В работе исследуется стохастический метод генерации искусственных трехмерных, бездивергентных, однородных и изотропных полей скорости, основанный на рандомизированном спектральном методе. Анализируются статистические и спектральные свойства турбулентных полей, построенных с помощью данного генератора. Валидационный LES расчет, использующий полученные турбулентные поля в качестве начальных условий, демонстрирует хорошее совпадение результатов с экспериментальными данными.
This article deals with high-accuracy finite-difference schemes for hyperbolic equations, namely, dispersion-relation-preserving (DRP) scheme by Tam and Webb [J. Comput. Phys., 107 (1993), pp. 262-281] and its modifications by Bogey and Bailly [J. Comput. Phys., 194 (2004), pp. 194-214]. The technique of dispersion relation optimization is extended to equations at nearboundary nodes. The latter equations must approximate the dispersion of a governing scheme. Outflow and inflow artificial boundary conditions are constructed for the approximations to the transport equation and the Euler equations in both one and two dimensions. The stability analysis and test computations demonstrate the robustness of the algorithms proposed.
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