Inviscid finite-volume lambda formulation

Abstract

A finite-volume lambda formulation for solving Euler equations and able to handle compressible as well as transonic flow computations is presented. The easy extension of the methodology to the solution of Navier-Stokes equations is indicated. The integration scheme is in nonconservative form in smooth flow regions in order to take advantage of its superior accuracy and computational efficiency. It automatically switches to conservative form in shock regions, in order to capture them correctly. Computations of two- and three-dimensional shockless source flows prove the superior accuracy and computational efficiency of the proposed technique in comparison with a classical conservative upwind methodology. Moreover, computed results referring to some two- and three-dimensional test cases are compared with numerical or experimental published ones, thus showing the capabilities of the proposed formulation to deal with inviscid subsonic as well as transonic flow cases.