Name
Abstract | ||
|---|---|---|
An adaptive finite element algorithm is described for the stable solution of three-dimensional free-surface-flow problems based primarily on the use of node movement. The algorithm also includes a discrete remeshing procedure which enhances its accuracy and robustness. The spatial discretisation allows an isoparametric piecewise-quadratic approximation of the domain geometry for accurate resolution of the curved free surface. The technique is illustrated through an implementation for surface-tension-dominated viscous flows modelled in terms of the Stokes equations with suitable boundary conditions on the deforming free surface. Two three-dimensional test problems are used to demonstrate the performance of the method: a liquid bridge problem and the formation of a fluid droplet. |
Year | DOI | Venue |
|---|---|---|
2005 | 10.1007/s10915-004-4611-0 | J. Sci. Comput. |
Keywords | Field | DocType |
stokes equation,three-dimensional test problem,finite element method,free-surface flow,three-dimensional free-surface-flow problem,accurate resolution,domain geometry,three-dimensional free-surface flow problems,discrete remeshing procedure,finite element simulation,moving grids.,curved free surface,adaptive finite element algorithm,deforming free surface,fluid droplet,free surface,boundary condition,surface tension,three dimensional | Boundary knot method,Boundary value problem,Discretization,Mathematical optimization,Free surface,Mathematical analysis,Extended finite element method,Finite element method,Robustness (computer science),Mathematics,Mixed finite element method | Journal |
Volume | Issue | ISSN |
24 | 2 | 0885-7474 |
Citations | PageRank | References |
3 | 0.60 | 1 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| M. A. Walkley | 1 | 4 | 3.04 |
| P. H. Gaskell | 2 | 4 | 1.00 |
| P. K. Jimack | 3 | 41 | 5.77 |
| M. A. Kelmanson | 4 | 3 | 0.60 |
| J. L. Summers | 5 | 9 | 1.49 |