A numerical algorithm for hydrodynamic free boundary problems. (English) Zbl 0770.76047
Summary: A generalized formulation of inviscid incompressible hydrodynamics as a system of conservation laws subject to a one-sided density constraint is used as the basis of a numerical algorithm for a variety of hydrodynamic free surface problems. Benchmark calculations for colliding masses of fluid and for the motion of a spherically symmetric bubble are compared with theoretical predictions. Also shown are profiles calculated for an evolving underwater bubble near a wall. Energy dissipation is introduced as a measure of turbulence and is used in analyzing the numerical results. Convergence behavior of the numerical algorithm is discussed.
MSC:
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
| 76N10 | Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics |
Keywords:
energy dissipation; convergence; density constraint; colliding masses of fluid; motion of a spherically symmetric bubble; turbulenceReferences:
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