A nonhydrostatic atmospheric dynamical core on cubed sphere using multi-moment finite-volume method

DOI10.1016/j.jcp.2022.111717OpenAlexW4307056668MaRDI QIDQ2106913

Chungang Chen, Feng Xiao, Xueshun Shen, Xing-Liang Li

Publication date: 29 November 2022

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

Full work available at URL: https://arxiv.org/abs/2202.13368

zbMATH Keywords

finite difference methoddynamical corecubed-sphere gridatmospheric dynamicsnonhydrostatic modelmulti-moment method

Mathematics Subject Classification ID

Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Geophysics (86-XX)

Uses Software

• chammp

Cites Work

• chammp
• Runge-Kutta IMEX schemes for the Horizontally Explicit/Vertically Implicit (HEVI) solution of wave equations
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• Shallow water model on cubed-sphere by multi-moment finite volume method
• High-order finite-volume methods for the shallow-water equations on the sphere
• High order multi-moment constrained finite volume method. I: Basic formulation
• A standard test set for numerical approximations to the shallow water equations in spherical geometry
• A small-scale dynamic model using a terrain-following coordinate transformation
• Implicit-explicit Runge-Kutta methods for time-dependent partial differential equations
• A note on the general multi-moment constrained flux reconstruction formulation for high order schemes
• A non-oscillatory multi-moment finite volume scheme with boundary gradient switching
• Unified formulation for compressible and incompressible flows by using multi-integrated moments. II. Multi-dimensional version for compressible and incompressible flows
• A Slope Constrained 4th Order Multi-Moment Finite Volume Method with WENO Limiter

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