Finite element analysis of perturbed compressible flow

Abstract

The finite element representation of the linearized equations governing the steady compressible flow of an isentropic perfect gas is considered. The fully non‐linear system of equations is linearized on the basis of small perturbation theory. The finite element matrix equations for an arbitrary polygonal element are generated by the method of weighted residuals: Galerkin's criterion is used. As an example, a triangular element in two‐dimensional flow is treated in detail and numerical result for a sample problem are given.