article
Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection
Journal of Computational Physics · 1977 · Vol. 23(3) · pp. 276–299
Bram van Leer✉(Leiden University)
Computational Fluid Dynamics and AerodynamicsAdvanced Numerical Methods in Computational MathematicsWind and Air Flow StudiesScheme (mathematics)MathematicsConvectionFinite difference schemeNumerical analysisApplied mathematicsCalculus (dental)MechanicsMathematical analysisPhysics
Citations
2,403
FWCI
2.18
field-weighted impact
References
8
Percentile
87%
vs. same field & year
Citations per year
Cited by
The numerical simulation of two-dimensional fluid flow with strong shocks
Journal of Computational Physics · 1984 · 2,820 citations
Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
Journal of Computational Physics · 1979 · 6,931 citations
Towards the Ultimate Conservative Difference Scheme
Journal of Computational Physics · 1997 · 1,301 citations
The Piecewise Parabolic Method (PPM) for gas-dynamical simulations
Journal of Computational Physics · 1984 · 3,864 citations
The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advection
Computer Methods in Applied Mechanics and Engineering · 1991 · 1,006 citations
A comparative study of the turbulent Rayleigh–Taylor instability using high-resolution three-dimensional numerical simulations: The Alpha-Group collaboration
Physics of Fluids · 2004 · 437 citations
Multidimensional Flux-Form Semi-Lagrangian Transport Schemes
Monthly Weather Review · 1996 · 1,271 citations
The lattice Boltzmann equation: theory and applications
Physics Reports · 1992 · 2,037 citations
References
Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme
Journal of Computational Physics · 1974 · 2,142 citations
Flux-corrected transport. I. SHASTA, a fluid transport algorithm that works
Journal of Computational Physics · 1973 · 2,099 citations
Citation Network
How this paper connects to the literature. Drag to explore, click any node to open that paper.