Verification of a Chemical Nonequilibrium Flows Solver Using the Method of Manufactured Solutions

Abstract

This paper presents code verification of a chemically nonequilibrium flows solver using the method of manufacturedsolutions.The Method of Manufactured Solutions(MMS) is a general approach for creating exact solutions to the governing equations and can be used in the code verification process. In the MMS, the analytical solutions for the flow variables are first constructed, then the governing equations are modified to satisfy these solutions by adding appropriate source terms which are generated by applying the governing equations to these solutions. After that, code verification process will start. The order of accuracy of the calculations will be computed and compared with theoretical order of accuracy to determine if the code passes the verification test. We created manufactured solutions for two different sets of Euler equations. One set includes the total density equation plus ns-1 species equations and the other contains only species continuity equations. The results show that the form of continuity equations has little influence on the behaviour of global conservative variable errors as the mesh is refined. Our study also indicates that a complete chemical reaction model is preferred to ensure the convergence of observed order of accuracy is smooth in the order of accuracy test.