Profiling and scalability of the high resolution NCEP model for Weather and Climate Simulations

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1 Profiling and scalability of the high resolution NCEP model for Weather and Climate Simulations Phani R, Sahai A. K, Suryachandra Rao A, Jeelani SMD Indian Institute of Tropical Meteorology Dr. Homi Bhabha Road, Pashan, Pune Abstract Coupled climate modeling has become one of the most challenging fields with the development of multicore architectures and its importance in daily weather and climate predictions. At IITM, PRITHVI cluster (~70TF), NCEP Climate Forecast System (CFS) and its atmospheric component (GFS) have been installed on IBM Power6 architecture. Here, we investigate the scalability of the MPI- OPenMP hybrid models (CFS, GFS) and the limitations of hybrid spectral models when going to high resolutions. Also, this paper looks into the performance and scaling with these two models (CFS, GFS) on the TeraFLOP cluster, varying the threads and describes the preliminary results for the high resolution simulations. Keywords-CFS; GFS; scalability; profiling I. INTRODUCTION With the advancement of science and multi-core architectures in High Performance Computing (HPC), the need and expectation of accurate weather and climate predictions for the Government agencies and agricultural organizations have increased. One of the daunting challenges for the weather forecasters and climate modelers is to have better scalable models [1-3]. Efforts are being made to improve weather forecast by running the models at high resolution with more sophisticated physics and radiation calls which is of very high cost. Apart from this, ensemble technique which is now being used for the seasonal and climate predictions in-turn make the experiments highly computationally expensive. Presently, on an IBM Power6, Global Forecast System (GFS) model with T574 spectral resolution (27 KM), takes ~24 minutes for a one day simulation on 128 cores, which is time consuming. We look at this issue how it can be scaled by varying the MPI tasks and the OpenMP threads. Also, the recent innovations on increasing the density of cores in each node/chip, the challenge lies in scaling the model on these architectures with the variation in the MPI and OpenMP tasks. The speed up and the model performance are two main issues which are very much governed by the system architectures [4,5]. The speedup can be improved by increasing the number of MPI tasks or the OpenMP threads in the MPI-OpenMP parallel implementation of the model. Recent results suggest that the work sharing between the cores in the MPI-OpenMP parallel implementation results in much improved performance and consumes less communication and I/O bandwidth [2]. With this, the multicore architectures have gained much significance for running hybrid MPI-OpenMP models on these architectures [2,5,6]. In this paper, we look into the Climate Forecast System (CFS) model and its atmospheric component Global Forecast System (GFS) model, their performance on the IBM Power 6 PRITHVI. We confine our results for three different spectral resolutions CFS T382, T126 and GFS T574. We look at the scalability problem of GFS T574 by varying the number of threads and CFS T382 scalability by varying the number of cores. Also, the high-resolution model (GFS T382) is compared with the low resolution model (GFS T126) and we look closely at the variations in these simulations. II. THE MODEL The NCEP Climate Forecast System (CFS) version 2 [7] is a fully coupled ocean-land-atmosphere dynamical seasonal prediction model installed on PRITHVI (IITM) under the Ministry of Earth Sciences (MOES) and NCEP MOU. This model is an operational version of NCEP released recently. At IITM, the CFS model is being run at two different resolutions T382 (~35 KM), T126 (~100KM) for the seasonal and extended range prediction. The atmospheric component of the CFS is the GFS model, includes both the global analysis and forecast components, which implies that GFS can also be used for the weather forecast. The Oceanic component of the CFS is the MoM4p0 and land-surface model is of NAOH. Interoperability is achieved with the ocean, atmosphere, seaice and the land-surface components being coupled with the Earth System Modelling Framework (ESMF) coupler and runs on the Multiple Program Multiple Data (MPMD) paradigm /12/$ IEEE

