Multigrid balance models of unsteady flows in complex gas transportation systems

Multigrid variants are suggested for hierarchical flow distribution models to optimize unsteady conditions of gas transport at various levels of dispatcher control of the Unified Gas Supply System of Russia. The multigrid scheme based on the relaxation scheme by R. P. Fedorenko is used to increase calculative accuracy of multilevel methods for each level of the hierarchy of calculations. Generality of the approach is determined by the ease of construction of a multigrid structure and transition operators that provide high-precision discretization on coarse grids without preliminary smoothing and interpolation inherent in classical multigrid methods. The universal multigrid technique in the finite-volume discretization is suitable for objects described by equations with discontinuous and nonlinear coefficients and right members.