Numerical solution of the free boundary Bernoulli problem using a level set formulation

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
Hauptverfasser: Bouchon, F., Clain, S., Touzani, R.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis of PDEs
Bernoulli problem
Exact sciences and technology
Free boundary problem
Fundamental areas of phenomenology (including applications)
Level sets
Mathematics
Physics
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Zusammenfassung: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.
ISSN:0045-7825
1879-2138
DOI:10.1016/j.cma.2004.09.008