Abstract
An adaptive mesh refinement algorithm for simulations of the Navier–Stokes equations on unstructured hybrid meshes is presented. Numerical results for compressible supersonic flow around a sphere are given.
Similar content being viewed by others
REFERENCES
K. Powell, P. Roe, and J. Quirk, “Adaptive-mesh algorithms for computational fluid dynamics,” in Algorithmic Trends in Computational Fluid Dynamics, Ed. by M. Y. Hussaini, A. Kumar, and M. D. Salas (Springer, New York, 1993).
O. Antepara, O. Lehmkuhl, J. Chiva, and R. Borrell, Proc. Eng. 61, 246–250 (2013). https://doi.org/10.1016/j.proeng.2013.08.011
A. Schwing, I. Nompelis, and G. Candler, “Parallelization of unsteady adaptive mesh refinement for unstructured Navier–Stokes solvers,” in AIAA AVIATION 2014 7th AIAA Theoretical Fluid Mechanics Conference, American Institute of Aeronautics and Astronautics (2014). https://doi.org/10.2514/6.2014-3080
N. Morgan and J. Waltz, J. Comput. Phys. 336, 492–512 (2017). https://doi.org/10.1016/j.jcp.2017.02.030
S. Soukov, A. Gorobets, and P. Bogdanov, Math. Models Comput. Simul. 10 (2), 135–144 (2018). https://doi.org/10.1016/j.compfluid.2018.03.011
A. Gorobets, S. Soukov, and P. Bogdanov, Comput. Fluids 173, 171–177 (2018).
T. Nagata, T. Nonomura, S. Takahashi, Y. Mizuno, and K. Fukuda, Phys. Fluids 28, 056101 (2016). https://doi.org/10.1063/1.4947244
Funding
This work was supported by the Russian Science Foundation, project no. 19-11-00299.
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated by I. Ruzanova
Rights and permissions
About this article
Cite this article
Soukov, S.A. Adaptive Mesh Refinement Simulations of Gas Dynamic Flows on Hybrid Meshes. Dokl. Math. 102, 409–411 (2020). https://doi.org/10.1134/S1064562420050427
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S1064562420050427