Journal ArticleDOI
A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows
S.V. Patankar,D. B. Spalding +1 more
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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.About:
This article is published in International Journal of Heat and Mass Transfer.The article was published on 1972-10-01. It has received 5946 citations till now. The article focuses on the topics: Continuity equation & Laminar flow.read more
Citations
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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.
Journal ArticleDOI
Progress in the development of a Reynolds-stress turbulence closure
TL;DR: In this article, the authors developed a model of turbulence in which the Reynolds stresses are determined from the solution of transport equations for these variables and for the turbulence energy dissipation rate E. Particular attention is given to the approximation of the pressure-strain correlations; the forms adopted appear to give reasonably satisfactory partitioning of the stresses both near walls and in free shear flows.
Journal ArticleDOI
Enhancements of the simple method for predicting incompressible fluid flows
J. P. Van Doormaal,G. D. Raithby +1 more
TL;DR: The performances of SIMPLE, SIMPLER, and SIMPLEC are compared for two recirculating flow problems and several modifications to the method are shown which both simplify its implementation and reduce solution costs.
Journal ArticleDOI
Numerical solution of saddle point problems
TL;DR: A large selection of solution methods for linear systems in saddle point form are presented, with an emphasis on iterative methods for large and sparse problems.
Book
Computational fluid dynamics : the basics with applications
TL;DR: A Thomas's algorithm for the solution of a tridiagonal system of Equations is described in this paper, as well as a detailed discussion of the future of Computational Fluid Dynamics.
References
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Journal ArticleDOI
Numerical Calculation of Time‐Dependent Viscous Incompressible Flow of Fluid with Free Surface
Francis H. Harlow,J. Eddie Welch +1 more
TL;DR: 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.
Journal ArticleDOI
Numerical solution of the Navier-Stokes equations
TL;DR: In this paper, a finite-difference method for solving the time-dependent Navier-Stokes equations for an incompressible fluid is introduced, which is equally applicable to problems in two and three space dimensions.
Journal ArticleDOI
Analytical and numerical studies of the structure of steady separated flows
TL;DR: In this paper, an analytical solution, based on a linearized model, is obtained for an eddy bounded by a circular streamline, which reveals the flow development from a completely viscous eddy at low Reynolds number to an inviscid rotational core at high Reynolds number, in the manner envisaged by Batchelor.
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