ABSTRACT
This chapter describes the application of the support-operators method for construction of finite-difference schemes for gas dynamics equations in the Lagrangian form. It utilizes the Lagrangian form of gas dynamics equations when independent space variables refer to the coordinate system fixed in gas and undergo all the motions and distortion of the gas, in order that the particles of the gas are permanently identified by their Lagrangian variables. The most widespread method for a unified description of gas dynamical flows is the "pseudoviscosity" method. Equations of gas dynamics in Lagrangian form are formulated in terms of the first-order invariant differential operators div and grad. The state of the gas is also characterized by other parameters that are called thermodynamic parameters. The finite-difference method for calculation of time dependent flows has mostly been based on either the Eulerian or the Lagrangian form of the gas dynamics equations.
