Filtered Viscous Fluid Equations

Peter Constantin

doi:10.1016/S0898-1221(03)90015-0

Filtered Viscous Fluid Equations

Peter Constantin

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We analyze an Eulerian-Lagrangian description of filtered incompressible fluid equations. A viscous Cauchy formula is derived for such equations. The models discussed are related to vortex methods and to filtered Kuzmin-Oseledets equations.

Original language	English (US)
Pages (from-to)	537-546
Number of pages	10
Journal	Computers and Mathematics with Applications
Volume	46
Issue number	4
DOIs	https://doi.org/10.1016/S0898-1221(03)90015-0
State	Published - Aug 2003

All Science Journal Classification (ASJC) codes

Modeling and Simulation
Computational Theory and Mathematics
Computational Mathematics

Keywords

Navier-Stokes equations
Vortex methods

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10.1016/S0898-1221(03)90015-0

Cite this

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title = "Filtered Viscous Fluid Equations",

abstract = "We analyze an Eulerian-Lagrangian description of filtered incompressible fluid equations. A viscous Cauchy formula is derived for such equations. The models discussed are related to vortex methods and to filtered Kuzmin-Oseledets equations.",

keywords = "Navier-Stokes equations, Vortex methods",

author = "Peter Constantin",

note = "Funding Information: This work is a continuation of research started while the author was visiting Princeton University partially supported by an AIM fellowship. Part of this work was done at the Institute for Theoretical Physics in Santa Barbara, whose hospitality is gratefully acknowledged. This research is supported in part by NSF-DMS9802611 and by the ASCI - FLASH center at University Chicago. I thank the referee for helpful remarks.",

year = "2003",

month = aug,

doi = "10.1016/S0898-1221(03)90015-0",

language = "English (US)",

volume = "46",

pages = "537--546",

journal = "Computers and Mathematics with Applications",

issn = "0898-1221",

publisher = "Elsevier Ltd",

number = "4",

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T1 - Filtered Viscous Fluid Equations

AU - Constantin, Peter

N1 - Funding Information: This work is a continuation of research started while the author was visiting Princeton University partially supported by an AIM fellowship. Part of this work was done at the Institute for Theoretical Physics in Santa Barbara, whose hospitality is gratefully acknowledged. This research is supported in part by NSF-DMS9802611 and by the ASCI - FLASH center at University Chicago. I thank the referee for helpful remarks.

PY - 2003/8

Y1 - 2003/8

N2 - We analyze an Eulerian-Lagrangian description of filtered incompressible fluid equations. A viscous Cauchy formula is derived for such equations. The models discussed are related to vortex methods and to filtered Kuzmin-Oseledets equations.

AB - We analyze an Eulerian-Lagrangian description of filtered incompressible fluid equations. A viscous Cauchy formula is derived for such equations. The models discussed are related to vortex methods and to filtered Kuzmin-Oseledets equations.

KW - Navier-Stokes equations

KW - Vortex methods

UR - https://www.scopus.com/pages/publications/0141843625

UR - https://www.scopus.com/pages/publications/0141843625#tab=citedBy

U2 - 10.1016/S0898-1221(03)90015-0

DO - 10.1016/S0898-1221(03)90015-0

M3 - Article

AN - SCOPUS:0141843625

SN - 0898-1221

VL - 46

SP - 537

EP - 546

JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 4

ER -

Filtered Viscous Fluid Equations

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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