Investigation of the efficiency of using numerical schemes of a high order of accuracy for solving Navier-Stokes and Reynolds equations on unstructured adapted grids

被引：0

作者：

Wolkov A.V. ^{[1
]}

Lyapunov S.V. ^{[1
]}

机构：

[1] Zhukovskii Central Institute of Aerohydrodynamics, Zhukovskii, Moscow oblast, 140180

来源：

Computational Mathematics and Mathematical Physics | 2006年 / 46卷 / 10期

关键词：

Finite-element Galerkin scheme of a high order of accuracy; Numerical solution of Navier-Stokes equations; Unstructured adapted grids;

D O I：

10.1134/S0965542506100162

中图分类号：

学科分类号：

摘要：

The finite element discontinuous Galerkin method is implemented for solving the Navier-Stokes and Reynolds equations on unstructured adapted grids. A detailed description of the method is given. In problems concerning laminar flow around a cylinder and turbulent flow about a flat plate, solutions with a high order of accuracy are presented. Examples of the calculation of a viscous transonic flow around an isolated airfoil and the subsonic flow around a three-element configuration are considered. These important application problems are solved using the adapted grid technique. © Nauka/Interperiodica 2006.

引用

页码：1808 / 1820

页数：12

共 50 条

[1] High-order compact finite volume schemes for solving the Reynolds averaged Navier-Stokes equations on the unstructured mixed grids with a large aspect ratio
Huang, Qian-Min
Ren, Yu-Xin
Wang, Qian
Pan, Jian-Hua
JOURNAL OF COMPUTATIONAL PHYSICS, 2022, 467
[2] RESIDUAL SCHEMES FOR PENALIZED NAVIER-STOKES EQUATIONS ON ADAPTED GRIDS
Nouveau, L.
Abgrall, R.
Alcin, H.
Beaugendre, H.
Dobrzynski, C.
11TH WORLD CONGRESS ON COMPUTATIONAL MECHANICS; 5TH EUROPEAN CONFERENCE ON COMPUTATIONAL MECHANICS; 6TH EUROPEAN CONFERENCE ON COMPUTATIONAL FLUID DYNAMICS, VOLS II - IV, 2014, : 2007 - 2018
[3] High-order methods for the Euler and Navier-Stokes equations on unstructured grids
Wang, Z. J.
PROGRESS IN AEROSPACE SCIENCES, 2007, 43 (1-3) : 1 - 41
[4] Arbitrary high order PNPM schemes on unstructured meshes for the compressible Navier-Stokes equations
Dumbser, Michael
COMPUTERS & FLUIDS, 2010, 39 (01) : 60 - 76
[5] Higher order projection schemes for solving the incompressible Navier-Stokes equations
Prohl, A
ENUMATH 97 - 2ND EUROPEAN CONFERENCE ON NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS, 1998, : 511 - 517
[6] High-order multidomain spectral difference method for the Navier-Stokes equations on unstructured hexahedral grids
Sun, Yuzhi
Wang, Z. J.
Liu, Yen
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2007, 2 (02) : 310 - 333
[7] ADAPTIVE METHODS ON UNSTRUCTURED GRIDS FOR EULER AND NAVIER-STOKES EQUATIONS
VILSMEIER, R
HANEL, D
COMPUTERS & FLUIDS, 1993, 22 (4-5) : 485 - 499
[8] Construction of a difference scheme for Navier-Stokes equations on unstructured grids
Popov, I. V.
Fryazinov, I. V.
Stanichenko, M. Yu.
Taimanov, A. V.
RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING, 2008, 23 (05) : 487 - 503
[9] Multigrid solutions of the Euler and Navier-Stokes equations on unstructured grids
Lin, FP
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 1999, 29 (08) : 921 - 934
[10] SOME NUMERICAL SCHEMES USING CURVILINEAR COORDINATE GRIDS FOR INCOMPRESSIBLE AND COMPRESSIBLE NAVIER-STOKES EQUATIONS
DAIGUJI, H
SHIN, BR
SADHANA-ACADEMY PROCEEDINGS IN ENGINEERING SCIENCES, 1993, 18 : 431 - 476

← 1 2 3 4 5 →