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Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface
Francis H. Harlow,J. Eddie Welch +1 more
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In this paper, 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.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 desiredread more
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Volume of fluid (VOF) method for the dynamics of free boundaries
C.W Hirt,B. D. Nichols +1 more
TL;DR: In this paper, the concept of a fractional volume of fluid (VOF) has been used to approximate free boundaries in finite-difference numerical simulations, which is shown to be more flexible and efficient than other methods for treating complicated free boundary configurations.
Journal ArticleDOI
A continuum method for modeling surface tension
TL;DR: In this paper, a force density proportional to the surface curvature of constant color is defined at each point in the transition region; this force-density is normalized in such a way that the conventional description of surface tension on an interface is recovered when the ratio of local transition-reion thickness to local curvature radius approaches zero.
Journal ArticleDOI
A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows
S.V. Patankar,D. B. Spalding +1 more
TL;DR: In this article, a general, numerical, marching procedure is presented for the calculation of the transport processes in three-dimensional flows characterised by the presence of one coordinate in which physical influences are exerted in only one direction.
Journal ArticleDOI
The immersed boundary method
TL;DR: This paper is concerned with the mathematical structure of the immersed boundary (IB) method, which is intended for the computer simulation of fluid–structure interaction, especially in biological fluid dynamics.
Journal ArticleDOI
Solution of the implicitly discretised reacting flow equations by operator-splitting
TL;DR: In this article, a non-iterative method for handling the coupling of the implicitly discretised time-dependent fluid flow equations is described, based on the use of pressure and velocity as dependent variables and is hence applicable to both the compressible and incompressible versions of the transport equations.
References
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Journal ArticleDOI
Methods in Computational Physics
Journal ArticleDOI
Part IV. An experimental study of the collapse of liquid columns on a rigid horizontal plane
J. C. Martin,W. J. Moyce +1 more
TL;DR: In this paper, an experimental study has been made of some aspects of the phenomena accompanying the collapse of liquid columns on to a rigid horizontal plane with air as the outer medium, including the two-dimensional collapse of rectangular and semicircular sections, and the three-dimensional axial collapse of right circular cylinders.
Journal ArticleDOI
Numerical Solution of the Problem of Vortex Street Development
Jacob E. Fromm,Francis H. Harlow +1 more
TL;DR: In this article, a method is described for the solution of time-dependent problems concerning the flow of viscous incompressible fluids in several space dimensions, using a high-speed computer for a finite-difference approximation to the partial differential equations of motion.
Journal ArticleDOI
Dynamics and Heat Transfer in the von Kármán Wake of a Rectangular Cylinder
Francis H. Harlow,Jacob E. Fromm +1 more
TL;DR: In this article, a numerical method has been used to solve the full equations for the motion of a viscous, heat-conducting, incompressible fluid flowing through a channel past a rectangular cylinder.