A CONSERVATIVE STABLE SMOOTHNESS-ENHANCING FREE-LAGRANGIAN METHOD

In this paper a two-dimensional free-Lagrangian method for modeling compressible fluid flows is presented. Within the traditional general approach, combining a flexible reconnected triangular mesh with a finite difference algorithm, several new important numerical techniques are developed to enhance stability and smoothness of the method. 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. © 1993 by Academic Press, Inc.