DiamondTorre GPU Implementation Algorithm of the RKDG Solver for Fluid Dynamics and its Using for the Numerical Simulation of the Bubble-shock Interaction Problem

Korneev, Boris; Levchenko, V. D.

doi:10.1016/j.procs.2015.05.314

Cited by 10 publications

(4 citation statements)

References 3 publications

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“…LRnLA алгоритмы применимы для создания высо-копроизводительных программных продуктов для моделирования различных физических задач [15][16][17]. В данной работе применяется вариант LRnLA алго-ритма DiamondTorre [17], адаптированный для схемы RKDG метода [10].…”

Section: алгоритм реализацииunclassified

“…Ранее описан алгоритм DiamondTorre для реализации аналогичной схемы, но в пренебрежении вязкостью и теплопро-водностью [9,10]. В настоящей работе указан способ модификации алгоритма для их учета на основе введения дополнительных подстадий для процедур рас-чета диссипативных членов.…”

Section: Introductionunclassified

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Simulating three-dimensional unsteady viscous compressible flow on GPU using the DiamondTorre algorithm

Korneev¹,

Levchenko

2018

KIAM Prepr.

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In this paper the approach to simulation of unsteady fluid dynamic problems in terms of the Navier-Stokes system of equations is considered. The numerical scheme is built using the Runge-Kutta discontinuous Galerkin method, approximating the viscous terms with the local discontinuous Galerkin method. A modification of the DiamondTorre algorithm is developped for the geterogeneous implementation of the scheme. The solver based on this algorithm is included into the DTGV software for solving three-dimensional fluid dynamic problems, the results of its validation and performance tests are given. An example of solving the problem of flow past a sphere in three-dimensional setting is presented.

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Section: алгоритм реализацииunclassified

Section: Introductionunclassified

Simulating three-dimensional unsteady viscous compressible flow on GPU using the DiamondTorre algorithm

Korneev¹,

Levchenko

2018

KIAM Prepr.

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“…Performance measurements of the solver show that the speed of computing is approximately dozens of millions of cells per second depending on the GPU performance rate. Such a high-efficiency rate enables calculation of a single task at a single PC or cluster node (Korneev and Levchenko 2015).…”

Section: Algorithm and Solvermentioning

confidence: 99%

“…The amount of detailed fully three-dimensional numerical experiments is held out on the 100 supercomputer in the Keldysh Institute with the help of the solver based on the Runge-Kutta discontinuous Galerkin (RKDG) numerical method of solving the fluid dynamics equations (Cockburn and Shu 2001) and the highperformance DiamondTorre GPU implementation algorithm (Perepelkina et al 2014). The solver is validated and produces accurate results with the highest performance rate (Korneev and Levchenko 2015).…”

Section: Introductionmentioning

confidence: 99%

Numerical simulation of increasing initial perturbations of a bubble in the bubble–shock interaction problem

Korneev

Levchenko

2016

Fluid Dyn. Res.

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A set of numerical experiments on the interaction between a planar shock wave and a spherical bubble with a slightly perturbed surface is considered. Spectral analysis of the instability growth is carried out and three-dimensional Euler equations of fluid dynamics are chosen as the mathematical model for the process. The equations are solved via the Runge-Kutta discontinuous Galerkin method and the special DiamondTorre algorithm for multi-GPU implementation is used.

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Compact LRnLA Algorithms for Flux-Based Numerical Schemes

Zakirov

Korneev

Perepelkina

et al. 2022

Communications in Computer and Information Science

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DiamondTorre GPU Implementation Algorithm of the RKDG Solver for Fluid Dynamics and its Using for the Numerical Simulation of the Bubble-shock Interaction Problem

Cited by 10 publications

References 3 publications

Simulating three-dimensional unsteady viscous compressible flow on GPU using the DiamondTorre algorithm

Simulating three-dimensional unsteady viscous compressible flow on GPU using the DiamondTorre algorithm

Numerical simulation of increasing initial perturbations of a bubble in the bubble–shock interaction problem

Compact LRnLA Algorithms for Flux-Based Numerical Schemes

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