Concepedia

Navier-stokes Equations

Navier-Stokes Equations is a system of nonlinear partial differential equations in fluid dynamics that governs the motion of viscous (typically Newtonian) fluids by expressing conservation of mass and momentum with explicit inclusion of pressure and viscous stress effects.

20.3K

Publications

1.2M

Citations

22K

Authors

4.1K

Institutions

Publications per year

2017–2026

4.1K

Variants

Navier - Stokes Equations

Parents

Children

Publications

20.3K

A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows

Suhas V. Patankar, D. B. Spalding · International Journal of Heat and Mass Transfer · 1972 · 6K citations

, , +16

Numerical Calculation of Time-Dependent Viscous Incompressible Flow of Fluid with Free Surface

Francis H. Harlow, J. Eddie Welch · The Physics of Fluids · 1965 · 5.9K citations

, , +17

Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations

A. Brooks, Thomas J.R. Hughes · Computer Methods in Applied Mechanics and Engineering · 1982 · 5.3K citations

, , +15

Numerical solution of the Navier-Stokes equations

Alexandre J. Chorin · Mathematics of Computation · 1968 · 5.3K citations

, , +15

Lattice BGK Models for Navier-Stokes Equation

Y. H. Qian, Dominique d’Humières, Pierre Lallemand · Europhysics Letters (EPL) · 1992 · 5.2K citations

, , +12

1–5 of 20.3K

Authors

22K

  1. TH
    Tasawar Hayat

    Quaid-i-Azam University, Pakistan

    129 publications · 7.1K citations

    47

    h-index

  2. ES
    Edriss S. Titi

    University of California, Irvine, United States

    71 publications · 5.2K citations

    44

    h-index

  3. ZX
    Zhouping Xin

    Chinese University of Hong Kong, Hong Kong SAR China

    64 publications · 5.3K citations

    37

    h-index

  4. EF
    Eduard Feireisl

    Czech Academy of Sciences, Institute of Mathematics, Czechia

    80 publications · 4.8K citations

    37

    h-index

  5. MG
    Max Gunzburger

    Florida State University, United States

    48 publications · 3.9K citations

    32

    h-index

1–5 of 22K

Institutions

4.1K

  1. Centre National de la Recherche Scientifique

    Paris, France

    83 h-index

    1.1K publications

    62.4K citations

  2. Stanford University

    Stanford, United States

    82 h-index

    336 publications

    49.4K citations

  3. Courant Institute of Mathematical Sciences

    New York, United States

    77 h-index

    237 publications

    33.2K citations

  4. California Institute of Technology

    Pasadena, United States

    66 h-index

    260 publications

    40.2K citations

  5. Langley Research Center

    Hampton, United States

    66 h-index

    403 publications

    30.7K citations

  6. University of Minnesota

    Minneapolis, United States

    65 h-index

    264 publications

    24K citations

  7. Sorbonne Université

    Paris, France

    61 h-index

    302 publications

    17K citations

  8. New York University

    New York, United States

    60 h-index

    217 publications

    28.9K citations

1–8 of 4.1K

Venues

  1. Journal of Computational Physics

    849 publications · 102.9K citations

    142

    h-index

  2. Journal of Fluid Mechanics

    800 publications · 73.2K citations

    126

    h-index

  3. Archive for Rational Mechanics and Analysis

    384 publications · 33.4K citations

    97

    h-index

  4. 86

    h-index

  5. Physics of Fluids

    466 publications · 26.6K citations

    79

    h-index

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