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 general-connectivity finite-difference mesh. The added flexibility arising from this triangular mesh permits accurate long-time solutions of complicated flows with shear and waves in free-surface problems. The techniques discussed here are applied to nonlinear free-surface waves and to unstable shear flow beneath a free surface in two dimensions.
- Publication:
-
Journal of Computational Physics
- Pub Date:
- May 1979
- DOI:
- 10.1016/0021-9991(79)90069-X
- 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