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Author: H. A. Dwyer
Publisher:
ISBN:
Category : Finite differences
Languages : en
Pages : 33
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Author: H. A. Dwyer
Publisher:
ISBN:
Category : Finite differences
Languages : en
Pages : 33
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Book Description
Author: John James McGowan
Publisher:
ISBN:
Category : Laminar boundary layer
Languages : en
Pages : 210
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Book Description
Author: Samir Farid Radwan
Publisher:
ISBN:
Category : Fluid dynamics
Languages : en
Pages : 452
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Book Description
Author: Kua C. Chang
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 220
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Book Description
An 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.
Author: Z. U. A. Warsi
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 7
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Author: Felix J. Pierce
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 144
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Book Description
A 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).
Author: Long'an Ying
Publisher: World Scientific
ISBN: 9812772561
Category : Mathematics
Languages : en
Pages : 282
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Book Description
Preface -- 1. Exterior problems of partial differential equations. 1.1. Harmonic equation-potential theory. 1.2. Poisson equations. 1.3. Poisson equations-variational formulation. 1.4. Helmholtz equations. 1.5. Linear elasticity. 1.6. Bi-harmonic equations. 1.7. Steady Navier-Stokes equations-linearized problems. 1.8. Steady Navier-Stokes equations. 1.9. Heat equation. 1.10. Wave equation. 1.11. Maxwell equations. 1.12. Darwin model -- 2. Boundary element method. 2.1. Some typical domains. 2.2. General domains. 2.3. Subdivision of the domain. 2.4. Dirichlet to Neǔmann operator. 2.5. Finite part of divergent integrals. 2.6. Numerical approximation. 2.7. Error estimates. 2.8. Domain decomposition. 2.9. Boundary perturbation -- 3. Infinite element method. 3.1. Harmonic equation-two dimensional problems. 3.2. General elements. 3.3. Harmonic equation-three dimensional problems. 3.4. Inhomogeneous equations. 3.5. Plane elasticity. 3.6. Bi-harmonic equations. 3.7. Stokes equation. 3.8. Darwin model. 3.9. Elliptic equations with variable coefficients. 3.10. Convergence -- 4. Artificial boundary conditions. 4.1. Absorbing boundary conditions. 4.2. Some approximations. 4.3. Bayliss-Turkel radiation boundary conditions. 4.4. A lower order absorbing boundary condition. 4.5. Liao extrapolation in space and time. 4.6. Maxwell equations. 4.7. Finite difference schemes. 4.8. Stationary Navier-Stokes equations -- 5. Perfectly matched layer method. 5.1. Wave equations. 5.2. Bérenger's perfectly matched layers. 5.3. Stability analysis. 5.4. Uniaxial perfectly matched layers. 5.5. Maxwell equations. 5.6. Helmholtz equations -- 6. Spectral method. 6.1. Introduction. 6.2. Orthogonal systems of polynomials. 6.3. Laguerre spectral methods. 6.4. Jacobi spectral methods. 6.5. Rational and irrational spectral methods. 6.6. Error estimates
Author: Theo Geis
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 96
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Author: K. C. Wang
Publisher:
ISBN:
Category :
Languages : en
Pages : 38
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Book Description
Three-dimensional, incompressible, laminar boundary layer over a spinning blunt body of revolution at incidence and the associated Magnus forces are investigated. Complete solutions for two different, moderate and high, spin rates are obtained by an implicit finite-difference method. A great variety of the circumferential-velocity profiles are determined. Magnus force contributed from the circumferential skin friction and the centrifugal pressure are calculated. These two side-forces partly compensate each other. At lower spin rate, the friction force is larger resulting in a positive Magnus force. At higher spin rate, the opposite is obtained. The changes of the Magnus force from positive at lower spin rate to negative at higher spin rate was previously observed experimentally.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 182
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Book Description
