A MODIFIED PRESSURE-BASED ALGORITHM TO SOLVE FLOW FIELDS WITH SHOCK AND EXPANSION WAVES

Abstract

The use of collocated grid schemes in control-volume-based methods has resulted in developing different strategies for coupling mass and momentum governing equations. Defining two different velocity components at cell faces is one remedy to suppress the possible checkerboard problem in the solution domain. These velocity components are widely known as convected and convecting velocities which are normally used in the momentum and mass governing equations, respectively. However, the linearization of the nonlinear governing equations generates a number of lagged velocity components which must be carefully treated in a manner to preserve the conceptual definition of the convected and convecting velocities. In this work, a new strategy is introduced which retains the original velocity definitions in the linearization. The performance of the new strategy is then investigated by testing the shock tube problem.