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Most cited papers in Fluid Dynamics and Turbulent Flows

Fluid Dynamics and Turbulent Flows

What are the most cited papers in Fluid Dynamics and Turbulent Flows?

The most cited paper in Fluid Dynamics and Turbulent Flows is "Two-equation eddy-viscosity turbulence models for engineering applications" (Florian R. Menter, 1994), with 21,460 citations. Next come "Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations" (19,776) and "Deterministic Nonperiodic Flow" (19,616).

Showing 50 of 100 papers. Every paper with more than 1,908 citations is listed.

Most cited papers, sortable by citations and release date
#Paper
1 Two-equation eddy-viscosity turbulence models for engineering applications Florian R. Menter · AIAA Journal Aug 1994 21,460
2 Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations Maziar Raissi, Paris Perdikaris, George Em Karniadakis · Journal of Computational Physics Open access 3 Nov 2018 19,776
3 Deterministic Nonperiodic Flow Edward N. Lorenz · Journal of the Atmospheric Sciences Open access Mar 1963 19,616
4 Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations Stanley Osher, James A. Sethian · Journal of Computational Physics Open access Nov 1988 14,114
5 The numerical computation of turbulent flows Brian E. Launder, D. BRIAN SPALDING · Computer Methods in Applied Mechanics and Engineering Mar 1974 12,847
6 LATTICE BOLTZMANN METHOD FOR FLUID FLOWS Shiyi Chen, Gary D. Doolen · Annual Review of Fluid Mechanics Review 1998 7,339
7 Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method Bram van Leer · Journal of Computational Physics Jul 1979 7,144
8 Convective Transport in Nanofluids Jacopo Buongiorno · ASME Journal of Heat and Mass Transfer 15 Aug 2005 6,980
9 On the Assessment of Surface Heat Flux and Evaporation Using Large-Scale Parameters C. H. B. Priestley, R. J. Taylor · Monthly Weather Review Open access Feb 1972 6,761
10 Efficient Implementation of Weighted ENO Schemes Guang-Shan Jiang, Chi‐Wang Shu · Journal of Computational Physics Open access Jun 1996 6,642
11 On the identification of a vortex Jinhee Jeong, Fazle Hussain · Journal of Fluid Mechanics 25 Feb 1995 6,485
12 Turbulence and the dynamics of coherent structures. I. Coherent structures Lawrence Sirovich · Quarterly of Applied Mathematics Open access Oct 1987 6,236
13 Compact finite difference schemes with spectral-like resolution Sanjiva K. Lele · Journal of Computational Physics Nov 1992 6,174
14 A new k-ϵ eddy viscosity model for high reynolds number turbulent flows Tsan-Hsing Shih, William W. Liou, Aamir Shabbir et al. · Computers & Fluids Mar 1995 6,067
15 A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows Suhas V. Patankar, D. BRIAN SPALDING · International Journal of Heat and Mass Transfer Oct 1972 6,022
16 Dynamic mode decomposition of numerical and experimental data Peter J. Schmid · Journal of Fluid Mechanics Open access Jul 2010 5,995
17 A tensorial approach to computational continuum mechanics using object-oriented techniques Henry G. Weller, Gavin Tabor, Hrvoje Jasak et al. · Computers in Physics Nov 1998 5,434
18 Lattice BGK Models for Navier-Stokes Equation Y. H. Qian, Dominique d’Humières, Pierre Lallemand · Europhysics Letters (EPL) Feb 1992 5,325
19 Particle Image Velocimetry: A Practical Guide Markus Raffel 11 Jun 2002 5,098
20 On sound generated aerodynamically I. General theory Michael James Lighthill · Proceedings of the Royal Society of London A Mathematical and Physical Sciences 20 Mar 1952 4,969
21 Efficient implementation of essentially non-oscillatory shock-capturing schemes, II Chi‐Wang Shu, Stanley Osher · Journal of Computational Physics Jul 1989 4,918
22 Efficient implementation of essentially non-oscillatory shock-capturing schemes Chi‐Wang Shu, Stanley Osher · Journal of Computational Physics Open access Aug 1988 4,887
23 Turbulence statistics in fully developed channel flow at low Reynolds number John Kim, Parviz Moin, Robert Moser · Journal of Fluid Mechanics Apr 1987 4,852
