3D Unsteady Flow: approximation to Ekman layer (P.R. Spalart, J.Fluid Mech. 205, 319) Free-stream velocity components are U,inf = U,0 cos(ft) and W,inf = U,0 sin(ft). U and W (and all six Reynolds stresses) are non-zero, but are functions of y and t only, not of x and z (so V = 0 by continuity). A program capable of computing steady flow over infinite swept wings (z coordinate along generators and d[ ]/dz=0) could be adapted: Ud[ ]/x becomes d[ ]/dt; Vd[ ]/dy and Wd[ ]/dz are zero - for different reasons - and the program can be stepped in time instead of marching in x. Notation is explained in the JFM paper, especially para. 3.1: the defining Reynolds number, Rl, is U,0 [2/(f*nu)]^(1/2) where f is in rad/sec not Hz: it is independent of time. The length scale,delta = (Utau)/f, is quite close to the physical thickness: y- = y/delta. Rt = (Utau)*(delta)/nu. Phi0 (phi* in the JFM paper, eq. 18) is related to the direction of the surface shear stress, alpha = lim tan^1 (W/U) by eq. 18: it is not relevant to the computations. Rl Utau Phi0 Rt 766.51428 0.05580 0.30867 914.74451 === Part 1 === FIG 5 AND 7: y- U/Uref W/Uref yplus U+ W+ 0.0000e+00 0.2737e-14 -0.4621e-14 0.0000e+00 0.2157e-13 -0.9379e-13 0.1426e-03 0.6799e-02 0.2602e-02 0.1305e+00 0.1302e+00 0.7412e-02 0.4782e-03 0.2283e-01 0.8645e-02 0.4374e+00 0.4369e+00 0.2329e-01 0.1006e-02 0.4800e-01 0.1795e-01 0.9202e+00 0.9173e+00 0.4514e-01 0.1726e-02 0.8228e-01 0.3025e-01 0.1579e+01 0.1569e+01 0.6851e-01 0.2640e-02 0.1255e+00 0.4515e-01 0.2415e+01 0.2388e+01 0.8776e-01 0.3747e-02 0.1768e+00 0.6215e-01 0.3427e+01 0.3358e+01 0.9848e-01 0.5049e-02 0.2348e+00 0.8052e-01 0.4618e+01 0.4448e+01 0.9637e-01 0.6546e-02 0.2970e+00 0.9935e-01 0.5988e+01 0.5612e+01 0.7916e-01 0.8240e-02 0.3601e+00 0.1177e+00 0.7538e+01 0.6789e+01 0.4890e-01 0.1013e-01 0.4210e+00 0.1347e+00 0.9269e+01 0.7921e+01 0.8048e-02 0.1223e-01 0.4772e+00 0.1498e+00 0.1118e+02 0.8963e+01 -0.4046e-01 0.1452e-01 0.5274e+00 0.1627e+00 0.1328e+02 0.9891e+01 -0.9261e-01 0.1702e-01 0.5713e+00 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