Abstract
THE NON-STATIONARY potential flow of an ideal incompressible fluid with moving solid and free boundaries, described as a non-linear boundary value problem for a harmonic function, is discussed. The algorithm of the numerical solution splits up the problem: at each time step the harmonic function is found as the solution of a linear mixed problem in a specified domain, then the deformation of the boundary and the variation of the boundary values are’ calculated. The problem is solved by a numerical method using a rectangular mesh. The boundary conditions on the movable curvilinear boundary are approximated with a second-order error. An example is given of the fall of a disk and plate into water; the results are compared with experiment.
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