Comparison of the Compound Matrix and Orthonormalisation Methods for Calculating the Stability of Heated Water Boundary Layers

摘要

A fourth-order eigenvalue finder for calculating the stability of heated water boundary layers has been developed from a sixth-order orthonormalisation method supplied by British Maritime Technology (BMT) Ltd. Comparisons have been made with a fourth-order eigenvalue finder based on the compound matrix method, also supplied by BMT, and the original sixth-order method. All the methods give similar results but there appear to be some numerical problems at high values of surface overheat.