| 1 | A Fast Level Set Method for Propagating Interfaces | Journal of Computational Physics | 1995 | 1,086 |
| 2 | Computing geodesic paths on manifolds | Proceedings of the National Academy of Sciences of the United States of America | 1998 | 865 |
| 3 | Vortex sheet approximation of boundary layers | Journal of Computational Physics | 1978 | 289 |
| 4 | Flame advection and propagation algorithms | Journal of Computational Physics | 1980 | 188 |
| 5 | On Effects Due To Thermal Expansion and Lewis Number in Spherical Flame Propagation | Combustion Science and Technology | 1983 | 179 |
| 6 | (null) | Journal of Mathematical Imaging and Vision | 2001 | 173 |
| 7 | Bacillus subtilis
spreads by surfing on waves of surfactant | Proceedings of the National Academy of Sciences of the United States of America | 2009 | 172 |
| 8 | Random choice methods with applications to reacting gas flow | Journal of Computational Physics | 1977 | 161 |
| 9 | A Level Set Approach to a Unified Model for Etching, Deposition, and Lithography I: Algorithms and Two-Dimensional Simulations | Journal of Computational Physics | 1995 | 127 |
| 10 | A Level Set Approach to a Unified Model for Etching, Deposition, and Lithography II: Three-Dimensional Simulations | Journal of Computational Physics | 1995 | 117 |
| 11 | Scaling Laws for Fully Developed Turbulent Flow in Pipes | Applied Mechanics Reviews | 1997 | 110 |
| 12 | An inverse free parallel spectral divide and conquer algorithm for nonsymmetric eigenproblems | Numerische Mathematik | 1997 | 108 |
| 13 | Dispersal of fungal spores on a cooperatively generated wind | Proceedings of the National Academy of Sciences of the United States of America | 2010 | 107 |
| 14 | On cellular instability in the solidification of a dilute binary alloy | Physica D: Nonlinear Phenomena | 1983 | 93 |
| 15 | Multiscale Modeling of Membrane Rearrangement, Drainage, and Rupture in Evolving Foams | Science | 2013 | 93 |
| 16 | Turbulent combustion in open and closed vessels | Journal of Computational Physics | 1984 | 90 |
| 17 | Subjective surfaces: A method for completing missing boundaries | Proceedings of the National Academy of Sciences of the United States of America | 2000 | 87 |
| 18 | Curvature and solidification | Journal of Computational Physics | 1985 | 82 |
| 19 | A new vortex scheme for viscous flows | Journal of Computational Physics | 1990 | 79 |
| 20 | Attributing and Projecting Heatwaves Is Hard: We Can Do Better | Earth's Future | 2022 | 78 |
| 21 | An Overview of ARTMIP's Tier 2 Reanalysis Intercomparison: Uncertainty in the Detection of Atmospheric Rivers and Their Associated Precipitation | Journal of Geophysical Research D: Atmospheres | 2022 | 75 |
| 22 | Simulating complex tumor dynamics from avascular to vascular growth using a general level-set method | Journal of Mathematical Biology | 2006 | 74 |
| 23 | Thermal-expansion induced cellular flames | Combustion and Flame | 1982 | 61 |
| 24 | Analysis and applications of the Voronoi Implicit Interface Method | Journal of Computational Physics | 2012 | 56 |
| 25 | A study of fourier space methods for “limited angle” image reconstruction* | Numerical Functional Analysis and Optimization | 1980 | 55 |
| 26 | Direct Prediction of Phonon Density of States With Euclidean Neural Networks | Advanced Science | 2021 | 54 |
| 27 | A boundary integral approach to unstable solidification | Journal of Computational Physics | 1989 | 50 |
| 28 | Future Atmospheric Rivers and Impacts on Precipitation: Overview of the ARTMIP Tier 2 High‐Resolution Global Warming Experiment | Geophysical Research Letters | 2023 | 50 |
| 29 | A numerical study of superfluid turbulence in the self-induction approximation | Journal of Computational Physics | 1988 | 49 |
| 30 | Projection methods coupled to level set interface techniques | Journal of Computational Physics | 1992 | 49 |
| 31 | Hairpin removal in vortex interactions | Journal of Computational Physics | 1990 | 46 |
| 32 | Anthropogenic Contributions to the 2021 Pacific Northwest Heatwave | Geophysical Research Letters | 2022 | 45 |
| 33 | Blood flow imaging by optimal matching of computational fluid dynamics to 4D‐flow data | Magnetic Resonance in Medicine | 2020 | 44 |
| 34 | An Impulse-Based Approximation of Fluid Motion due to Boundary Forces | Journal of Computational Physics | 1996 | 42 |
| 35 | Computation of Time-Periodic Solutions of the Benjamin–Ono Equation | Journal of Nonlinear Science | 2010 | 40 |
| 36 | Large Dense Numerical Linear Algebra in 1993: the Parallel Computing Influence | The International Journal of Supercomputer Applications | 1993 | 37 |
| 37 | High-order methods for computing distances to implicitly defined surfaces | Communications in Applied Mathematics and Computational Science | 2014 | 36 |
| 38 | Fast Triangulated Vortex Methods for the 2D Euler Equations | Journal of Computational Physics | 1994 | 35 |
| 39 | A note on the intermediate region in turbulent boundary layers | Physics of Fluids | 2000 | 35 |
| 40 | Accuracy of the random vortex method for a problem with non-smooth initial conditions | Journal of Computational Physics | 1985 | 34 |
| 41 | Conditions for successful data assimilation | Journal of Geophysical Research D: Atmospheres | 2013 | 27 |
| 42 | Measurement of critical contact angle in a microgravity space experiment | Experiments in Fluids | 2000 | 26 |
| 43 | Application of the “Generalized Riemann Problem” method to 1-D compressible flows with material interfaces | Journal of Computational Physics | 1986 | 25 |
| 44 | Partition functions and equilibrium measures in two‐dimensional and quasi‐three‐dimensional turbulence | Physics of Fluids | 1996 | 24 |
| 45 | The problem of the spreading of a liquid film along a solid surface: A new mathematical formulation | Proceedings of the National Academy of Sciences of the United States of America | 1997 | 22 |
| 46 | Abundances of Uranium and Thorium Elements in Earth Estimated by Geoneutrino Spectroscopy | Geophysical Research Letters | 2022 | 21 |
| 47 | Crack jump conditions for elliptic problems | Applied Mathematics Letters | 1999 | 20 |
| 48 | A Lagrangian fractional step method for the incompressible navier-stokes equations on a periodic domain | Journal of Computational Physics | 1987 | 19 |
| 49 | Bulk and interfacial shear thinning of immiscible polymers | Physical Review E | 2002 | 19 |
| 50 | Comment on the paper “On the scaling of three-dimensional homogeneous and isotropic turbulence” by Benzi et al. | Physica D: Nonlinear Phenomena | 1999 | 18 |