The Proceedings Fifth International Conference on Numerical Ship Hydrodynamics (1990) / Chapter Skim
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Numerical Simulation of Three-Dimensional Viscous Flow around a Submersible Body
Numerical Simulation of Three-Dimensional Viscous Flow around a Submersible Body
Pages 59-70
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From page 59... ...
Sundaram NASA Langley Research Center Hampton, USA Abst ract A second-order accurate, implicit, high resolution upwind scheme has been used to solve the three-di~nensional incompressible Navier-Stokes equations in general curvilinear coordinates for the steady-state computation of the flow field around axisym~netric hull geometries at high Reynolds numbers. A hybrid algorithm with relaxation in the streamwise direction and approximate factorization in the crossflow plane is used to reduce the temporal splitting error.
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From page 60... ...
The artificial compressibility parameter,6 monitors the error associated with the addition of the unsteady pressure terns If in the continuity equation which is needed for coupling the mass and momentum equations in order to make the system hyperbolic. For large values of,0 or when the solution of Eq.
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From page 61... ...
III. Numerical Flux Differencing It is well known that upwind schemes possess an inherent solution-adaptive dissipation that eliminates the addition and fine tuning of artificial dissipation terns for numerical stability and accuracy required in schemes based on central diIferencing.
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From page 62... ...
t = d~ag(<~ , ~Jr, ,>3, ¢74 ) I Discretization of the Viscous Fluxes To discretize the viscous fluxes, the derivatives at flee cell interfaces are approximated lil;e (U()
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From page 63... ...
For turbulent flow computations the lan~inar flow coefficients are replaced by, ~ = pi +pt (14) The turbulent viscosity coefficient lit iS computed by using the isotropic, two-layer Cebeci type algebraic eddy-viscosity model as reported by Baldwin-Lo~nax.
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From page 64... ...
The knowledge of the effective flow profile near the propeller plane and the amount of the added drag is essential for designing an efficient propulsor. In the past, extensive efforts have been made to study the interaction between a propeller and a thick boundary layer experimentally and computationally (4,5,C,7,8,17,184.
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From page 65... ...
To obtain a converged solution with the propeller model included, it does not require snore iteration steps in comparison with the case without including a propeller model. The method was also shown to simulate low speed vertical flow with good results.
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From page 66... ...
T., Santelli, N.,Belt, G., "Stern Boundary layer Flow on Axisy~nn~etric Bodies", Proceedings, 12th Office of Naval Research Symposium on Naval Hydrodynamics, Washington D.C., 1978, pp 127-157.
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From page 67... ...
Axial Velocity Profiles x/L = 0.846 ~/L = 0.914 ~/L = 0.934 x/L = 0.964 x/L = 0.977 _ ~ , ~,1 0 0.os o.oo 5 , 1 ~'t 1 1 ~7 0 1 0 1 0 1 0 1 0 1 ulV~ 0 0 0 Experiment (6b) Radial Velocity Profiles O
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From page 69... ...
12. Measured and Computed Circumferential Pressure Distributions
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