Abstract

Представлен явный численный алгоритм для разрешения звуковых точек в рамках схемы Кабаре. Звуковые точки характеризуются сменой знака хотя бы одной из характеристических скоростей. Потоки в узлах расчетной сетки, которым соответствуют звуковые точки, вычисляются путем решения задачи Римана о распаде разрыва. Подход успешно испытан на задачах со сверхзвуковым переходом на волне разрежения с разбеганием двух сверхзвуковых потоков и со сверхзвуковым обтеканием прямой ступеньки. An explicit numerical algorithm for resolving the sound points in the framework of the CABARET scheme is proposed. The sound points are characterized by a sign change in at least one of characteristic velocities. The flows in mesh nodes corresponding to sound points are calculated by solving the Riemann problem. This approach is successfully tested on a problem with sound transitions on rarefaction waves, on a problem with two diverging supersonic flows, and on a problem with supersonic flow over a forward facing step.

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