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The numerical simulation method.
Larsson: Two-dimensional CFD-analysis of micro-patt- erned surfaces in hydrodynamic lubrication: Journal of Tribology-Transactions of the ASME. 96–102(2005), p.127

Three new shapes of hull bow design for the multipurpose amphibious vehicle were conducted at several speeds to investigate the hydrodynamic phenomena using Computational Fluid Dynamics (CFD, RANS code) which is applied by Ansys-CFX14.0 and Maxsurf.
Initial resistance and flow visualization simulation showed that water enters into the driver compartment and that there is a need for a hydrodynamic bow shape in order to prevent water build-up at the front of the driver’s place [5].
The computational setting for using the ANSYS-CFX is tabulated in Table 3 as follows: Table 3: Computational setting Parameter Setting Computing 64-bit Desktop pc 16GB of RAM Simulation type Steady state Mesh type Unstructured hybrid (tetrahedral/prism) Turbulence model k-w (Shear stress transport) Wall modeling Automatic wall function based on a law of the wall formulation Advection scheme CFX high resolution Calm Water Resistance The calm water resistance needs to be established together with the added resistance for the different bow shapes to be able to evaluate the total performance of the design on a typical voyage.

., delta winglet.[1] described the 3-D numerical simulation to examine the effect of strike-angle and shape winglet vortex generator (WVG) for heat transfer.
They used the Pareto optimal approach or calculating the higher value of factors to attain the most significant heat transfer enrichment with low-pressure drop. [11] represented the performance of channel drift with dissimilar VGs connected to the lower surface by 3-D numerical simulations.
They used the ANSYS software to find out the heat transfer rate with the CFD module.
“Numerical Simulations of Performance of Plate Fin Tube Heat Exchanger Using Rectangular Winglet Type Vortex Generator with Punched Holes.”
“Numerical Simulation on Performances of Plane and Curved Winglet Type Vortex Generator Pairs with Punched Holes.”

The entire simulation process and its results are presented using the computer tool COMSOL Multiphysics 5.4.
"Numerical simulation of flow around diamond-shaped obstacles at low to moderate Reynolds numbers."
"Numerical simulation of forced convective heat transfer past a square diamond-shaped porous cylinder." 
"LBM simulation of unsteady flow and heat transfer from a diamond-shaped porous cylinder." 
"Finite Element Simulation of Newtonian and Non-Newtonian Fluid through the Parallel Plates Affixed with Single Screen."

The study for Tesla engine was conducted widely in analytical field, experiment field, and recently CFD field [5-9].
[9] Andrés Felipe Rey Ladino, Numerical Simulation of the Flow Field in a Friction-Type Turbine (Tesla Turbine), Diploma thesis of The Institute of Thermal Power plants, ViennaUniversity of Technology, Vienna, 2003

., Assessment of Closed-Wall Wind Tunnel Blockage Using CFD.
[12] Murad, N., Naser, J., Alam, F., Watkins, S., Simulation of Vehicle A-Pillar Aerodynamics using Various Turbulence Models.

Stream line simulation was implemented by means of Reynolds equation and the range of turbulence models (k-e, SST etc.) was applied for the calculation. 3D models of jet devices working fluid bodies for boiler-feed and ammoniac pumps correspondingly were created by means of SolidWorks Program Software on the first stage.
Calculation data preparation was implemented and computational grid was created by means of Ansys ICEM CFD Program Software [6] on the second stage.

According to Elyasi [9], the most convenient way to compare the experimental results from PIV with the CFD simulation predictions is at a steady state condition with fully developed flow at the entrance of the test section.

Introduction With the development of computational fluid dynamics (CFD), computational aided design technique (CAD), and optimization algorithms, one of the key problems in aerodynamic shape design which could meet the practical engineering demands is the geometric parameterization technique of good efficiency and robustness[1].
Fig 2 Original and Deformed Foil and Corresponding FFD Control Points Airfoil Optimization Design Flow Filed Numerical Simulation Method.

Using the commercial CFD tool, the rotor blades produced the desired turbine head, approximately, at the design condition of zero angular momentum at the exit section.
The rotating zone such as a guide vane and blade is set to a partial periodic domain in order to facilitate the numerical simulation.