Garcke, Harald and Hinze, Michael and Kahle, Christian (2016) A stable and linear time discretization for a thermodynamically consistent model for two-phase incompressible flow. APPLIED NUMERICAL MATHEMATICS, 99. pp. 151-171. ISSN 0168-9274, 1873-5460
Full text not available from this repository. (Request a copy)Abstract
A new time discretization scheme for the numerical simulation of two-phase flow governed by a thermodynamically consistent diffuse interface model is presented. The scheme is consistent in the sense that it allows for a discrete in time energy inequality. An adaptive spatial discretization is proposed that conserves the energy inequality in the fully discrete setting by applying a suitable post processing step to the adaptive cycle. For the fully discrete scheme a quasi-reliable error estimator is derived which estimates the error both of the flow velocity, and of the phase field. The validity of the energy inequality in the fully discrete setting is numerically investigated. (C) 2015 IMACS. Published by Elsevier B.V. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DIFFUSE-INTERFACE MODEL; 2-DIMENSIONAL BUBBLE DYNAMICS; NAVIER-STOKES EQUATIONS; BENCHMARK COMPUTATIONS; NEWTON METHOD; FREE-ENERGY; SYSTEM; FLUIDS; APPROXIMATIONS; DENSITIES; Two-phase flow; Diffuse-interface models; Stable discretization scheme; Cahn-Hilliard Navier-Stokes model; Adaptive meshing |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Harald Garcke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 01 Mar 2019 12:36 |
| Last Modified: | 11 Mar 2019 12:28 |
| URI: | https://pred.uni-regensburg.de/id/eprint/2264 |
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