Comparison of Euler and Modified Tsp Solutions for Unsteady Transonic Flow Calculations

Abstract

Many prediction methods have been developed for the transonic flow calculations, most of them solve the Euler equations. The solution of Euler equations is usually complex and takes long computer time. However, in many practical applications, viz, flutter calculation faster transonic flow calculation is preferred. One such approach is based on modified transonic small perturbation (TSP) theory approach. Here in this paper modified TSP theory incorpo- rating entropy and vorticity effects has been studied by comparing the results with those of Euler equations. The paper presents the description of both the Euler solver and the TSP solver incorporating entropy vorticity effects. The calculated results have been compared with the available experimental results or with available Euler results from literatures. The comparison shows good agreement with the experimental data as well as available data from open literature. The modified TSP code provides acceptable accuracy for most transonic flow calculations. Thus in most cases long computation involved in Euler code can be avoided.