Name
Title | ||
|---|---|---|
First-order system least squares and the energetic variational approach for two-phase flow |
Abstract | ||
|---|---|---|
This paper develops a first-order system least-squares (FOSLS) formulation for equations of two-phase flow. The main goal is to show that this discretization, along with numerical techniques such as nested iteration, algebraic multigrid, and adaptive local refinement, can be used to solve these types of complex fluid flow problems. In addition, from an energetic variational approach, it can be shown that an important quantity to preserve in a given simulation is the energy law. We discuss the energy law and inherent structure for two-phase flow using the Allen-Cahn interface model and indicate how it is related to other complex fluid models, such as magnetohydrodynamics. Finally, we show that, using the FOSLS framework, one can still satisfy the appropriate energy law globally while using well-known numerical techniques. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.jcp.2011.05.002 | J. Comput. Physics |
Keywords | Field | DocType |
adaptive local refinement,complex fluid model,first-order system,nested iteration,multiphase,multiphase flow,energetic variational approach,first-order system least squares,energy law,fosls framework,algebraic multigrid,two-phase flow,numerical technique,allen-cahn interface model,well-known numerical technique,appropriate energy law,complex fluid flow problem,two phase flow,complex fluid,satisfiability,magnetohydrodynamics | Least squares,Discretization,Mathematical optimization,Mathematical analysis,Flow (psychology),Multiphase flow,Complex fluid,Magnetohydrodynamics,Two-phase flow,Multigrid method,Mathematics | Journal |
Volume | Issue | ISSN |
230 | 17 | Journal of Computational Physics |
Citations | PageRank | References |
1 | 0.38 | 10 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| J. H. Adler | 1 | 56 | 10.02 |
| J. Brannick | 2 | 44 | 4.42 |
| C. Liu | 3 | 21 | 4.81 |
| T. Manteuffel | 4 | 41 | 25.92 |
| L. Zikatanov | 5 | 4 | 0.95 |