A Generalized Arbitrary Lagrangian-Eulerian Method for Incompressible Flows with Sharp Interfaces
Abstract
A generalized mixed Lagrangian-Eulerian computing technique for incompressible fluid flows is presented. The present method combines the advantages of two existing techniques such that conservation of both linear and angular momentums is insured. New features include a damping formula, which effectively prevents the occurrence of alternating errors, and the formulation of discretized boundary conditions for a sharp fluid-fluid interface. Several examples are given to demonstrate the usefulness of the present method.
- Publication:
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Journal of Computational Physics
- Pub Date:
- March 1975
- DOI:
- Bibcode:
- 1975JCoPh..17..311C
- Keywords:
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- Computerized Simulation;
- Incompressible Flow;
- Iterative Solution;
- Liquid-Liquid Interfaces;
- Boundary Conditions;
- Boundary Value Problems;
- Error Analysis;
- Flow Stability;
- Flow Velocity;
- Laminar Flow;
- Numerical Integration;
- Numerical Stability;
- Relaxation Method (Mathematics);
- Solitary Waves;
- Surface Waves;
- Velocity Distribution;
- Water Waves;
- Wave Generation;
- Fluid Mechanics and Heat Transfer