The Lagrangian Solution of Transient Problems in Hydrodynamics Using a Triangular Mesh
Abstract
Numerical algorithms for a Lagrangian treatment of incompressible hydrodynamics with free surfaces are developed and applied. The method centers about the use of a triangular generalconnectivity finitedifference mesh. The added flexibility arising from this triangular mesh permits accurate longtime solutions of complicated flows with shear and waves in freesurface problems. The techniques discussed here are applied to nonlinear freesurface waves and to unstable shear flow beneath a free surface in two dimensions.
 Publication:

Journal of Computational Physics
 Pub Date:
 May 1979
 DOI:
 10.1016/00219991(79)90069X
 Bibcode:
 1979JCoPh..31..173F
 Keywords:

 Algorithms;
 Finite Difference Theory;
 Hydrodynamic Equations;
 Surface Waves;
 Transient Response;
 Equations Of Motion;
 Free Boundaries;
 Mesh;
 Nonlinear Equations;
 Shear Flow;
 Stream Functions (Fluids);
 Wave Equations;
 Fluid Mechanics and Heat Transfer