Steady Euler simulations using unstructured meshes

Computational methods for unstructured meshes are discussed. A synthesis between finite element, finite difference and finite volume methods is attempted. Synthesis schemes including centered or upwind schemes, Lax-Wendroff or method of lines, and explicit or implicit schemes are considered. Accuracy and efficiency of the schemes are compared with test problems using coarse meshes and simplified geometry: a channel with circular bump and a NACA 0012 aircraft. The upwind first order accurate schemes presented are cost effective and the linearization for the construction of implicit schemes is straightforward. The second order upwind scheme does not need to tune any parameter to obtain the results.