Shape Optimization Approaches to Free Surface Problems
نویسنده
چکیده
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 the shape optimization problems. Numerical results which compare the performance of the proposed cost functionals are presented.
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