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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Three-dimensional, fully adaptive simulations of phase-field fluid models

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Author(s):
Ceniceros, Hector D. [1] ; Nos, Rudimar L. [2] ; Roma, Alexandre M. [3]
Total Authors: 3
Affiliation:
[1] Univ Calif Santa Barbara, Dept Math, Santa Barbara, CA 93106 - USA
[2] Univ Tecnol Fed Parana, Dept Acad Matemat, BR-80230901 Curitiba, Parana - Brazil
[3] Univ Sao Paulo, Dept Matemat Aplicada, BR-05311970 Sao Paulo - Brazil
Total Affiliations: 3
Document type: Journal article
Source: Journal of Computational Physics; v. 229, n. 17, p. 6135-6155, AUG 20 2010.
Web of Science Citations: 36
Abstract

We present an efficient numerical methodology for the 31) computation of incompressible multi-phase flows described by conservative phase-field models We focus here on the case of density matched fluids with different viscosity (Model H) The numerical method employs adaptive mesh refinements (AMR) in concert with an efficient semi-implicit time discretization strategy and a linear, multi-level multigrid to relax high order stability constraints and to capture the flow's disparate scales at optimal cost. Only five linear solvers are needed per time-step. Moreover, all the adaptive methodology is constructed from scratch to allow a systematic investigation of the key aspects of AMR in a conservative, phase-field setting. We validate the method and demonstrate its capabilities and efficacy with important examples of drop deformation, Kelvin-Helmholtz instability, and flow-induced drop coalescence (C) 2010 Elsevier Inc. All rights reserved (AU)

FAPESP's process: 06/57099-5 - Hector Daniel Ceniceros | University of California at Santa Barbara - United States
Grantee:Alexandre Megiorin Roma
Support Opportunities: Research Grants - Visiting Researcher Grant - International