Summation-by-parts finite-difference shallow water model on the cubed-sphere grid. I: Non-staggered grid
From MaRDI portal
Publication:2112497
DOI10.1016/j.jcp.2022.111797OpenAlexW4309767119MaRDI QIDQ2112497
Gordey S. Goyman, Vladimir V. Shashkin, Mikhail A. Tolstykh
Publication date: 11 January 2023
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jcp.2022.111797
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Geophysics (86Axx)
Related Items (1)
Uses Software
Cites Work
- A primal-dual mimetic finite element scheme for the rotating shallow water equations on polygonal spherical meshes
- Vorticity-divergence mass-conserving semi-Lagrangian shallow-water model using the reduced grid on the sphere
- Summation by parts operators for finite difference approximations of second-derivatives with variable coefficients
- High order finite difference and finite volume methods for advection on the sphere
- Summation-by-parts operators and high-order quadrature
- Energy conservative SBP discretizations of the acoustic wave equation in covariant form on staggered curvilinear grids
- Shallow water model on cubed-sphere by multi-moment finite volume method
- A compatible and conservative spectral element method on unstructured grids
- High-order finite-volume methods for the shallow-water equations on the sphere
- A stable and conservative high order multi-block method for the compressible Navier-Stokes equations
- A standard test set for numerical approximations to the shallow water equations in spherical geometry
- Summation by parts for finite difference approximations for \(d/dx\)
- Time-stable overset grid method for hyperbolic problems using summation-by-parts operators
- Review of summation-by-parts operators with simultaneous approximation terms for the numerical solution of partial differential equations
- Energy stable and high-order-accurate finite difference methods on staggered grids
- SBP-SAT finite difference discretization of acoustic wave equations on staggered block-wise uniform grids
- Spectral transform solutions to the shallow water test set
- The ``cubed sphere: A new method for the solution of partial differential equations in spherical geometry
- Semi-Lagrangian exponential time-integration method for the shallow water equations on the cubed sphere grid
- An improved projection method
- An efficient finite difference method for the shallow water equations
- On the theoretical foundation of overset grid methods for hyperbolic problems: well-posedness and conservation
- High-order numerical solutions to the shallow-water equations on the rotated cubed-sphere grid
- Extension of tensor-product generalized and dense-norm summation-by-parts operators to curvilinear coordinates
- Mixed finite elements for numerical weather prediction
- Statistical mechanics of Arakawa's discretizations
- Optimized high-order derivative and dissipation operators satisfying summation by parts, and applications in three-dimensional multi-block evolutions
- Summation by Parts, Projections, and Stability. I
This page was built for publication: Summation-by-parts finite-difference shallow water model on the cubed-sphere grid. I: Non-staggered grid
