we study flow past obstacles, such as a cylinder, and report excellent agreement with previous studies.

Disciplines :

Mechanical engineering

Author, co-author :

Singh, Abhinav

Sbalzarini, Ivo F.

OBEIDAT, Anas ; University of Luxembourg

External co-authors :

yes

Language :

English

Title :

Entropically damped artificial compressibility for the discretization corrected particle strength exchange method in incompressible fluid mechanics

Publication date :

15 December 2023

Journal title :

Computers and Fluids

ISSN :

0045-7930

eISSN :

1879-0747

Publisher :

Elsevier

Volume :

267

Pages :

106074

Peer reviewed :

Peer Reviewed verified by ORBi

Focus Area :

Computational Sciences

Additional URL :

https://api.elsevier.com/content/article/PII:S0045793023002992?httpAccept=text/xml

FnR Project :

FNR14610324 - A Numerical Homogenisation Framework For Characterising Transport Properties In Stochastic Porous Media., 2020 (01/02/2021-31/01/2024) - Anas Obeidat

Name of the research project :

R-AGR-3952 - C20/MS/14610324-PorSol (01/02/2021 - 31/01/2024) - OBEIDAT Anas

Funders :

FNR - Fonds National de la Recherche

Funding number :

C20/MS/14610324

Available on ORBilu :

since 16 October 2023

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