Conservative explicit local time-stepping schemes for the shallow water equations

DOI10.1016/j.jcp.2019.01.006zbMath1451.65133OpenAlexW2913849529MaRDI QIDQ2214581

Lili Ju, Konstantin Pieper, Zhu Wang, Thi-Thao-Phuong Hoang, Wei Leng

Publication date: 9 December 2020

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

Full work available at URL: https://www.osti.gov/biblio/1594023

zbMATH Keywords

mass conservationfinite volume methodshallow water equationspotential vorticitylocal time-steppingstrong stability preserving Runge-Kutta

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (10)

Third order asynchronous time integration for gas dynamics ⋮ High-order multirate explicit time-stepping schemes for the baroclinic-barotropic split dynamics in primitive equations ⋮ A mass conservative, well balanced, tangency preserving and energy decaying method for the shallow water equations on a sphere ⋮ Local time stepping for the shallow water equations in MPAS ⋮ Conservative numerical schemes with optimal dispersive wave relations. II: Numerical evaluations ⋮ Adaptive total variation stable local timestepping for conservation laws ⋮ Dahlquist's barriers and much beyond ⋮ High order explicit local time stepping methods for hyperbolic conservation laws ⋮ Analysis and design of a local time stepping scheme for LES acceleration in reactive and non-reactive flow simulations ⋮ Operator splitting based structure-preserving numerical schemes for the mass-conserving convective Allen-Cahn equation

Uses Software

• Scotch
• chammp
• AMRCLAW
• MPAS-Ocean

Cites Work

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