Numerical solution of the free boundary Bernoulli problem using a level set formulation
We present a numerical method based on a level set formulation to solve the Bernoulli problem. The formulation uses time as a parameter of boundary evolution. The level set formulation enables to consider nonconnected domains. Numerical experiments show the efficiency of the method if boundary condi...
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| Veröffentlicht in: | Computer methods in applied mechanics and engineering 2005-09, Vol.194 (36), p.3934-3948 |
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| container_issue | 36 |
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| container_title | Computer methods in applied mechanics and engineering |
| container_volume | 194 |
| creator | Bouchon, F. Clain, S. Touzani, R. |
| description | We present a numerical method based on a level set formulation to solve the Bernoulli problem. The formulation uses time as a parameter of boundary evolution. The level set formulation enables to consider nonconnected domains. Numerical experiments show the efficiency of the method if boundary conditions are handled accurately. In particular, the case of multiple solutions is treated. |
| doi_str_mv | 10.1016/j.cma.2004.09.008 |
| format | Article |
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| ispartof | Computer methods in applied mechanics and engineering, 2005-09, Vol.194 (36), p.3934-3948 |
| issn | 0045-7825 1879-2138 |
| language | eng |
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| source | Elsevier ScienceDirect Journals Complete |
| subjects | Analysis of PDEs Bernoulli problem Exact sciences and technology Free boundary problem Fundamental areas of phenomenology (including applications) Level sets Mathematics Physics |
| title | Numerical solution of the free boundary Bernoulli problem using a level set formulation |
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