ANALOGY-BASED METHOD FOR SOLVING COMPRESSIBLE AND INCOMPRESSIBLE FLOWS

The different natures of compressible and incompressible governing equ ations of fluid how generally classify the solution methods into two m ain categories of compressible and incompressible methods. The main pu rpose of this paper is to introduce an analogy that extends incompress ible methods to solve compressible flows using the analogy of now equa tions. In this analogy, the selected momentum component variables play a significant role in transferring the individual characteristics of the two formulations to a common basis. To develop the methodology, a control-volume-based finite element approach is used to solve the gove rning differential equations for a collocated grid distribution. The d efinition of two types of mass flux components at the surfaces of the control volume removes the possibility of velocity-pressure decoupling in the Euler limit. The analogy-based method is demonstrated by testi ng a number of selected cases. A highly recirculating problem, entranc e flow, and the nozzle now are among those for which results are prese nted here. These results demonstrate excellent performance of the anal ogy and the resulting methodology.