Abstract
This chapter illustrates construction of a numerical method based on flux–difference splitting LU decomposition, implicit high-resolution third-order essentially nonoscillatory (ENO) schemes for efficient computations of steady-state solution to the three-dimensional, incompressible Navier–Stokes equations in curvilinear coordinates. The flow fields over underwater axisymmetric bodies with a fairwater and four stem appendages are also calculated. The third-order-accurate efficient ENO is applied in the calculations, which can capture the details of the flow field around underwater bodies with full appendages. The numerical results agree quite well with the experimental data. The numerical results show that the circumferential-mean nondimensional velocity profiles at propeller are in good agreement with the experimental data, which can be satisfied with the need of wake profile accuracy in the design of propuslor blade. The schemes and code developed in the chapter can be applied in the design of underwater vehicle propulsor and in the optimization and evaluation of its hydrodynamics noise. Also, the code can be used in the optimization and design of shapes of vehicle body and its appendages.
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