Tests a new numerical method for solving gas-dynamics equations, suggesting potential improvements in computational accuracy.
The work presents a mathematical description and testing of a numerical method for solving gas-dynamics equations (Euler equations). This mathematical method is based on the nonlinear compact polynomial computational method. It should also be noted that, to find the solution to the gas-dynamics equations, a transition was made (in the vicinity of the computational cell Ω ᵢ ) in a local curvilinear coordinate system. An initial verification of the numerical method proposed in the work was carried out.
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Kuzenov et al. (2026) studied this question.
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