Computation of discontinuous solutions of fluid dynamics equations with entropy nondecrease guarantee

Годунов, С. К.; Kulikov, Igor

doi:10.1134/s0965542514060086

Cited by 59 publications

(31 citation statements)

References 13 publications

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“…It will be then possible to compute the gravitational field in the same way as for the gas flows using Intel Xeon Phi accelerators. A method based on a Cauchy-Kowalewskaya-type equation has been already tested for the expansion of a self-gravitating gas cloud [64,65]. This will be included in the AstroPhi code after publication of this paper.…”

Section: Discussionmentioning

confidence: 98%

AstroPhi: A code for complex simulation of the dynamics of astrophysical objects using hybrid supercomputers

Kulikov

Chernykh

Снытников

et al. 2015

Computer Physics Communications

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Section: Discussionmentioning

confidence: 98%

AstroPhi: A code for complex simulation of the dynamics of astrophysical objects using hybrid supercomputers

Kulikov

Chernykh

Снытников

et al. 2015

Computer Physics Communications

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“…К исследованию связи законов термодинамики с корректностью уравнений С. К. Годунов возвращался неоднократно, последние его результаты в этом направлении опубликованы в [54]- [57].…”

Section: математическая жизньunclassified

Сергею Константиновичу Годунову 85 Лет

Белых¹,

Brushlinskii²,

Vaskevich³

et al. 2015

Uspekhi Mat. Nauk

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“…In recent years, those methods that are in addition entropy dissipative (conservative) attract much attention, see, in particular, [1,Ch. 18,19], [6,8,13,14,15,17].…”

Section: Introductionmentioning

confidence: 99%

Verification of an Entropy Dissipative QGD-Scheme

Злотник

Ломоносов

2019

Mathematical Modelling and Analysis

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An entropy dissipative spatial discretization has recently been constructed for the multidimensional gas dynamics equations based on their preliminary parabolic quasi-gasdynamic (QGD) regularization. In this paper, an explicit finite-difference scheme with such a discretization is verified on several versions of the 1D Riemann problem, both well-known in the literature and new. The scheme is compared with the previously constructed QGD-schemes and its merits are noticed. Practical convergence rates in the mesh L1-norm are computed. We also analyze the practical relevance in the nonlinear statement as the Mach number grows of recently derived necessary conditions for L2-dissipativity of the Cauchy problem for a linearized QGD-scheme.

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Computation of discontinuous solutions of fluid dynamics equations with entropy nondecrease guarantee

Cited by 59 publications

References 13 publications

AstroPhi: A code for complex simulation of the dynamics of astrophysical objects using hybrid supercomputers

AstroPhi: A code for complex simulation of the dynamics of astrophysical objects using hybrid supercomputers

Сергею Константиновичу Годунову 85 Лет

Verification of an Entropy Dissipative QGD-Scheme

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