Sign in
Author

Conference

Journal

Organization

Year

DOI
Look for results that meet for the following criteria:
since
equal to
before
between
and
Search in all fields of study
Limit my searches in the following fields of study
Agriculture Science
Arts & Humanities
Biology
Chemistry
Computer Science
Economics & Business
Engineering
Environmental Sciences
Geosciences
Material Science
Mathematics
Medicine
Physics
Social Science
Multidisciplinary
Keywords
(4)
Large Eddy Simulation
Order of Convergence
navierstokes equation
Turbulent Flow
Related Publications
(4)
Asymptotic behaviour of commutation errors and the divergence of the Reynolds stress tensor near the wall in the turbulent channelow
Approximate deconvolution boundary conditions for large eddy simulation
Large Eddy Simulation of Turbulent Incompressible Flows
Commutator errors in largeeddy simulation
Subscribe
Academic
Publications
Analysis of commutation errors for functions with low regularity
Analysis of commutation errors for functions with low regularity,10.1016/j.cam.2006.09.011,Journal of Computational and Applied Mathematics,Luigi C. B
Edit
Analysis of commutation errors for functions with low regularity
(
Citations: 7
)
BibTex

RIS

RefWorks
Download
Luigi C. Berselli
,
Carlo R. Grisanti
,
Volker John
Commutation errors arise in the derivation of the space averaged Navier–Stokes equations, the basic equations for the
large eddy simulation
of turbulent flows, if the filter is nonuniform or asymmetric (skewed) with nonconstant skewness. These errors need to be analyzed for
turbulent flow
fields, where one expects a limited regularity of the solution. This paper studies the
order of convergence
of commutation errors, as the filter width tends to zero, for functions with low regularity. Several convergence results are proved and it is also shown that convergence may fail (or its order decreases) if the functions become less smooth. The main results are those dealing with Hölder–continuous functions and with functions having singularities. The sharpness of the analytic results is confirmed with numerical illustrations.
Journal:
Journal of Computational and Applied Mathematics  J COMPUT APPL MATH
, vol. 206, no. 2, pp. 10271045, 2007
DOI:
10.1016/j.cam.2006.09.011
Cumulative
Annual
View Publication
The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
(
www.sciencedirect.com
)
(
linkinghub.elsevier.com
)
Citation Context
(3)
...(For more recent studies of the detailed structure of A see [
2
, 3, 19, 5, 6, 16])...
William Layton
,
et al.
The DasMoser commutator closure for filtering through a boundary is w...
...However, the classical LES approach possesses some drawbacks like commutation errors [
2
,4,8,40]...
V. John
,
et al.
Finite element error analysis for a projectionbased variational multi...
...We will not consider them in this note since such �lters introduce commutation errors that are considerably larger than for nonuniform symmetric �lters, see References [
9
,10]...
...Since there is no way to eliminate these sources of error in the derivation of LES equations, in Reference [
9
] enhanced estimates were proved for the commutation error in the case of nonuniform �lters...
Luigi C. Berselli
,
et al.
Asymptotic behaviour of commutation errors and the divergence of the R...
References
(26)
Filtering techniques for turbulent flow simulation
(
Citations: 27
)
A. A. Aldama
Published in 1990.
Mathematics of Large Eddy Simulation of Turbulent Flows
(
Citations: 79
)
L. C. Berselli
,
T. Iliescu
,
W. Layton
Published in 2006.
Asymptotic behaviour of commutation errors and the divergence of the Reynolds stress tensor near the wall in the turbulent channelow
(
Citations: 7
)
Luigi C. Berselli
,
Volker John
Published in 2006.
An Introduction to the NavierStokes InitialBoundary Value Problem
(
Citations: 43
)
Giovanni P. Galdi
Difierential filters for the large eddy numerical simulation of turbulent flows
(
Citations: 14
)
M. Germano
Published in 1986.
Sort by:
Citations
(7)
The DasMoser commutator closure for filtering through a boundary is wellposed
(
Citations: 1
)
William Layton
,
CATALIN TRENCHEAy
Journal:
Mathematical and Computer Modelling  MATH COMPUT MODELLING
, vol. 53, no. 56, pp. 566573, 2011
A variational multiscale method for turbulent flow simulation with adaptive large scale space
(
Citations: 5
)
Volker John
,
Adela Kindl
Journal:
Journal of Computational Physics  J COMPUT PHYS
, vol. 229, no. 2, pp. 301312, 2010
Numerical studies of finite element variational multiscale methods for turbulent flow simulations
(
Citations: 4
)
Volker John
,
Adela Kindl
Journal:
Computer Methods in Applied Mechanics and Engineering  COMPUT METHOD APPL MECH ENG
, vol. 199, no. 13, pp. 841852, 2010
Finite element LES and VMS methods on tetrahedral meshes
Volker John
,
Adela Kindl
,
Carina Suciu
Journal:
Journal of Computational and Applied Mathematics  J COMPUT APPL MATH
, vol. 233, no. 12, pp. 30953102, 2010
Finite Element LES and VMS Methods on Tetrahedral Meshes
Volker John
,
Adela Kindl
,
Carina Suciu
Published in 2009.