A mesh-less Method for Unsteady Compressible Flow Calculations

A mesh-less method is presented for numerical solution of unsteady compressible inviscid flows including moving boundaries. The Taylor series least-square method is used for approximation of spatial derivatives in two-dimensional arbitrary Lagarangian–Eulerian formulation at each node which leads to a central difference discretization. Artificial dissipation terms are used in this work to stabilize the discretized equations. The distributed points are moved based on the boundary movement. A dual-time implicit mesh-less scheme is developed for solution of the equations. Finally, the flow over moving of airfoils at subsonic and transonic conditions are simulated. Results indicate good agreement with the experimental and alternative numerical data