Hydrodynamic potentials for a free boundary-value problem of incompressible viscous fluids
Abstract
The free-boundary-value problem of the Navier-Stokes equations for an incompressible-viscous-fluid droplet with compact boundaries, studied by Solonnikov and Shchadilov (1973) and Bemelmans (1981), is analyzed using a boundary-integral-equation approach. A potential theory is developed by analogy to the treatment of elasticity by Kupradze et al. (1979), starting from the Green representation formula for regular solutions of the homogeneous Stokes equations, and a theoretical foundation for the numerical solution of the problem is established.
- Publication:
-
Gesellschaft angewandte Mathematik und Mechanik Jahrestagung Goettingen West Germany Zeitschrift Flugwissenschaften
- Pub Date:
- 1985
- Bibcode:
- 1985GMMWJ..65..340H
- Keywords:
-
- Boundary Value Problems;
- Computational Fluid Dynamics;
- Incompressible Fluids;
- Navier-Stokes Equation;
- Boundary Integral Method;
- Potential Theory;
- Viscous Fluids;
- Fluid Mechanics and Heat Transfer