Shape optimization approaches to free-surface problems
نویسندگان
چکیده
منابع مشابه
Shape Optimization Approaches to Free Surface Problems
Three different reformulations of a free surface problem as shape optimization problems are considered. These give rise to three different cost functionals which apparently have not been exploited in literature. The shape derivatives of the cost functionals are explicitly determined. The gradient information is combined with the boundary variation method in a steepest descent algorithm to solve...
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In this work we consider diierent formulations for a free boundary problem and analyze the related numerical methods. In particular, we formulate various shape optimization problems that are weak forms of a free boundary problem and analyze their properties using the tools of 'shape calculus'. The main result is that it is possible to innuence the conditioning of the shape cost functional and t...
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ژورنال
عنوان ژورنال: International Journal for Numerical Methods in Fluids
سال: 2014
ISSN: 0271-2091
DOI: 10.1002/fld.3876