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SmallAmpl itudeWave Solution
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approximate ATTN Blasius profile Blasius solution boundary-layer development coefficient combination Stokes-wave/flat-plate Commander Naval Sea conditions IV-16 consistent formulation requires cross-flow decelerating Different solution regimes displacement thickness dynamic boundary condition edge velocities equation VI-10 estimates for region finite-difference flow field flow separation fluid free surface z=0 free-surface boundary conditions Froude number grid points Iowa laminar flow mean free surface Naval Architecture Naval Sea Systems Navier-Stokes equations no-slip condition nondimensional normal Patel plate potential flow potential-flow free surface potential-flow region present investigation Proc Referring to figure region IV region very close requires the solution Reynolds number Reynolds stresses Sea Systems Command shear stress ship boundary layers ship forms shown in figure shows small-amplitude-wave solution small-cross-flow streamwise surface boundary conditions surface-piercing body symmetry-condition calculations Systems Command Washington tensor thin-boundary-layer equations thin-boundary-layer theory turbulence model turbulent flow turbulent kinetic energy turbulent-flow turbulent-kinetic-energy various cross-planes vector wave steepness wave-induced separation