2 A. Ocean Model NCEP CFS model contains the Mom4P0 ocean model [8] which is a finite difference version of the ocean primitive equations configured under the Boussinesq and hydrostatic approximations. The model uses the tripolar grid with the latitude typically taken at 65 N and the other two grids are at poles situated over land which will not have any consequences for running the numerical ocean model. The horizontal layout is a staggered Arakawa B grid and geometric height is in the vertical. The model has a varying resolution in the meridonal direction with 0.25 between 10 S and 10 N, gradually increasing to 0.5 poleward of 30 N and 30 S and the zonal direction with 0.5 resolution. The time-step for this ocean model was 1800 seconds. Running the CFS model is different from GFS model, CFS has to be allocated few processors for the ocean component to run while for the GFS it was not required. For example, if the model has been allocated 128 cores with 60 cores to the ocean, GFS runs on 67 cores with one core being allocated to the coupler. B. Atmospheric Model GFS is global atmospheric numerical weather prediction model developed by NCEP-NOAA [9,10]. This is a spectral triangular model with hybrid MPI-OpenMP parallel implementation and has 64 levels in the vertical direction. Domain decomposition and data communication depend on the numerical methods used in the model. Most of the Atmospheric models are three dimensional and the domain decomposition can be up to three dimensions. Because of its domain dependent computations, like cloud microphysics, parameterization schemes NCEP GFS model is a threedimensional model with one-dimensional decomposition. This makes the limitation for the GFS model in the maximum number of tasks to the number in the latitudes but can have usage of OpenMP threads. In the paper, we discuss the GFS T574 (~27KM) along with the CFS T382 (~35KM) models. For each of these resolutions, forecast simulations have been done for 8 days and the total runtimes have been averaged to 1 day. Both the models have been run in forecast mode with 6 hourly outputs and the time-step for CFS was 600 seconds while for GFS was 120 seconds. In the last part of our paper, we compare the GFS T126 with the GFS T382 results by giving an observed SST forcing. Simulation for the GFS T126 (Forced Sea Surface Temperature (SST)) and GFS T382 (Forced SST) have been performed for 55 years and 40 years respectively, and the time taken for each of these runs are 21 days and 48 days respectively on 128 cores. III. THE SYSTEM Prithvi s IBM Power6 processors support Simultaneous Multithreading (SMT) which is one of the multi-core technology on which the hybrid models are supposed to giver better performance. SMT is a processor technology that allows two separate instruction streams (threads) to run concurrently on the same physical processor, improving overall throughput. On PRITHVI, there are 117 nodes with 128 GB of memory and each node is equipped with 16 Power6 processors, or 32 physical cores. With SMT switched on, there are 64 logical cores (virtual cpus). Since each node runs its own operating system, they can be rebooted or repaired independently from the others, resulting in higher availability of the overall. It should be noted that only the 32 physical cores within each node have direct access to the memory. Also, the total number of cores for a hybrid model to run in each node can be a maximum of 64 on IBM Power6 architecture. Due to this reason we can vary the OpenMP threads to a maximum of 32 and a minimum of 2 MPI tasks in each node. IBM s MPI and LAPI are being used for parallel communication while the Infiband network is Qlogic. Figure 1. GFS scalability plot for MPI tasks 128 and 400 by varying the threads. IV. EFFICIENCY OF THREADING Climate model involves solving the Navier-Strokes dynamical equations at each grid-point by different methods. Out of the finite difference, finite volume, finite element, spectral element and spectral method, spectral method gives good exponential convergence (for smooth solution) and the elimination of pole problems when using spherical coordinates. The main disadvantage of using the spectral method is the occurrence of Gibbs phenomena and the limitation of the spectral truncations. The climate models which we have presented here, CFS and GFS are also a part of them. When running CFS, or the GFS, the atmospheric model spectral dynamical core supports 1D decomposition over latitude. For this reason, we cannot increase the number of MPI tasks in running the model

