Selective monotonicity preservation in scalar advection

DOI10.1016/j.jcp.2008.01.043zbMath1142.65069OpenAlexW2024688534MaRDI QIDQ924510

Peter N. Blossey, Dale R. Durran

Publication date: 16 May 2008

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2008.01.043

zbMATH Keywords

conservation lawsnumerical examplespiecewise parabolic methodflux correctionmonotonicity preservationflux corrected transportpolynomial reconstructionweighted essentially non-oscillatory methodsscalar advectionCourant-Friedrichs-Levy numbers

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

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Uses Software

• SHASTA

Cites Work

• Fully multidimensional flux-corrected transport algorithms for fluids
• The piecewise parabolic method (PPM) for gas-dynamical simulations
• High order hybrid central-WENO finite difference scheme for conservation laws
• Weighted essentially non-oscillatory schemes
• Adaptive multiresolution schemes for shock computations
• Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme
• Hybrid tuned center-difference-WENO method for large eddy simulations in the presence of strong shocks.
• Conservative hybrid compact-WENO schemes for shock-turbulence interaction
• Efficient implementation of weighted ENO schemes
• A high-resolution hybrid compact-ENO scheme for shock-turbulence interaction problems
• Application of the parabolic spline method (PSM) to a multi-dimensional conservative semi-Lagrangian transport scheme (SLICE)
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• Total variation diminishing Runge-Kutta schemes
• Finite Volume Methods for Hyperbolic Problems
• Runge--Kutta Discontinuous Galerkin Method Using WENO Limiters
• High-Resolution Conservative Algorithms for Advection in Incompressible Flow
• The Parabolic Spline Method (PSM) for conservative transport problems
• Flux-corrected transport. I: SHASTA, a fluid transport algorithm that works

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