Title: An improved CE/SE scheme for incompressible multiphase flows and its applications

Authors: Duoxing Yang; Deliang Zhang

Addresses: Research Institute of Innovative Technology for the Earth, 9-2, Kizugawadai, Kizugawa-Shi, Kyoto, 619-0292, Japan; Key Laboratory of Crustal Dynamics, Institute of Crustal Dynamics, Chinese Earthquake Administration, P.O. Box 2855, Beijing, 100085, China ' Institute of Mechanics, Chinese Academy of Sciences, No. 15 Beisihuanxi Road, Beijing, 100190, China

Abstract: A new space-time conservation element-solution element (CE/SE) scheme, which is based on the hexahedron mesh, is proposed by constructing a new structure of solution elements (SEs) and conservation elements (CEs) and extended to two-dimensional incompressible multiphase flows. This scheme is applied to several incompressible flow problems, such as lid-driven cavity flow, dam break flow, motions of falling droplets, flow instability and water-kerosene interaction. The numerical results and their comparison with lecture results and experimental data are presented. The comparisons demonstrate that the computational scheme developed currently is clear in physical concept, easy to be implemented and highly accurate and efficient for the above-mentioned problems. The highlight is that the pretreatment method is proposed, transforming the elliptic-parabolic equations to the hyperbolic equations, which can be directly simulated by the improved CE/SE scheme. Thus, the improved CE/SE scheme can be applied to incompressible multiphase flows widely.

Keywords: conservation elements; solution elements; CE-SE scheme; multiphase flow; incompressible flow; computational fluid dynamics; CFD; cavity flow; dam break flow; falling droplets; flow instability; water-kerosene interaction.

DOI: 10.1504/PCFD.2013.055057

Progress in Computational Fluid Dynamics, An International Journal, 2013 Vol.13 No.5, pp.285 - 295

Received: 08 May 2021
Accepted: 12 May 2021

Published online: 14 Jul 2013 *

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