Two conservative multi-tracer efficient semi-Lagrangian schemes for multiple processor systems integrated in a spectral element (climate) dynamical core

Erath, Christoph; Taylor, Mark A.; Nair, Ramachandran D.

doi:10.1515/caim-2016-0023

Cited by 4 publications

(6 citation statements)

References 33 publications

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“…As future work, we plan to optimize the data communication approach in semi‐Lagrangian advection and physical process. Additionally, the performance of atmospheric spectral model can be improved by Graphics Processing Unit (GPU) or Monolithic Integrated Circuit (MIC), and it is a great help in improving the computational efficiency of atmospheric model .…”

Section: Discussionmentioning

confidence: 99%

PAGCM: A scalable parallel spectral‐based atmospheric general circulation model

Ren

Zhao

et al. 2019

Concurrency and Computation

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The Atmospheric General Circulation Model (AGCM) as one of the most important components of Climate System Model (CSM), has been proved to be an effective way for weather forecasting and climate prediction. Although lots of efforts have been conducted to improve the computing efficiency of AGCMs, such as exploit parallel algorithms, migrating codes, and even redesigning systems to adapt to the emerging computer architectures, it is not enough to match the real requirement, due to the limited scalability of the parallel algorithms themselves. Therefore, we design and implement a scalable parallel spectral-based atmospheric circulation mode called PAGCM in this paper. Specifically, we first analyze the data dependencies of the dimensions in different spaces according to the calculation characteristics of spectral models, and based on which we propose a two-dimensional decomposition algorithm in PAGCM to effectively increase the involving cores for the parallel computing, and thus reduce the overall computing time.Furthermore, to adapt to the novel data decomposition in each computing stage of dynamic framework, we propose three-dimensional data transposition algorithms and data collection algorithms correspondingly, by considering of load balancing and communication optimization.Extensive experiments are conducted on Tianhe-2 to validate the effectiveness and scalability of our proposals. KEYWORDS atmospheric general circulation model, parallel computing, scalability, spectral model INTRODUCTIONGlobal climate and environmental changes under global warming, have been one of the great challenges facing human societies in recent decades.There are various factors lead to these changes, which comprehensively reflect the complex interactions among atmosphere, hydrosphere, cryosphere, lithosphere, and biosphere within the climate system. The Climate System Model (CSM) as an effective tool for establishing numerical models for simulating the interactions and exploring the nature for the climate change, has received increasing attention with the rapid development of computers in recent decades. 1,2 After many years of efforts by countless researchers, now there exist many CSMs and their variations for climate prediction. Particulary, most existing CSMs are the loosely coupled systems consisting of several components. The Atmospheric General Circulation Model (AGCM) as one of the most important components, has been proved to be an effective way for weather forecasting and climate prediction 3-5 and has been a major focus of research in Meteorology and Climatology community.Generally, AGCMs usually require integration of mass data over several years or even decades. 3,6,7 Such large-scale calculations needs powerful computing capability, which forces us to enhance the capability of high performance computing, as well as to exploit more efficient algorithms to improve the computing efficiency. As far as we know, the trend of research on AGCMs mainly lies in improving the accuracy and computing efficiency. To improve the accura...

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Section: Discussionmentioning

confidence: 99%

PAGCM: A scalable parallel spectral‐based atmospheric general circulation model

Ren

Zhao

et al. 2019

Concurrency and Computation

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“…Systems of advection--diffusion--reaction (ADR) equations model the chemical or biochemical processes involving several species transported by a fluid. These systems are responsible for most of the computational cost of typical environmental fluid dynamics models, such as those applied in climate, water and air quality and oceanic biogeochemistry modeling for long term simulations [6,16,17]. Also in applications to medium range weather forecasting, which consider shorter time ranges, the number of interacting transported species can be quite large.…”

Section: Introductionmentioning

confidence: 99%

“…These are then coupled to implicit methods for the diffusion and reaction step. As discussed in [16,17], SL methods have the advantage that all the computational work that makes them computationally more expensive per time step than standard Eulerian techniques is indeed independent of the number of tracers, which allows to achieve easily a superior efficiency level in the limit of a large number of tracers.…”

Section: Introductionmentioning

confidence: 99%

Second Order Fully Semi-Lagrangian Discretizations of Advection-Diffusion-Reaction Systems

et al. 2021

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We propose a second order, fully semi-Lagrangian method for the numerical solution of systems of advection-diffusion-reaction equations, which is based on a semi-Lagrangian approach to approximate in time both the advective and the diffusive terms. The proposed method allows to use large time steps, while avoiding the solution of large linear systems, which would be required by implicit time discretization techniques. Standard interpolation procedures are used for the space discretization on structured and unstructured meshes. A novel extrapolation technique is proposed to enforce second-order accurate Dirichlet boundary conditions. We include a theoretical analysis of the scheme, along with numerical experiments which demonstrate the effectiveness of the proposed approach and its superior efficiency with respect to more conventional explicit and implicit time discretizations.

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“…Large systems of advection-diffusion-reaction equations are responsible for most of the computational cost of typical environmental fluid dynamics models, such as are applied in climate modelling, water and air quality models and oceanic biogeochemistry [5], [12], [13]. Also in short and medium range weather forecasting, the number of interacting transported species is significant and drives the choice of optimal time discretization approaches towards methods that allow the use of large time steps [35].…”

Section: Introductionmentioning

confidence: 99%

“…The standard ways to achieve such optimal efficiency are either the use of implicit schemes, or the application of semi-Lagrangian (SL) techniques, [14], [30] to the advection step, coupled to implicit methods for the diffusion and reaction step. As discussed in [12], [13], SL methods have the advantage that all the computational work that makes them computationally more expensive per time step than standard Eulerian techniques is indeed independent of the number of tracers, which allows to achieve easily a superior efficiency level in the limit of a large number of tracers.…”

Section: Introductionmentioning

confidence: 99%

Second order fully semi-Lagrangian discretizations of advection-diffusion-reaction systems

Bonaventura¹,

Carlini²,

Calzola³

et al. 2020

Preprint

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We propose a second order, fully semi-Lagrangian method for the numerical solution of systems of advection-diffusion-reaction equations, which employs a semi-Lagrangian approach to approximate in time both the advective and the diffusive terms. Standard interpolation procedures are used for the space discretization on structured and unstructured meshes. The proposed method allows for large time steps, while avoiding the solution of large linear systems, which would be required by an implicit time discretization technique. Numerical experiments demonstrate the effectiveness of the proposed approach and its superior efficiency with respect to more conventional explicit and implicit time discretizations.

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Two conservative multi-tracer efficient semi-Lagrangian schemes for multiple processor systems integrated in a spectral element (climate) dynamical core

Cited by 4 publications

References 33 publications

PAGCM: A scalable parallel spectral‐based atmospheric general circulation model

PAGCM: A scalable parallel spectral‐based atmospheric general circulation model

Second Order Fully Semi-Lagrangian Discretizations of Advection-Diffusion-Reaction Systems

Second order fully semi-Lagrangian discretizations of advection-diffusion-reaction systems

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