Developments of the Godunov Method: Explicit–ImplicitScheme, Aeroacoustics

Автор: Menshov Igor
Сборник: Continuum Mechanics, Applied Mathematics and Scientiﬁc Computing: Godunov’s Legacy
Год издания: 2020
Издательство: Springer Nature
Местоположение издательства: Switzerland
Первая страница: 277
Последняя страница: 282
DOI: 10.1007/978-3-030-38870-6_36
Аннотация: The present paper addresses the numerical method for solving the gas dynamics equations that has been proposed by S. K. Godunov almost 60 years ago. The method reads as a first-order explicit finite-volume scheme with the numerical flux approximation based on the exact solution to the Riemann problem. We consider the extension of the Godunov method to an unconditionally stable second-order accurate implicit–explicit time marching scheme, introduce the variational Riemann problem (VRP), and discuss possible applications of this problem to solving the hybrid implicit–explicit Godunov scheme and also problems of aeroacoustics.
Добавил в систему: Меньшов Игорь Станиславович

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