Vanin V. Mathematical simulation of unsteady aero - electrodynamic processes on the basis of the monotone difference schemes

Object - gas dynamic and electromagnetic fields in components of power installations, aircraft and electronic devices, as well as difference schemes with monotonising functions. Objective - development and substantiation of methods of building difference schemes with limiting functions, and their effective employment for numerical investigation of the features of the suggested mathematical models of nonstationary aerodynamic and electrodynamic processes in the form of hyperbolic systems of partial derivative linear and nonlinear equations. Research method - analytical and numeric. Novelty - substantiation of the general approach to building limiting functions as solutions of the functional equation or systems of functional equations suggested for constructing monotonous difference schemes in the weal and classical approximation. Theoretical results - theoretical provisions, theorems, and algorithms for in-depth investigation of problems in monotonisation of difference schemes with increased approximation order. Practical results - implementation of developed mathematical models of aero and electrodynamic processes based on the difference schemes suggested in the form of software packages for numerical investigation of discontinuous solutions. Implementation level - the numerical investigation results are employed in developing advanced equipment and upgrading the existing one. Implementation area - power machine building, aircraft engine building, and the instrument-making industry.