Abstract
A new technique is described for the numerical investigation of the time-dependent flow of an incompressible fluid, the boundary of which is partially confined and partially free. The full Navier-Stokes equations are written in finite-difference form, and the solution is accomplished by finite-time-step advancement. The primary dependent variables are the pressure and the velocity components. Also used is a set of marker particles which move with the fluid. The technique is called the marker and cell method. Some examples of the application of this method are presented. All non-linear effects are completely included, and the transient aspects can be computed for as much elapsed time as desired.
Keywords
CompressibilityPressure-correction methodFlow (mathematics)MechanicsFree surfaceIncompressible flowTransient (computer programming)Boundary (topology)MathematicsFluid dynamicsViscous liquidFinite difference methodBoundary value problemPhysicsMathematical analysisComputer science
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Publication Info
- Year
- 1965
- Type
- article
- Volume
- 8
- Issue
- 12
- Pages
- 2182-2189
- Citations
- 5816
- Access
- Closed
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Cite This
Francis H. Harlow,
J. Eddie Welch
(1965).
Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface.
The Physics of Fluids
, 8
(12)
, 2182-2189.
https://doi.org/10.1063/1.1761178
Identifiers
- DOI
- 10.1063/1.1761178