Modeling surface tension in compressible flow on an adaptively refined mesh. (15th July 2019)

• Record Type: Journal Article
• Authors: Jibben, Z.; Velechovsky, J.; Masser, T.; Francois, M.M.
• Is Part Of: Computers & mathematics with applications. Volume 78:issue 2(2019)
• Page Start: 504
• Page End: 516
• Publication Date: 2019-07-15
• Subjects: Compressible flow -- Surface tension -- AMR; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2018.09.012
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: We present a numerical approach to model surface tension between immiscible materials within an inviscid compressible flow solver. The material interface is represented using the volume of fluid technique with piecewise-linear interface reconstructions. We employ the continuum surface force to model surface tension, and have implemented it in the context of the MUSCL-Hancock finite volume method for the Euler equations on an adaptively refined Eulerian mesh. We show results from droplet verification tests, the Rayleigh–Taylor instability linear regime, and simulate a 2D shock–droplet interaction.