A Residual Theorem Approach Applied to Stokes’ Problems with Generally Periodic Boundary Conditions including a Pressure Gradient Term

Figure 8

On the top, the viscous kinetic energy calculated with the approximate solutions of Xu and Bowen [5] is plotted with symbols and compared with the analytical solution, represented with solid line. On the top right, the magnifying of the comparison for short times. On the bottom, the difference between the two solutions. In abscissa, the time is nondimensional with frequency . The values of energy are multiplied for .