articleTop 10% cited
The ULTIMATE conservative difference scheme applied to unsteady one-dimensional advection
Computer Methods in Applied Mechanics and Engineering · 1991 · Vol. 88(1) · pp. 17–74
B. P. Leonard✉(University of Akron)
Computational Fluid Dynamics and AerodynamicsFluid Dynamics and Turbulent FlowsAdvanced Numerical Methods in Computational MathematicsStencilAdvectionMathematicsUpwind schemeFlux limiterApplied mathematicsCourant–Friedrichs–Lewy conditionTotal variation diminishingEllipseMathematical analysis
Funding
- University of Leeds
- U.S. Naval Research Laboratory
Citations
1,006
FWCI
4.22
field-weighted impact
References
25
Percentile
94%
vs. same field & year
Citations per year
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
Towards the ultimate conservative difference scheme. IV. A new approach to numerical convection
Journal of Computational Physics · 1977 · 2,403 citations
A stable and accurate convective modelling procedure based on quadratic upstream interpolation
Computer Methods in Applied Mechanics and Engineering · 1979 · 4,172 citations
Towards the ultimate conservative difference scheme. V. A second-order sequel to Godunov's method
Journal of Computational Physics · 1979 · 6,931 citations
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