Abstract
A conservative form of Interpolated Differential Operator (IDO) scheme (IDO-CF) is presented for compressible and incompressible fluid dynamics. Fluid equations are solved for multi-moments those are volume integral, surface integral, line integral, and point value of conservative quantities. For Riemann problems of compressible fluid flow, the IDO-CF scheme gives the same or better results compared with Riemann solvers. Direct Numerical Simulation of incompressible turbulent flow shows that the proposed scheme has better resolution than that of non-conservative form of the IDO scheme.
