Articles | Volume 11, issue 4
https://doi.org/10.5194/gmd-11-1497-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
https://doi.org/10.5194/gmd-11-1497-2018
© Author(s) 2018. This work is distributed under
the Creative Commons Attribution 4.0 License.
the Creative Commons Attribution 4.0 License.
Development and technical paper
| 
17 Apr 2018
Development and technical paper |
| 17 Apr 2018
| 17 Apr 2018
Implicit–explicit (IMEX) Runge–Kutta methods for non-hydrostatic atmospheric models
David J. Gardner
CORRESPONDING AUTHOR
Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, 7000 East Ave., Livermore, CA 94550, USA
Jorge E. Guerra
Department of Land, Air and Water Resources, University of California, Davis, One Shields Ave., Davis, CA 95616, USA
François P. Hamon
Center for Computational Sciences and Engineering, Lawrence Berkeley National Laboratory, 1 Cyclotron Rd., Berkeley, CA 94720
Daniel R. Reynolds
Department of Mathematics, Southern Methodist University, P.O. Box 750156, Dallas, TX 75257, USA
Paul A. Ullrich
Department of Land, Air and Water Resources, University of California, Davis, One Shields Ave., Davis, CA 95616, USA
Carol S. Woodward
Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, 7000 East Ave., Livermore, CA 94550, USA
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30 citations as recorded by crossref.
- When and how to split? A comparison of two IMEX splitting techniques for solving advection–diffusion–reaction equations A. Preuss et al. 10.1016/j.cam.2022.114418
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- An adaptive nonhydrostatic dynamical core using a multimoment finite‐volume method on a cubed sphere P. Huang et al. 10.1002/qj.4389
- A mixed mimetic spectral element model of the 3D compressible Euler equations on the cubed sphere D. Lee & A. Palha 10.1016/j.jcp.2019.108993
- The Tangent-Linear and Adjoint Models of the NEPTUNE Dynamical Core E. Zaron et al. 10.16993/tellusa.146
- Higher-order additive Runge–Kutta schemes for ordinary differential equations C. Kennedy & M. Carpenter 10.1016/j.apnum.2018.10.007
- Entropy–Preserving and Entropy–Stable Relaxation IMEX and Multirate Time–Stepping Methods S. Kang & E. Constantinescu 10.1007/s10915-022-01982-w
- A nonhydrostatic atmospheric dynamical core on cubed sphere using multi-moment finite-volume method C. Chen et al. 10.1016/j.jcp.2022.111717
- A high‐order WENO‐limited finite‐volume algorithm for atmospheric flow using the ADER‐differential transform time discretization M. Norman 10.1002/qj.3989
- Evaluation of Implicit‐Explicit Additive Runge‐Kutta Integrators for the HOMME‐NH Dynamical Core C. Vogl et al. 10.1029/2019MS001700
- Parallel-in-time multi-level integration of the shallow-water equations on the rotating sphere F. Hamon et al. 10.1016/j.jcp.2019.109210
- An assessment of implicit-explicit time integrators for the pseudo-spectral approximation of Boussinesq thermal convection in an annulus V. Gopinath et al. 10.1016/j.jcp.2022.110965
- A spectral deferred correction method for incompressible flow with variable viscosity J. Stiller 10.1016/j.jcp.2020.109840
- High order semi-implicit weighted compact nonlinear scheme for viscous Burgers’ equations Y. Jiang et al. 10.1016/j.matcom.2021.06.006
- An Energy Consistent Discretization of the Nonhydrostatic Equations in Primitive Variables M. Taylor et al. 10.1029/2019MS001783
- An energetically balanced, quasi-Newton integrator for non-hydrostatic vertical atmospheric dynamics D. Lee 10.1016/j.jcp.2020.109988
- Multi-level spectral deferred corrections scheme for the shallow water equations on the rotating sphere F. Hamon et al. 10.1016/j.jcp.2018.09.042
- A physics-based open atmosphere boundary condition for height-coordinate atmospheric models J. Kelly et al. 10.1016/j.jcp.2023.112044
- Mass-conserving implicit–explicit methods for coupled compressible Navier–Stokes equations S. Kang et al. 10.1016/j.cma.2021.113988
- Exponential Time Integration for 3d Compressible Atmospheric Models G. Rainwater et al. 10.2139/ssrn.4017201
- Numerical analyses of exponential time‐differencing schemes for the solution of atmospheric models S. Calandrini et al. 10.1002/qj.3975
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- Taste sensation evaluation for an electronic tongue based on an optimized computational model of taste pathways W. Zheng et al. 10.1088/1361-6501/ac9497
- Time integration of unsteady nonhydrostatic equations with dual time stepping and multigrid methods T. Yi 10.1016/j.jcp.2018.08.003
- A Two-Stage Fourth-Order Multimoment Global Shallow-Water Model on the Cubed Sphere Y. Che et al. 10.1175/MWR-D-20-0004.1
- Exact spatial and temporal balance of energy exchanges within a horizontally explicit/vertically implicit non-hydrostatic atmosphere D. Lee & A. Palha 10.1016/j.jcp.2021.110432
- Investigating Inherent Numerical Stabilization for the Moist, Compressible, Non‐Hydrostatic Euler Equations on Collocated Grids M. Norman et al. 10.1029/2023MS003732
- ARKODE: A Flexible IVP Solver Infrastructure for One-step Methods D. Reynolds et al. 10.1145/3594632
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Latest update: 18 Apr 2024
Short summary
As the computational power of supercomputing systems increases, and models for simulating the fluid flow of the Earth's atmosphere operate at higher resolutions, new approaches for advancing these models in time will be necessary. In order to produce the best possible result in the least amount of time, we evaluate a number of splittings, methods, and solvers on two test cases. Based on these results, we identify the most accurate and efficient approaches for consideration in production models.
As the computational power of supercomputing systems increases, and models for simulating the...
