國家衛生研究院 NHRI:Item 3990099045/14249

NHRI > Institute of Biomedical Engineering and Nanomedicine > Maxim Solovchuk > Periodical Articles > Item 3990099045/14249

Please use this identifier to cite or link to this item: http://ir.nhri.org.tw/handle/3990099045/14249

Title:	Energy stable arbitrary lagrangian eulerian finite element scheme for simulating flow dynamics of droplets on non–homogeneous surfaces
Authors:	Ivančić, F;Solovchuk, M
Contributors:	Institute of Biomedical Engineering and Nanomedicine
Abstract:	An energy stable finite element scheme within arbitrary Lagrangian Eulerian (ALE) framework is derived for simulating the dynamics of millimetric droplets in contact with solid surfaces. Supporting surfaces considered may exhibit non–homogeneous properties which are incorporated into the governing system through generalized Navier boundary conditions (GNBC). Numerical scheme is constructed such that the counterpart of (continuous) energy balance holds on the discrete level. This ensures that no spurious energy is introduced into the discrete system, i.e. the discrete formulation is stable in the energy norm. The newly proposed scheme is numerically validated to confirm the theoretical predictions. Of a particular interest is the case of droplet on a non–homogeneous inclined surface. This case shows the capabilities of the scheme to capture the complex droplet dynamics (sliding and rolling) while maintaining stability during the long time simulation.
Date:	2022-08
Relation:	Applied Mathematical Modelling. 2022 Aug;108:66-91.
Link to:	http://dx.doi.org/10.1016/j.apm.2022.03.018
JIF/Ranking 2023:	http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=NHRI&SrcApp=NHRI_IR&KeyISSN=0307-904X&DestApp=IC2JCR
Cited Times(WOS):	https://www.webofscience.com/wos/woscc/full-record/WOS:000798238000004
Cited Times(Scopus):	https://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85127805224
Appears in Collections:	[Maxim Solovchuk] Periodical Articles

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