Methods for calculating multidimensional, transient free surface flows past bodies
Abstract
Numerical methods for calculating multidimensional, transient, free surface flows interacting with general curved boundaries are discussed. To model a free surface effectively, three problems must be resolved compatibly: the surface must be numerically defined, a prescription must be provided to advance it in time, and appropriate boundary conditions must be applied at the location of the surface. Basic motions of Lagrangian and Eulerian finite difference representations are reviewed first. All the free surface schemes discussed are couched in one basic solution algorithm, a direct extension of the MarkerandCell method. A detailed description, including advantages and disadvantages, is given of free surface computational schemes that make use of the surface height function, surface marker particles, and the volume fraction and variable density schemes. An illustration is given of the added mass and damping coefficients computed for rectangular cylinders undergoing forced oscillation.
 Publication:

NASA STI/Recon Technical Report N
 Pub Date:
 1975
 Bibcode:
 1975STIN...7625526N
 Keywords:

 Multiphase Flow;
 Surface Properties;
 Boundary Conditions;
 Boundary Layer Flow;
 Cylindrical Bodies;
 EulerLagrange Equation;
 Fluid Mechanics and Heat Transfer