Least Square Kinetic Upwind Method (LSKUM) belongs to the class of mesh-less method that solves compressible Euler equations of gas dynamics. LSKUM is kinetic theory based upwind scheme that operates on any cloud of points. ...

In the present work, an Implicit Gradient Reconstruction (IGR) method is proposed in the context of Finite Volume Methodology (FVM). There are three computationally intensive steps involved in a typical finite volume ...