Topic · Gas Dynamics and Kinetic Theory
Most cited papers in Gas Dynamics and Kinetic Theory
What are the most cited papers in Gas Dynamics and Kinetic Theory?
The most cited paper in Gas Dynamics and Kinetic Theory is "A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems" (Prabhu L. Bhatnagar, Eugene P. Gross, Max Krook, 1954), with 8,631 citations. Next come "Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method" (7,144) and "Efficient Implementation of Weighted ENO Schemes" (6,642).
Showing 50 of 100 papers. Every paper with more than 825 citations is listed.
| # | Paper | ||
|---|---|---|---|
| 1 | A Model for Collision Processes in Gases. I. Small Amplitude Processes in Charged and Neutral One-Component Systems Prabhu L. Bhatnagar, Eugene P. Gross, Max Krook · Physical Review | May 1954 | 8,631 |
| 2 | 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 |
| 3 | Efficient Implementation of Weighted ENO Schemes Guang-Shan Jiang, Chi‐Wang Shu · Journal of Computational Physics | Jun 1996 | 6,642 |
| 4 | Lattice BGK Models for Navier-Stokes Equation Y. H. Qian, Dominique d’Humières, Pierre Lallemand · Europhysics Letters (EPL) | Feb 1992 | 5,325 |
| 5 | Efficient implementation of essentially non-oscillatory shock-capturing schemes, II Chi‐Wang Shu, Stanley Osher · Journal of Computational Physics | Jul 1989 | 4,918 |
| 6 | Efficient implementation of essentially non-oscillatory shock-capturing schemes Chi‐Wang Shu, Stanley Osher · Journal of Computational Physics | Aug 1988 | 4,887 |
| 7 | High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method Urmila Ghia, K. N. Ghia, C. T. Shin · Journal of Computational Physics | Dec 1982 | 4,319 |
| 8 | The Piecewise Parabolic Method (PPM) for gas-dynamical simulations Phillip Colella, Paul R. Woodward · Journal of Computational Physics | Apr 1984 | 4,029 |
| 9 | CasADi: a software framework for nonlinear optimization and optimal control Joel A.E. Andersson, Joris Gillis, Greg Horn et al. · Mathematical Programming Computation | 11 Jul 2018 | 3,950 |
| 10 | Weighted Essentially Non-oscillatory Schemes Xudong Liu, Stanley Osher, Tony Fan-Cheong Chan · Journal of Computational Physics | Nov 1994 | 3,473 |
| 11 | On Upstream Differencing and Godunov-Type Schemes for Hyperbolic Conservation Laws Amiram Harten, Peter D. Lax, Bram van Leer · SIAM Review | 1983 | 3,428 |
| 12 | Thin-layer approximation and algebraic model for separated turbulentflows Betty J. Baldwin, Harvard Lomax · 16th Aerospace Sciences Meeting | 16 Jan 1978 | 3,353 |
| 13 | 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 |
| 14 | The Mathematical Theory of Non-Uniform Gases Sydney Chapman, Thomas George Cowling, David S. Park · American Journal of Physics | May 1962 | 3,021 |
| 15 | A Viscosity Equation for Gas Mixtures C. R. Wilke · The Journal of Chemical Physics | Apr 1950 | 2,708 |
| 16 | Local adaptive mesh refinement for shock hydrodynamics Marsha Berger, Phillip Colella · Journal of Computational Physics | May 1989 | 2,654 |
| 17 | Fully multidimensional flux-corrected transport algorithms for fluids Steven T. Zalesak · Journal of Computational Physics | Jun 1979 | 2,630 |
| 18 | Nonlinear scalar field equations, I existence of a ground state Henri Berestycki, P. L. Lions · Archive for Rational Mechanics and Analysis | Dec 1983 | 2,626 |
| 19 | Restoration of the contact surface in the HLL-Riemann solver Eleuterio Francisco Toro, M. Spruce, W. Speares · Shock Waves | Jul 1994 | 2,467 |
| 20 | Numerical simulations of particulate suspensions via a discretized Boltzmann equation. Part 1. Theoretical foundation Anthony J. C. Ladd · Journal of Fluid Mechanics | 25 Jul 1994 | 2,442 |
| 21 | Fate of the false vacuum: Semiclassical theory Sidney Coleman · Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields | 15 May 1977 | 2,313 |
| 22 | The Runge–Kutta Discontinuous Galerkin Method for Conservation Laws V Bernardo Cockburn, Chi‐Wang Shu · Journal of Computational Physics | Apr 1998 | 2,267 |
| 23 | The design and application of upwind schemes on unstructured meshes Timothy J. Barth, Dennis C. Jespersen · 27th Aerospace Sciences Meeting | 9 Jan 1989 | 2,238 |
