Approximate methods for solving problems in the dynamics of confined volumes of liquid
Abstract
The study is concerned with solving boundary value problems in the theory of the motion of solid bodies with cavities partially filled with an ideal incompressible liquid. Based on the energy approach, approximate methods for determining the dynamic characteristics of the liquid are proposed which can be implemented numerically for cavities of complex shapes, including asymmetric cavities. The qualitative theory of the problems considered is examined, as are the analytical properties of the solutions. Results are presented for cavities of both simple and complex shapes.
- Publication:
-
Kiev Izdatel Naukova Dumka
- Pub Date:
- 1984
- Bibcode:
- 1984KiIND....S....L
- Keywords:
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- Approximation;
- Computational Fluid Dynamics;
- Hydrodynamics;
- Liquid Filled Shells;
- Boundary Value Problems;
- Calculus Of Variations;
- Cavities;
- Equations Of Motion;
- Fourier Series;
- Free Vibration;
- Gravitational Waves;
- Helmholtz Equations;
- Ideal Fluids;
- Incompressible Fluids;
- Laplace Equation;
- Liquid Sloshing;
- Liquid Surfaces;
- Ritz Averaging Method;
- Solids;
- Fluid Mechanics and Heat Transfer