... reach the smallest time-step. Again if we are within the shock at a depth where there is an upstream propagating wave (subcritical), is there a Courant number C that has a relative speed greater ... indicates nondimensional quantities and o as a subscript indicates a constant, and These equations can be diagonalized by defining a new variable such that P :A~ P, = A, where Chapter ... amplitude portrait shows substantial damping for larger C and for the shorter wavelengths (or alternatively the poorer resolution). The large damp- ing at a wavelength of 2Ax is important,...