A conservative stable smoothness-enhancing free-Lagrangian method (Q1803277)

A two-dimensional free-Lagrangian method for modeling compressible fluid flows is presented. Characteristic features of the method are a new technique of additional mesh connections and a way of mapping variables from nodes to zones and back. A finite difference scheme is chosen to conserve different forms of energy. The implicit discrete equations are solved by a special iterative procedure. Four numerical examples, including flows with relatively complex internal structure, are considered.