| 24 | Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme Bram van Leer · Journal of Computational Physics | Mar 1974 | 2,196 |
| 25 | Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works Jay P. Boris, David Book · Journal of Computational Physics | 1973 | 2,131 |
| 26 | An Implicit Factored Scheme for the Compressible Navier-Stokes Equations Richard M. Beam, Robert F. Warming · AIAA Journal | Apr 1978 | 2,074 |
| 27 | Candle Soot as a Template for a Transparent Robust Superamphiphobic Coating Xu Deng, Lena Mammen, Hans‐Jürgen Butt et al. · Science | 2 Dec 2011 | 2,059 |
| 28 | Essentially non-oscillatory and weighted essentially non-oscillatory schemes for hyperbolic conservation laws Chi‐Wang Shu · Lecture notes in mathematics | 1998 | 1,957 |
| 29 | Aerodynamic design via control theory Antony Jameson · Journal of Scientific Computing | Sep 1988 | 1,939 |
| 30 | Systematics of Vibrational Relaxation Roger C. Millikan, Donald R. White · The Journal of Chemical Physics | 15 Dec 1963 | 1,936 |
| 31 | Characteristic-Based Schemes for the Euler Equations Philip L. Roe · Annual Review of Fluid Mechanics | 1986 | 1,826 |
| 32 | Transient relativistic thermodynamics and kinetic theory W. Israel, J.M. Stewart · Annals of Physics | Apr 1979 | 1,794 |
| 33 | Thermal Equilibrium of the Atmosphere with a Given Distribution of Relative Humidity Syukuro Manabe, Richard T. Wetherald · Journal of the Atmospheric Sciences | May 1967 | 1,754 |
| 34 | Theory of plasma transport in toroidal confinement systems F. L. Hinton, R. D. Hazeltine · Reviews of Modern Physics | Apr 1976 | 1,716 |
| 35 | A one-equation turbulence model for aerodynamic flows Philippe R. Spalart, S. ALLMARAS · 30th Aerospace Sciences Meeting and Exhibit | 6 Jan 1992 | 1,714 |
| 36 | PLUTO: A Numerical Code for Computational Astrophysics A. Mignone, G. Bodo, S. Massaglia et al. · The Astrophysical Journal Supplement Series | May 2007 | 1,642 |
| 37 | Flux-vector splitting for the Euler equations Bram van Leer · Lecture notes in physics | 1982 | 1,635 |
| 38 | Improved two-equation k-omega turbulence models for aerodynamic flows Florian R. Menter · NASA Technical Reports Server (NASA) | Oct 1992 | 1,596 |
| 39 | The compressible turbulent shear layer: an experimental study Dimitri Papamoschou, A. Roshko · Journal of Fluid Mechanics | Dec 1988 | 1,562 |
| 40 | Time dependent calculations using multigrid, with applications to unsteady flows past airfoils and wings Antony Jameson | 24 Jun 1991 | 1,561 |
| 41 | A Solution-Adaptive Upwind Scheme for Ideal Magnetohydrodynamics Kenneth G. Powell, Philip L. Roe, Timur J. Linde et al. · Journal of Computational Physics | Sep 1999 | 1,534 |
| 42 | An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws Rafael Brandão de Rezende Borges, Monique Carmona, Bruno Alexandre Soares da Costa et al. · Journal of Computational Physics | 26 Jan 2008 | 1,523 |
| 43 | Theory of Stagnation Point Heat Transfer in Dissociated Air J.A. Fay, Frederick R. Riddell · Journal of the aerospace sciences/Journal of the aero/space sciences | Feb 1958 | 1,483 |
| 44 | On Quantum Theory of Transport Phenomena Sadao Nakajima · Progress of Theoretical Physics | Dec 1958 | 1,479 |
| 45 | A New Flux Splitting Scheme Meng‐Sing Liou, Christopher J. Steffen · Journal of Computational Physics | Jul 1993 | 1,456 |
| 46 | Physics of Fully Ionized Gases Lyman Spitzer, Raymond J. Seeger · American Journal of Physics | Nov 1963 | 1,445 |
| 47 | A Gallavotti–Cohen-Type Symmetry in the Large Deviation Functional for Stochastic Dynamics Joel L. Lebowitz, Herbert Spohn · Journal of Statistical Physics | Apr 1999 | 1,426 |
| 48 | Nonequilibrium Hypersonic Aerothermodynamics Chul Park, Wayland Griffith · Physics Today | Feb 1991 | 1,390 |
| 49 | The Boltzmann equation an d the one-fluid hydromagnetic equations in the absence of particle collisions Geoffrey F. Chew, M. L. Goldberger, Francis E. Low · Proceedings of the Royal Society of London A Mathematical and Physical Sciences | 10 Jul 1956 | 1,389 |
| 50 | GPOPS-II Michael Patterson, Anil V. Rao · ACM Transactions on Mathematical Software | 27 Oct 2014 | 1,349 |
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.