Comparison of numerical advection schemes in two-dimensional turbulence simulation

被引：5

作者：

Perezhogin, Pavel A. ^{[1
,2
]}

Glazunov, Andrey V. ^{[1
,2
]}

Mortikov, Evgeny V. ^{[1
,3
]}

Dymnikov, Valentin P. ^{[1
,2
]}

机构：

[1] RAS, Inst Numer Math, Moscow 119333, Russia

[2] Moscow Inst Phys & Technol, Dolgoprudnyi 141701, Moscow Region, Russia

[3] Lomonosov Moscow State Univ, Sci Res Comp Ctr, Moscow 119234, Russia

来源：

RUSSIAN JOURNAL OF NUMERICAL ANALYSIS AND MATHEMATICAL MODELLING | 2017年 / 32卷 / 01期

基金：

俄罗斯基础研究基金会; 俄罗斯科学基金会;

关键词：

Two-dimensional turbulence; numerical schemes; conservation laws; SEMI-LAGRANGIAN TRANSPORT; NAVIER-STOKES EQUATIONS; MODELS; INTERPOLATION; CASCADE;

D O I：

10.1515/rnam-2017-0005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The influence of numerical approximations on statistical characteristics of modelled two-dimensional turbulence sustained by a stochastic external forcing is studied. The ability of various finite-difference and semi-Lagrangian schemes to reproduce reliably the dual energy and enstrophy cascades for coarse spatial resolution is tested. It is also studied how the requirement of preserving invariants inherent to a two-dimensional ideal fluid is important relative to numerical schemes. The results of calculations with high spatial resolution were taken as a reference solution. The choice of studied schemes was motivated by their use in atmosphere and ocean numerical models, in particular, in the Institute of Numerical Mathematics climate model (INMCM) and semi-Lagrangian absolute vorticity (SLAV) model of medium-range weather forecast. The importance of conservation laws for integral vorticity and enstrophy is revealed in the numerical experiments with a small-scale external forcing.

引用

页码：47 / 60

页数：14

共 34 条

[1]

Alekseev V., 1998, 215 INM RAS I NUM MA

[2] Random forcing of three-dimensional homogeneous turbulence [J].

Alvelius, K .

PHYSICS OF FLUIDS, 1999, 11 (07) :1880-1889

[3]

Arakawa A., 1966, Journal of Computational Physics, V1, P119, DOI [DOI 10.1016/0021-9991(66)90015-5, /10.1016/0021-9991(66)90015-5]

[4]

Arakawa Akio, 1977, Methods in Computational Physics: Advances in Research and Applications, V17, P173, DOI [10.1016/B978-0-12-460817-7.50009-4, DOI 10.1016/B978-0-12-460817-7.50009-4]

[5]

Berselli L., 2005, MATH LARGE EDDY SIMU

[6] Inverse energy cascade in two-dimensional turbulence: Deviations from Gaussian behavior [J].

Boffetta, G ;

Celani, A ;

Vergassola, M .

PHYSICAL REVIEW E, 2000, 61 (01) :R29-R32

[7] Evidence for the double cascade scenario in two-dimensional turbulence [J].

Boffetta, G. ;

Musacchio, S. .

PHYSICAL REVIEW E, 2010, 82 (01)

[8] Accurate projection methods for the incompressible Navier-Stokes equations [J].

Brown, DL ;

Cortez, R ;

Minion, ML .

JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 168 (02) :464-499

[9]

Diansky NA, 2002, IZV ATMOS OCEAN PHY+, V38, P477

[10]

Dymnikov Valentin P., 2007, Stability and Predictability of Large-scale Processes in Atmosphere

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