Name
Title | ||
|---|---|---|
Finite Element Discretization Error Analysis of a Surface Tension Force in Two-Phase Incompressible Flows |
Abstract | ||
|---|---|---|
We consider a standard model for a stationary two-phase incompressible flow with surface tension. In the variational formulation of the model a linear functional which describes the surface tension force occurs. This functional depends on the location and the curvature of the interface. In a finite element discretization method the functional has to be approximated. For an approximation method based on a Laplace-Beltrami representation of the curvature we derive sharp bounds for the approximation error. A new modified approximation method with a significantly smaller error is introduced. |
Year | DOI | Venue |
|---|---|---|
2007 | 10.1137/060667530 | SIAM J. Numerical Analysis |
Keywords | Field | DocType |
laplace-beltrami operator,sharp bound,new modified approximation method,finite element discretization method,surface tension,finite elements,two-phase incompressible flows,surface tension force,interface,standard model,smaller error,laplace-beltrami representation,two-phase flow,approximation error,finite element discretization error,continuum surface force technique,approximation method,laplace beltrami operator,functional dependency,two phase flow,finite element,incompressible flow | Discretization,Surface tension,Curvature,Linear form,Mathematical analysis,Finite element method,Incompressible flow,Numerical analysis,Approximation error,Mathematics | Journal |
Volume | Issue | ISSN |
45 | 4 | 0036-1429 |
Citations | PageRank | References |
13 | 1.77 | 7 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Sven Gross | 1 | 38 | 6.48 |
| Arnold Reusken | 2 | 305 | 44.91 |