Keywords
Conservation lawMonotonic functionScheme (mathematics)MathematicsNonlinear systemOrder (exchange)Quadratic equationApplied mathematicsMathematical analysisPhysicsGeometryEconomics
Affiliated Institutions
Related Publications
High-Order Monotonic Numerical Diffusion and Smoothing
High-order numerical diffusion is commonly used in numerical models to provide scale selective control over small-scale noise. Conventional high-order schemes have undesirable s...
Upwind difference schemes for hyperbolic systems of conservation laws
We derive a new upwind finite difference approximation to systems of nonlinear hyperbolic conservation laws. The scheme has desirable properties for shock calculations. Under fa...
Application of the Piecewise Parabolic Method (PPM) to Meteorological Modeling
The Piecewise Parabolic Method (PPM), a numerical technique developed in astrophysics for modeling fluid flows with strong shocks and discontinuities is adapted for treating sha...
Explicit Numerical Diffusion in the WRF Model
Abstract Diffusion that is implicit in the odd-ordered advection schemes in early versions of the Advanced Research core of the Weather Research and Forecasting (WRF) model is s...
Thermal lattice Bhatnagar-Gross-Krook model without nonlinear deviations in macrodynamic equations
We present a thermal lattice Bhatnager-Gross-Krook (BGK) model in D-dimensional space for the numerical simulation of fluid dynamics. This model uses a higher-order velocity exp...
Publication Info
- Year
- 1974
- Type
- article
- Volume
- 14
- Issue
- 4
- Pages
- 361-370
- Citations
- 2107
- Access
- Closed
External Links
Social Impact
Altmetric
PlumX Metrics
Social media, news, blog, policy document mentions
Citation Metrics
2107
OpenAlex
Cite This
Bram van Leer
(1974).
Towards the ultimate conservative difference scheme. II. Monotonicity and conservation combined in a second-order scheme.
Journal of Computational Physics
, 14
(4)
, 361-370.
https://doi.org/10.1016/0021-9991(74)90019-9
Identifiers
- DOI
- 10.1016/0021-9991(74)90019-9