An Adaptive Nonhydrostatic Atmospheric Dynamical Core Using a Multi-Moment Constrained Finite Volume Method

2022 ◽  
Author(s):  
Pei Huang ◽  
Chungang Chen ◽  
Xingliang Li ◽  
Xueshun Shen ◽  
Feng Xiao
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Dynamical Core ◽  
Volume Method

scholarly journals Single Precision in the Dynamical Core of a Nonhydrostatic Global Atmospheric Model: Evaluation Using a Baroclinic Wave Test Case

2018 ◽  
Vol 146 (2) ◽  
pp. 409-416 ◽  
Author(s):  
Masuo Nakano ◽  
Hisashi Yashiro ◽  
Chihiro Kodama ◽  
Hirofumi Tomita
Keyword(s):  
Finite Volume Method ◽  
Finite Volume ◽  
Double Precision ◽  
Baroclinic Wave ◽  
Single Precision ◽  
Dynamical Core ◽  
Wave Growth ◽  
Climate Simulations ◽  
Weather And Climate ◽  
Volume Method

Abstract Reducing the computational cost of weather and climate simulations would lower electric energy consumption. From the standpoint of reducing costs, the use of reduced precision arithmetic has become an active area of research. Here the impact of using single-precision arithmetic on simulation accuracy is examined by conducting Jablonowski and Williamson’s baroclinic wave tests using the dynamical core of a global fully compressible nonhydrostatic model. The model employs a finite-volume method discretized on an icosahedral grid system and its mesh size is set to 220, 56, 14, and 3.5 km. When double-precision arithmetic is fully replaced by single-precision arithmetic, a spurious wavenumber-5 structure becomes dominant in both hemispheres, rather than the expected baroclinic wave growth only in the Northern Hemisphere. It was found that this spurious wave growth comes from errors in the calculation of gridcell geometrics. Therefore, an additional simulation was conducted using double precision for calculations that only need to be performed for model setup, including calculation of gridcell geometrics, and single precision everywhere else, meaning that all calculations performed each time step used single precision. In this case, the model successfully simulated the growth of the baroclinic wave with only small errors and a 46% reduction in runtime. These results suggest that the use of single-precision arithmetic will allow significant reduction of computational costs in next-generation weather and climate simulations using a fully compressible nonhydrostatic global model with the finite-volume method.

Kinematic simulation of dynamo action by a hybrid boundary-element/finite-volume method

2008 ◽  
Vol 44 (3) ◽  
pp. 237-252 ◽  
Author(s):  
A. Giesecke ◽  
F. Stefani ◽  
G. Gerbeth
Keyword(s):  
Boundary Element ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Dynamo Action ◽  
Kinematic Simulation ◽  
Volume Method

scholarly journals A convergent finite volume method for the Kuramoto equation and related nonlocal conservation laws

2018 ◽  
Vol 40 (1) ◽  
pp. 405-421 ◽  
Author(s):  
N Chatterjee ◽  
U S Fjordholm
Keyword(s):  
Initial Data ◽  
Conservation Laws ◽  
Finite Volume Method ◽  
Finite Volume ◽  
Numerical Examples ◽  
Continuity Equations ◽  
Multiple Dimensions ◽  
Nonlocal Conservation Laws ◽  
Volume Method ◽  
Singular Data

Abstract We derive and study a Lax–Friedrichs-type finite volume method for a large class of nonlocal continuity equations in multiple dimensions. We prove that the method converges weakly to the measure-valued solution and converges strongly if the initial data is of bounded variation. Several numerical examples for the kinetic Kuramoto equation are provided, demonstrating that the method works well for both regular and singular data.

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