Research output: Contribution to journal › Article › peer-review
An Analysis of Grid-Clustering Rules in a Boundary Layer Using the Numerical Solution of the Problem of Viscous Flow over a Plate. / Kudryavtsev, A. N.; Liseikin, V. D.; Mukhortov, A. V.
In: Computational Mathematics and Mathematical Physics, Vol. 62, No. 8, 08.2022, p. 1356-1371.Research output: Contribution to journal › Article › peer-review
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TY - JOUR
T1 - An Analysis of Grid-Clustering Rules in a Boundary Layer Using the Numerical Solution of the Problem of Viscous Flow over a Plate
AU - Kudryavtsev, A. N.
AU - Liseikin, V. D.
AU - Mukhortov, A. V.
N1 - Funding Information: Kudryavtsev acknowledges the support of the Russian Science Foundation (project no. 18-11-00246-Π), while Liseikin and Mukhortov’s study was supported by the Russian Foundation for Basic Research (project no. 20-01-00231A). Publisher Copyright: © 2022, Pleiades Publishing, Ltd.
PY - 2022/8
Y1 - 2022/8
N2 - The problem of the supersonic flow of a viscous compressible gas over a flat plate at a zero angle of attack was numerically studied. The two-dimensional Navier–Stokes equations were solved at various Reynolds numbers on adaptive grids with boundary-layer mesh refinement. Well-known grids constructed with the help of coordinate transformations eliminating boundary layers of various types were considered. The characteristics of numerical solutions (the value and order of the error, the value and order of the solution jump, and computation time) were analyzed in a series of numerical experiments. The advantages, shortcomings, and the applicability of each boundary layer mesh refinement rule for finding the numerical solution of this problem were discussed. The novelty of this work lies in the analysis of special adaptive grids and their use for solving problems applied in various fields of supersonic aero- and gas dynamics.
AB - The problem of the supersonic flow of a viscous compressible gas over a flat plate at a zero angle of attack was numerically studied. The two-dimensional Navier–Stokes equations were solved at various Reynolds numbers on adaptive grids with boundary-layer mesh refinement. Well-known grids constructed with the help of coordinate transformations eliminating boundary layers of various types were considered. The characteristics of numerical solutions (the value and order of the error, the value and order of the solution jump, and computation time) were analyzed in a series of numerical experiments. The advantages, shortcomings, and the applicability of each boundary layer mesh refinement rule for finding the numerical solution of this problem were discussed. The novelty of this work lies in the analysis of special adaptive grids and their use for solving problems applied in various fields of supersonic aero- and gas dynamics.
KW - adaptive grid
KW - boundary layer
KW - flow over a plate
KW - Navier–Stokes equations
KW - supersonic flow
KW - viscous gas
UR - http://www.scopus.com/inward/record.url?scp=85137844841&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/2aadd23c-7486-35f9-b4a8-cfd3f7f64c6f/
U2 - 10.1134/S0965542522080073
DO - 10.1134/S0965542522080073
M3 - Article
AN - SCOPUS:85137844841
VL - 62
SP - 1356
EP - 1371
JO - Computational Mathematics and Mathematical Physics
JF - Computational Mathematics and Mathematical Physics
SN - 0965-5425
IS - 8
ER -
ID: 38058269