Journal ArticleDOI
Parabolic Procedure for Flows in Ducts with Arbitrary Cross Sections
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In this paper, a computer program was developed to predict three-dimensional compressible viscous flows in ducts with arbitrary cross-sectional shapes using a curvilinear boundary-fitted coordinate system.Abstract:
A computer program has been developed to predict three-dimensional compressible viscous flows in ducts with arbitrary cross-sectional shapes. A curvilinear boundary-fitted coordinate system is used to simplify boundary conditions. The parabolized Navier-Stokes equations are transformed, and the solution is marched down the duct using an iterative ADI procedure. Computed results are compared with test data for laminar test cases in square and round ducts. A two-equation turbulence model is demonstrated for a developing turbulent pipe flow. A comparison between predicted results and test data is presented for a turbulent diffuser flow with a rectanguiar-to-round transition in cross-sectional geometry.read more
Citations
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Journal ArticleDOI
Boundary-fitted coordinate systems for numerical solution of partial differential equations—A review
TL;DR: A comprehensive review of methods of numerically generating curvilinear coordinate systems with coordinate lines coincident with all boundary segments is given in this article, along with a general mathematical framework and error analysis common to such coordinate systems.
Journal ArticleDOI
A method for computing three dimensional flows using non‐orthogonal boundary‐fitted co‐ordinates
Clovis R. Maliska,G. D. Raithby +1 more
TL;DR: In this paper, an economical method of solving the equations of motion for two and three dimensional problems using non-orthogonal boundary-fitted meshes is described, which is intended for flows in which compressibility effects do not dominate.
Journal ArticleDOI
An Assessment of Numerical Solutions of the Compressible Navier-Stokes Equations
TL;DR: In this article, the authors defined the Jacobian of coordinate transformation as a Jacobian-of-coordinate transformation (JOTC) of a coordinate transformation with respect to specific heat conductivities.
Journal ArticleDOI
A semi-implicit calculation procedure for flows described in boundary-fitted coordinate systems
TL;DR: In this article, a semi-implicit numerical procedure is described for solving the Navier-Stokes equations in boundary-fitted coordinate systems, and applied to flows with a predominant flow direction.
Journal ArticleDOI
Rethinking the unity of science
TL;DR: This paper reconstructs the traditional systems notion of the unity of science to take account of criticisms that have been made of it over the years, and presents a pluralist theory that begins the job of freeing systems science from methodological and philosophical restrictions.
References
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Book
Boundary layer theory
TL;DR: The flow laws of the actual flows at high Reynolds numbers differ considerably from those of the laminar flows treated in the preceding part, denoted as turbulence as discussed by the authors, and the actual flow is very different from that of the Poiseuille flow.
Journal ArticleDOI
The numerical computation of turbulent flows
Brian Launder,D. B. Spalding +1 more
TL;DR: In this paper, the authors present a review of the applicability and applicability of numerical predictions of turbulent flow, and advocate that computational economy, range of applicability, and physical realism are best served by turbulence models in which the magnitudes of two turbulence quantities, the turbulence kinetic energy k and its dissipation rate ϵ, are calculated from transport equations solved simultaneously with those governing the mean flow behaviour.
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
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
Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme
TL;DR: Fromm's second-order scheme for integrating the linear convection equation is made monotonic through the inclusion of nonlinear feedback terms in this paper, where care is taken to keep the scheme in conservation form.
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