3 beyond the spectral truncation. For example, if we are working on GFS T574 spectral resolution, it means that the spectral triangular truncations are 574 and the number of MPI tasks cannot be larger than 574. The other option is to run the climate models with OpenMP threads and we have performed experiments by varying the OpenMP threads on different cores rather than running on the same core. There was an apprehension that running threads on different cores in a multi-core architecture can increase the performance rather than on a single core. We address this question by performing this experiment on our multi-core PRITHVI system that allows threading to run on virtual and physical cores concurrently. Our aim is to run the model by varying the OpenMP threads within each node and look into the scalability issues. V. RESULTS AND DISCUSSIONS Hybrid model scalability performance can be better understood by varying the MPI and the OpenMP threads. Initial experiment was performed on the GFS T574 atmospheric model in varying the OpenMP threads. In this experiment, the total MPI tasks have been fixed and increased the OpenMP threads in each node from 1 to 32, thereby decreasing the MPI tasks in each node from 64 to 2 (1 OpenMP thread has 64 MPI tasks, 2 threads have 32 MPI tasks, 8 threads have 8 MPI tasks, 16 OpenMP threads have 4 MPI tasks in each node). Two experiments have been performed on this model with MPI task equal to 128 and the other with MPI tasks equal to 400 and varying the OpenMP threads. For example, with 400 MPI tasks and 8 OpenMP threads, the model has been run on 3200 cores ~ 50 nodes ~ 30TF. Fig.1 shows the scalability plot of GFS T574 for two MPI tasks 400 and 128. The GFS model is highly scalable with 128 MPI tasks but for the 400MPI tasks it is scalable till 8 threads perfectly but beyond that it has not efficiently scalable. Though 128 MPI tasks is better scaling than the 400 MPI tasks, but it is slower. Consider 8 OpenMP threads, the model takes 10.7 minutes for 128 MPI tasks (9.6 TF), while it takes 5.3 minutes for 400 MPI tasks (30TF). Having the same number of MPI and OpenMP tasks in each node and changing the total MPI tasks is very much effective on the timings. In fact, both the curves reach a limit, asymptotically as the number of threads per node is increased. This can be an inherent problem in the model. The speed-up of the model is calculated from the ratio of the time taken for a single core to the total time of number of cores. In this work, we have defined as the ratio between the times taken for a single thread to the total number of threads. Speed-up of the GFS model for both 128 MPI tasks and 400 MPI tasks is same up to 8 threads but changes the linearity when the threads are 16 which were plotted in Fig.2. From these two figures, we understand that one has to be careful in the selection of the right approach as both curves have the same speed-up till 8 threads. Though 128 MPI tasks curve gives good scalability, 400 MPI tasks with 8 threads would be a better option in running the model. Increasing the OpenMP threads on hybrid architectures may not be an option, but have a cap on the number of threads is required. In this experiment, 8 OpenMP threads in each node give an efficient scalability. Figure 3. With OpenMP threads equal to one, total time taken for 1 day simulation of GFS T574 and CFS T382 models by varying the total number of cores. We cannot increase the number of MPI tasks beyond the spectral truncations. Figure 2. Speed up of the GFS T574 model by varying the number of threads for two different MPI tasks 128 and 400. The performance of CFS and GFS models without threading is shown in Fig3. MPI tasks have been varied in these two models with OpenMP threads equal to one. For

4 the CFS T382, the number of cores for the ocean has been fixed to 60. Both the models are scalable until their limit of spectral truncations. It is very much interesting to compare the time taken for GFS T574 with threads (Fig.1) and without threads (Fig.3). Consider 512 total tasks, without threads GFS T574 takes 10.5 minutes, while with 128 MPI tasks and 4 threads takes 15.9 minutes. Pure MPI job takes less time than the job with threads, because, the GFS model is a spectral dynamical core with 1D decomposition, the MPI tasks can be a maximum of the spectral truncations. Mean climatological precipitation plots were shown in Fig.4 for the Indian subcontinent in which GFS (forced SST) T126 and