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Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface
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.
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Citations
Cited by
Peskin, C. S. (2002) · Acta Numerica · doi:10.1017/s0962492902000077 · Cited by 4,603
ENHANCEMENTS OF THE SIMPLE METHOD FOR PREDICTING INCOMPRESSIBLE FLUID FLOWS
Van Doormaal, J. P., & Raithby, G. D. (1984) · Numerical Heat Transfer · doi:10.1080/01495728408961817 · Cited by 3,437
A front-tracking method for viscous, incompressible, multi-fluid flows
Unverdi, S. O., & Tryggvason, G. (1992) · Journal of Computational Physics · doi:10.1016/0021-9991(92)90307-k · Cited by 2,387
Flood inundation modelling: A review of methods, recent advances and uncertainty analysis
Teng, J., Jakeman, A. J., Vaze, J., Croke, B. F. W., Dutta, D., & Kim, S. (2017) · Environmental Modelling & Software · doi:10.1016/j.envsoft.2017.01.006 · Cited by 1,456
Symmetry-preserving discretization of turbulent flow
Verstappen, R. W. C. P., & Veldman, A. E. P. (2003) · Journal of Computational Physics · doi:10.1016/s0021-9991(03)00126-8 · Cited by 567
Metadata
- Authors
- Harlow, F. H., & Welch, J. E.
- Venue
- The Physics of Fluids
- Publisher
- AIP Publishing
- Published
- 1965-12-01
- Volume
- 8
- Issue
- 12
- Pages
- 2182-2189
- ISSN
- 0031-9171 (ISSN-L)
- OpenAlex
- W1966158133
- Cited by
- 5,977
- References
- 0
- FWCI
- 14.83
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface. https://app.cochat.ai/papers/10.1063/1.1761178
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- Harlow, F. H., & Welch, J. E. (1965). Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface. The Physics of Fluids. https://doi.org/10.1063/1.1761178
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