Compressible-Flow Modeling with Pseudo Bond Graphs

A finite lump pseudo bond graph scheme for isothermal and isentropic pipe flows of ideal gas is developed on the basis of the governing differential equations and an assumption of staggered spatial profiles for the variables. Element constitutive relationships are formally derived. A new REACTANCE element is defined to model convective acceleration. The bond graph structure is simple. State equations derived by using the bond graph scheme have guaranteed convergence to the continuous equations as the lump size approaches zero.