24 The immersed boundary method Charles S. Peskin · Acta Numerica Open access 2002 4,597
25 Numerical study of the turbulent flow past an airfoil with trailing edge separation Chae M. Rhie, W. L. Chow · AIAA Journal Nov 1983 4,478
26 Renormalization group analysis of turbulence. I. Basic theory Victor Yakhot, Steven A. Orszag · Journal of Scientific Computing 1986 4,271
27 High resolution schemes for hyperbolic conservation laws Ami Harten · Journal of Computational Physics Open access Mar 1983 4,199
28 Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States Norman J. Zabusky, Martin David Kruskal · Physical Review Letters 9 Aug 1965 4,183
29 The prediction of laminarization with a two-equation model of turbulence W.P. Jones, Brian E. Launder · International Journal of Heat and Mass Transfer Feb 1972 4,157
30 Subgrid-Scale Stress Modelling Based on the Square of the Velocity Gradient Tensor Franck Nicoud, F. Ducros · Flow Turbulence and Combustion Open access Sep 1999 4,077
31 The Piecewise Parabolic Method (PPM) for gas-dynamical simulations Phillip Colella, Paul R. Woodward · Journal of Computational Physics Apr 1984 4,029
32 Progress in the development of a Reynolds-stress turbulence closure Brian E. Launder, Gordon Reece, W. Rodi · Journal of Fluid Mechanics 15 Apr 1975 4,001
33 Flow past a stretching plate L. J. Crane · Zeitschrift für angewandte Mathematik und Physik Jul 1970 3,964
34 Lattice Boltzmann model for simulating flows with multiple phases and components Xiaowen Shan, Hudong Chen · Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics Open access Mar 1993 3,635
35 IMMERSED BOUNDARY METHODS Rajat Mittal, Gianluca Iaccarino · Annual Review of Fluid Mechanics Review 2005 3,500
36 Boundary conditions for direct simulations of compressible viscous flows Thierry J. Poinsot, S.K Lelef · Journal of Computational Physics Open access Jul 1992 3,489
37 Weighted Essentially Non-oscillatory Schemes Xudong Liu, Stanley Osher, Tony Fan-Cheong Chan · Journal of Computational Physics Nov 1994 3,473
38 Equation of motion for a small rigid sphere in a nonuniform flow MARTIN R. MAXEY, James J. Riley · The Physics of Fluids Apr 1983 3,459
39 ENHANCEMENTS OF THE SIMPLE METHOD FOR PREDICTING INCOMPRESSIBLE FLUID FLOWS J. P. Van Doormaal, George D. Raithby · Numerical Heat Transfer Apr 1984 3,450
40 On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws Amiram Harten, Peter D. Lax, Bram van Leer · SIAM Review 1983 3,428
41 On density effects and large structure in turbulent mixing layers Garry L. Brown, A. Roshko · Journal of Fluid Mechanics 24 Jul 1974 3,393
42 Flux-Profile Relationships in the Atmospheric Surface Layer Joost A. Businger, John C. Wyngaard, Yutaka Izumi et al. · Journal of the Atmospheric Sciences Open access Mar 1971 3,359
43 Thin-layer approximation and algebraic model for separated turbulentflows Betty J. Baldwin, Harvard Lomax · 16th Aerospace Sciences Meeting Conference paper 16 Jan 1978 3,353
44 An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations Desmond John Higham · SIAM Review 2001 3,201
45 Boundary conditions at a naturally permeable wall Gordon S. Beavers, Daniel D. Joseph · Journal of Fluid Mechanics 17 Oct 1967 3,105
46 The structure of turbulent boundary layers Stephen Jay Kline, W. C. Reynolds, F.A. Schraub et al. · Journal of Fluid Mechanics 22 Dec 1967 3,091
47 Numerical analysis of blood flow in the heart Charles S. Peskin · Journal of Computational Physics Nov 1977 3,088
48 Uniformly high order accurate essentially non-oscillatory schemes, III Ami Harten, Bjorn E. Engquist, Stanley Osher et al. · Journal of Computational Physics Aug 1987 3,022
49 A refinement of previous hypotheses concerning the local structure of turbulence in a viscous incompressible fluid at high Reynolds number Андрей Николаевич Колмогоров · Journal of Fluid Mechanics May 1962 3,002
50 Flow patterns around heart valves: A numerical method Charles S. Peskin · Journal of Computational Physics Oct 1972 2,955

Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.