Abstract
It is proposed to generalize the CABARET method to a two-dimensional system of Euler equations. The transition from one-dimensional problems of gas dynamics to multidimensional ones for the CABARET scheme involves a number of innovative aspects. The first is a procedure for spatial splitting of an algorithm in order to calculate new flow variables. The second one is the specific application of the maximum principle aimed at regularizing the solutions for inhomogeneous equations of transfer of local invariants in different directions. Examples are given of test and model calculations.
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