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The Galerkin method applied to convective instability problems
Journal of Fluid Mechanics
The Galerkin method is applied in a new way to problems of stationary and oscillatory convective instability. By retaining the time derivatives in the equations rather than assuming an exponential time-dependence, the exact solution is approximated by the solution to a set of ordinary differential equations in time. Computations are simplified because the stability of this set of equations can be determined without finding the detailed solution. Furthermore, both stationary and oscillatorydoi:10.1017/s0022112068002454 fatcat:7nhvbuvb5neazdesfpujw6mdye