论文信息 - A lagrangian method for calculating the dynamics of an incompressible fluid with free surface

A lagrangian method for calculating the dynamics of an incompressible fluid with free surface

Abstract A new method is presented for the numerical solution of the transient flow of viscous incompressible fluids having free surfaces. The method is based on Lagrangian coordinates in contrast to other methods, which use the Eulerian representation. Lagrangian coordinates permit the accurate treatment of fluid interfaces and free surfaces, and make it a simple matter to include the effects of surface tension. Several examples illustrate the properties of this new technique.

[1] Bart J. Daly,et al. A technique for including surface tension effects in hydrodynamic calculations , 1969 .

[2] Joseph B. Keller,et al. Standing surface waves of finite amplitude , 1960, Journal of Fluid Mechanics.

[3] F. Harlow,et al. Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface , 1965 .

[4] Francis H. Harlow,et al. Numerical Study of Large‐Amplitude Free‐Surface Motions , 1966 .

[5] Jacob E. Fromm,et al. Numerical Solution of the Problem of Vortex Street Development , 1963 .

[6] Carl E. Pearson,et al. A computational method for viscous flow problems , 1965, Journal of Fluid Mechanics.

[7] Khalid Aziz,et al. Numerical Solution of the Three-Dimensional Equations of Motion for Laminar Natural Convection , 1967 .

[8] C. W. Hirt,et al. Free-surface stress conditions for incompressible-flow calculations☆ , 1968 .

[9] C. W. Hirt. Heuristic stability theory for finite-difference equations☆ , 1968 .

[10] C. W. Hirt,et al. A general corrective procedure for the numerical solution of initial-value problems☆ , 1967 .