Finite-difference schemes design and optimization by visualization methods

This paper presents the numerical-visual approach to hybrid finite-difference schemes design, optimization and verification. The proposed approach is based on multiple inverse problems solution and simultaneous construction of limitation surfaces for weight parameters of hybrid finite-difference scheme. Further analysis and transformation of these surfaces allow fast and effective optimization of hybrid finite-difference schemes properties. The way of practical application for this approach is shown for the supersonic wake flow problem. The results of computations are considered.