T382 spectral resolutions are compared with the observations. The observations are from Indian Meteorological Department (IMD) and the GPCP (Global Precipitation Climatology Project). The IMD and GPCP are 1 x 1 data, while, GFS (Forced SST) T126 and T382 are 1 x 1 data and 0.3 x 0.3 respectively. Fig.4 shows that the observations are in good agreement with the model plots over the land. Also, the increase in resolution has considerable increase in the orographic features remarkably. We observe that there are few dark colors at some places and they appear periodically (where the mountains are located) which is nothing but Gibbs phenomenon inherent in the spectral models at high resolution. In conclusions, the model output data does not vary (RMS error difference is zero) with the threads nor with the cores, which makes us to believe that the hybrid MPI- OpenMP parallel implementation on the multi-core architectures has a tremendous potential to be improved in terms of the scalability. On the multi-core architectures, the performance of GFS and CFS models have been studied and looked into the scalability issues. GFS T574 is scalable up to 32 OpenMP threads with 128 MPI tasks, but the same is not true for 400 MPI tasks. Experimental results with the GFS T574 spectral resolution show that beyond 8 OpenMP threads the linearity in the speedup is lost. In this analysis, 400 MPI tasks with 8 OpenMP threads give better scalable results. Furthermore, the model improvement is performed with the high resolution model. This issue was addressed by looking at the CFS T126 and CFS T382 spectral models and comparing with the observational data. Though the orographic precipitation features have considerably increased over land but came across with Gibbs phenomenon at few places. Mere increase in the resolution may give us better results but the Gibbs phenomenon has to be taken into account in running the model. The GFS and CFS models are scalable with the MPI-tasks being less than the spectral triangular truncations. With MPI tasks near to the spectral triangular truncation, OpenMP threading gives better performance on the hybrid architectures ACKNOWLEDGMENT IITM is fully funded by Ministry of Earth Sciences. PR would like to thank Prof. Ravi Nanjundiah, IISc for his valuable inputs and Rajan, IBM. REFERENCES [1] Chunhua Liao, Zhenying Liu, Lei Huang and Barbara Chapman, Evaluating OpenMP on Chip MultiThreading Platforms, Lecture Notes in Computer Science, vol. 4315, pp , [2] David Champ, Christoph Garth, Hank Childs, Dave Pugmire and Kenneth I. Joy, Streamline Integration Using MPI-Hybrid Parallelism on a Large Multicore Architecture, IEEE Transactions on Visualization and Computer Graphics, 12, [3] H Hirata, K Kimura, S Nagamine, Y Mochizuki, A Nishimura, Y Nakase, T Nishizawa, An elementary processor architecture with simultaneous instruction issuing from multiple threads, Proceedings of the 19th annual international symposium on Computer architecture, , [4] I Foster, W. Gropp, R.Stevens, Parallel Scalability of the Spectral Transform Method", Proceedings of the fifth SIAM conference on "Parallel Processing on Scientific Computing, page 307, [5] John Drakea, Ian Foster, John Michalakesb, Brian Toonenb, Patrick Worleya, "Design and performance of a scalable parallel community climate model", Parallel Computing, 21, , [6] David Tam, Reza Azimi, Michael Stumm, Thread clustering: sharing-aware sheduling on SMP-CMp-SMT, Proceedings of the 2nd ACM SIGOPS/EuroSys European Conference on Computer Systems, [7] Suranjana, Saha et.al., The NCEP Climate Forecast System Version2, 2012, Submitted to Journal of Climate. [8] Stephen Griffies M. Harrison, Ronald C. Pacanowski and Antony Rosati, A technical guide to MoM4, GFDL Ocean Group Technical Report 5, NOAA, [9] NCEP NOAA: Envoronomental Modelling Center, The GFS Atmospheric model NCEP Office Note 442, Global Climate and Weather Modelling Branch, EMC, Camp Springs, Maryland, [10] Han J, H-L Pan, Revision and Convection of Vertical Diffusion in the NCEP Global Forecast System, Weather and Forecasting, 2011, 26,

5 Figure 4. Mean Climatological precipitation plot for a) GFS T126 (forced Sea Surface Temperature (SST)) for 55 years at 384 x 190 grid resolution b) GFS T382 (forced SST) for 40 years at 1152 x 576 grid resolution c) IMD station observational data at 360 x 180 grid resolution d) GPCP observational data at 360 x 180 grid resolution.

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