An Exact Numerical Solution of the Three-dimensional Incompressible Turbulent Boundary-layer Equations
Author: Jesse Lee East
Publisher:
Published: 1970
Total Pages: 442
ISBN-13:
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An Implicit Numerical Solution of the Turbulent Three-dimensional Incompressible Boundary-layer Equations
Author: Felix J. Pierce
Publisher:
Published: 1971
Total Pages: 144
ISBN-13:
DOWNLOAD EBOOKA method of solving the three-dimensional, incompressible turbulent boundary-layer equations was developed using a Crank-Nicholson implicit finite-difference technique, with the turbulent stress terms modeled with an eddy-viscosity model obtained from mixing length theory. The method was applied to two three-dimensional flow geometries for which experimental data exists and a comparison with this data showed excellent agreement. A complete computer program was sufficiently generalized for application to two-dimensional laminar and turbulent flows with arbitrary pressure gradients. The method was applied to several such test cases and the solutions agreed well with both theory and experiment. An analysis was presented to determine the conditions for which the finite difference equations were stable and convergent. (Author).
An Implicit Numerical Solution of the Turbulent Three-dimensional Incompressible Boundary Layer Equations [by] F. J. Pierce and W. F. Klinksiek
Author: F J. Pierce
Publisher:
Published:
Total Pages: 144
ISBN-13:
DOWNLOAD EBOOKCalculation of Three-dimensional Boundary Layers on Ship Forms
Author: Kua C. Chang
Publisher:
Published: 1975
Total Pages: 220
ISBN-13:
DOWNLOAD EBOOKAn implicit finite difference technique, in curvilin ear-orthogonal surface coordinates, has been developed for the solution of the differential equations of three-dimensional laminar and turbulent boundary layers on ship forms. For turbulent flow, a two-layer eddy-viscosity model has been employed as the closure model. The initial and boundary conditions required to solve the equations and the stability and accuracy of the numerical method are discussed at some length. Two mathematically-defined simple three-dimensional ship forms are studied in some detail. These are a tri-axial ellipsoid and a double elliptic ship.
Analysis of the Three-dimensional Compressible Turbulent Boundary Layer on a Sharp Cone at Incidence in Supersonic and Hypersonic Flow
Author: John C. Adams
Publisher:
Published: 1972
Total Pages: 98
ISBN-13:
DOWNLOAD EBOOKAn analytical approach toward numerical calculation of the three-dimensional turbulent boundary layer on a sharp cone at incidence under supersonic and hypersonic flow conditions is presented. The theoretical model is based on implicit finite-difference integration of the governing three-dimensional turbulent boundary-layer equations in conjunction with a three-dimensional scalar eddy-viscosity model of turbulence. Comparison is made of present theory with detailed experimental measurements of the three-dimensional turbulent boundary-layer structure (velocity and temperature profiles), the surface streamline direction (obtained via an oil-flow technique) and surface heat-transfer rate.
Calculations of Three-dimensional Turbulent Boundary Layers Using the Crank-Nicolson Method
Author: P. A. Krogstad
Publisher:
Published: 1982
Total Pages: 60
ISBN-13:
DOWNLOAD EBOOKThis report describes the results of the three-dimensional turbulent boundary-layer calculations performed for the Eurovisc Workshop held in Berlin on 1 April 1982. It is shown that the present method, based on the Crank-Nicolson finite-difference scheme and a simple eddy-viscosity model for turbulence, yields satisfactory results provided regions of viscous-inviscid interaction, which were present in at least three of the four test cases, are avoided. (Author).
Three-dimensional, Time-dependent, Compressible, Turbulent, Integral Boundary-layer Equations in General Curvilinear Coordinates and Their Numerical Solution
Author: Timothy Wade Swafford
Publisher:
Published: 1983
Total Pages: 300
ISBN-13:
DOWNLOAD EBOOKA method is presented for computing three-dimensional, time-dependent, compressible, turbulent boundary layers in nonorthogonal curvilinear coordinates. An integral method is employed in the interest of computational speed and because the three-dimensional method is an extension of an existing two-dimensional method. After presenting a detailed derivation of the integral form of the boundary-layer equations, the necessary auxiliary relations are given along with the relationships between integral lengths expressed in streamline and nonorthogonal coordinates. A time dependent approach is used to account for time accuracy (if desired) and to provide a method that is compatible with the surface grid used by an inviscid solver for use in viscous-inviscid interaction calculations. The equations are solved using a Runge-Kutta scheme with local time stepping to accelerate convergence. Stability and convergence of the numerical scheme are examined for various space differences compared with measurements and with computations of previous investigators.
Computation of Incompressible, Three-Dimensional Turbulent Boundary Layers and Comparison with Experiment
Author: National Aeronautics and Space Administration (NASA)
Publisher: Createspace Independent Publishing Platform
Published: 2018-08-13
Total Pages: 32
ISBN-13: 9781725140189
DOWNLOAD EBOOKIncompressible three dimensional, turbulent boundary layer (3DTBL) experiments were simulated numerically by integrating the boundary layer equations together with an algebraic eddy viscosity turbulence model. For the flow treated, the downstream portion, where the crossflow was large, was not predicted with the present computational method; the flow was significantly influenced by elliptic flow field effects. Departures from the boundary layer concept are indicated. Calculations agreed reasonably well with the mean flow development up to separation. In one experiment the normal pressure gradients were found to be neligible in regions with large skewing and allowed testing turbulence models using the boundary layer equations. The simulation of this flow compared favorably with the experimental data throughout the flow field and suggested the applicability of algebraic eddy viscosity models for 3DTBLs. Mueller, U. R. Ames Research Center NASA-TM-84230, A-8873, NAS 1.15:84230 ...
Computation of Incompressible, Three-dimensional Turbulent Boundary Layers and Comparison with Experiment
Author:
Publisher:
Published: 1982
Total Pages: 32
ISBN-13:
DOWNLOAD EBOOKA General Method for Calculating Three-Dimensional Incompressible Laminar and Turbulent Boundary Layers. II. Three-Dimensional Flows in Cartesian Coordinates
Author: Tuncer Cebeci
Publisher:
Published: 1974
Total Pages: 37
ISBN-13:
DOWNLOAD EBOOKThe report presents a general method for computing three-dimensional laminar and boundary-layer flows in Cartesian coordinates. In the equations, the Reynolds shear stress terms are modeled by an eddy-viscosity formulation developed by the author. A very efficient two-point finite-difference method was used to solve the governing equations. The accuracy of the method is investigated for laminar and turbulent flows. (Author).
