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Numerical implementation of nonstationary axisymmetric problems of an ideal incompressible fluid with a free surface. (English. Russian original) Zbl 1457.76124

J. Appl. Mech. Tech. Phys. 60, No. 2, 382-391 (2019); translation from Prikl. Mekh. Tekh. Fiz. 60, No. 2, 226-237 (2019).
Summary: A fundamentally new unsaturated technique for the numerical solution of the Dirichlet-Neumann problem for the Laplace equation was developed. This technique makes it possible, due to the smoothness of the sought solution of the problem, to take into account the axisymmetric specificity of the problem which is an insurmountable obstacle to any saturated numerical methods, i.e., methods with a leading error term.

MSC:

76M99 Basic methods in fluid mechanics
76B07 Free-surface potential flows for incompressible inviscid fluids
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References:

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