A third order, implicit, finite volume, adaptive Runge-Kutta WENO scheme for advection-diffusion equations

DOI10.1016/j.cma.2020.113155zbMath1506.76108OpenAlexW3035426371MaRDI QIDQ2021178

Chieh-Sen Huang, Xikai Zhao, Danielle N. King, Todd Arbogast

Publication date: 26 April 2021

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2020.113155

zbMATH Keywords

adaptive Runge-KuttaL-stableimplicit WENOmultirate Runge-Kuttaspatially partitioned Runge-Kuttavon Neumann stable

Mathematics Subject Classification ID

Finite volume methods applied to problems in fluid mechanics (76M12) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (8)

Maximum principle preserving space and time flux limiting for diagonally implicit Runge-Kutta discretizations of scalar convection-diffusion equations ⋮ A pragmatic approach for enhancement of the weighted essentially non-oscillatory scheme based on local Mach number ⋮ Quinpi: integrating conservation laws with CWENO implicit methods ⋮ High resolution compact implicit numerical scheme for conservation laws ⋮ A new fifth-order alternative finite difference multi-resolution WENO scheme for solving compressible flow ⋮ An Eulerian-Lagrangian Runge-Kutta finite volume (EL-RK-FV) method for solving convection and convection-diffusion equations ⋮ Semi-implicit methods for advection equations with explicit forms of numerical solution ⋮ Bound-preserving flux limiting for high-order explicit Runge-Kutta time discretizations of hyperbolic conservation laws

Uses Software

• RODAS

Cites Work

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