Treffer: A discrete unified gas kinetic scheme on unstructured grids for viscid compressible flows and its parallel algorithm

Title:
A discrete unified gas kinetic scheme on unstructured grids for viscid compressible flows and its parallel algorithm
Authors:
Lei Xu, Zhengzheng Yan, Rongliang Chen
Source:
AIMS Mathematics, Vol 8, Iss 4, Pp 8829-8846 (2023)
Publisher Information:
American Institute of Mathematical Sciences (AIMS), 2023.
Publication Year:
2023
Subject Terms:
discrete unified gas kinetic scheme, parallel algorithm, boltzmann equation, 0103 physical sciences, QA1-939, unstructured grid, viscid compressible flow, 01 natural sciences, Mathematics
Document Type:
Fachzeitschrift Article
ISSN:
2473-6988
DOI:
10.3934/math.2023443
Access URL:
https://doaj.org/article/eaf8f4dc376f47e7a5d670718a29d688
Accession Number:
edsair.doi.dedup.....40a0744c4ef38c570e4d7a9ab3a69e22
Database:
OpenAIRE

Weitere Informationen

In this paper, we present a discrete unified gas kinetic scheme (DUGKS) on unstructured grids for high-speed viscid compressible flows on the basis of double distribution function (the density and the total energy distribution functions) Boltzmann-BGK equations. In the DUGKS, the discrete equilibrium distribution functions are constructed based on a D2Q17 circular function. In order to accelerate the simulation, we also illustrate a corresponding parallel algorithm. The DUGKS is validated by two benchmark problems, i.e., flows around the NACA0012 airfoil and flows past a circular cylinder with the Mach numbers range from 0.5 to 2.5. Good agreements with the referenced results are observed from the numerical results. The results of parallel test indicate that the DUGKS is highly parallel scalable, in which the parallel efficiency achieves $ 93.88\% $ on a supercomputer using up to $ 4800 $ processors. The proposed method can be utilized for high-resolution numerical simulation of complex and high Mach number flows.