Optimal high-order diagonally-implicit Runge-Kutta schemes for nonlinear diffusive systems on atmospheric boundary layer

DOI10.1016/j.jcp.2014.01.039zbMath1349.76634OpenAlexW1972776715MaRDI QIDQ349255

Farshid Nazari, Ayrton Zadra, Martin Charron, Abdolmajid M. Mohammadian

Publication date: 5 December 2016

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

Full work available at URL: https://doi.org/10.1016/j.jcp.2014.01.039

zbMATH Keywords

stiff equationsnumerical stabilitynonlinear diffusionhigh-order accuracyatmospheric boundary layerdiagonally-implicit Runge-Kuttamulti-stage integrationoptimal schemes

Mathematics Subject Classification ID

Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Meteorology and atmospheric physics (86A10) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items

New optimized implicit-explicit Runge-Kutta methods with applications to the hyperbolic conservation laws ⋮ Phase error analysis of implicit Runge-Kutta methods: new classes of minimal dissipation low dispersion high order schemes ⋮ A new class of diagonally implicit Runge-Kutta methods with zero dissipation and minimized dispersion error ⋮ High-order low-dissipation low-dispersion diagonally implicit Runge-Kutta schemes

Uses Software

• MEBDF

Cites Work

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