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126 REFERENCES [45] Z. Nagy and P. Szolgay, “Configurable Multi-layer CNN-UM Emulator on FPGA,” IEEE Transaction on Circuit and Systems I: Fundamental Theory and Applications, vol. 50, pp. 774–778, 2003. 2.2, 4.1, 4.2 [46] Z. Nagy and P. Szolgay, “Solving Partial Differential Equations on Emulated Digital CNN-UM Architectures,” Functional Differential Equations, vol. 13, pp. 61–87, 2006. 2.2, 4.1 [47] P. Kozma, P. Sonkoly, and P. Szolgay, “Seismic Wave Modeling on CNN-UM Architecture,” Functional Differential Equations, vol. 13, no. 1, pp. 43–60, 2006. 2.2 [48] “Harvard ocean prediction system.” [Online] http://www.gfdl.noaa.gov/ocean-model, 2011. 2.2 [49] “Parallel ocean program.” [Online] http://climate.lanl.gov/Models/POP/, 2011. 2.2 [50] “Mit general circulation model.” [Online] http://mitgcm.org/, 2011. 2.2 [51] “The Princeton Ocean Model (POM).” [Online] http://www.aos.princeton.edu/aos, 2007. 2.2, 2.2 [52] V. Arakawa, A.; Lamb Methods of Computational Physics, pp. 173–165, 1977. 2.2 [53] C. K. Chu, “Numerical methods in fluid mechanics,” Advances in Applied Mechanics, 1978. 2.3.1 [54] J. W. Thomas, “Numerical partial differential equations: Finite difference methods,” Texts in Applied Mathematics, 1995. 2.3.1 [55] S. Kocsárdi, Z. Nagy, Á. Csík, and P. Szolgay, “Simulation of 2D inviscid, adiabatic, compressible flows on emulated digital CNN-UM,” International Journal of Circuit Theory and Applications, vol. 37, no. 4, pp. 569–585, 2009. 2.3.1, 3.1
5.2 Application of the results 127 [56] S. Kocsárdi, Z. Nagy, Á. Csík, and P. Szolgay, “Simulation of twodimensional inviscid, adiabatic, compressibleflows on emulated digital CNN-UM,” International Journal of Circuit Theory and Applications, vol. DOI:10.1002/cta.565, 2008. 2.3.1, 2.3.2.3 [57] S. Kocsárdi, Z. Nagy, Á. Csík, and P. Szolgay, “Two-dimensional compressible flow simulation on emulated digital CNN-UM,” in Proc. IEEE 11 th International Workshop on Cellular Neural Networks and their Applications (CNNA’08), (Santiago de Compostella, Spain), pp. 169–174, jul 2008. 2.3.1, 2.3.2.3 [58] G. K. Batchelor, An Introduction to Fluid Dynamics. Cambridge University Press, 1967. 2.3.2 [59] D. J. Acheson, “Elementary fluid dynamics,” Oxford Applied Mathematics and Computing Science Series, 1990. 2.3.2 [60] J. D. Anderson, Computational Fluid Dynamics - The Basics with Applications. McGraw Hill, 1995. 2.3.2 [61] T. J. Chung, Computational Fluid Dynamics. Cambridge University Press, 2002. 2.3.2 [62] K. Morton and D. Mayers, Numerical Solution of Partial Differential Equations, An Introduction. Cambridge University Press, 2005. 2.3.2.1 [63] G. A. Constantinides and G. J. Woeginger, “The complexity of multiple wordlength assignment,” Applied Mathematics Letters, vol. 15, pp. 137 – 140, 2002. 3 [64] “Mentor Graphics Inc..” [Online] http://www.mentor.com, 2011. 3.3 [65] “The GNU MPFR Library.” [Online] http://www.mpfr.org, 2011. 3.3 [66] “Alpha Data Inc..” [Online] http://www.aplha-data.com, 2011. 3.4 [67] “Intel performance libraries homepage.” [online] http://www.intel.com/software/product/perflib. 3.4
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An Optimal Mapping of Numerical Sim
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Acknowledgements It is not so hard
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Contents 1 Introduction 1 1.1 Cellu
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CONTENTS iii 4.3.3 Operating Steps
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vi LIST OF FIGURES 2.4 Performance
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List of Tables 2.1 Comparison of di
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xii LIST OF ABBREVIATIONS FPE Falco
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Chapter 1 Introduction Due to the r
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3 can be represented in arbitrary t
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1.1 Cellular Neural/Nonlinear Netwo
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1.2 Cellular Neural/Nonlinear Netwo
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1.3 CNN-UM Implementations 9 the Lo
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1.3 CNN-UM Implementations 11 modif
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1.4 Field Programmable Gate Arrays
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1.5 IBM Cell Broadband Engine Archi
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Chapter 2 Mapping the Numerical Sim
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2.1 Introduction 37 18 Load instruc
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2.1 Introduction 39 Instruction his
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2.1 Introduction 41 2E+07 1E+07 9E+
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2.1 Introduction 43 Main memory 8 t
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2.1 Introduction 45 6 4.5 3 Speedup
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2.1 Introduction 47 2.50E+07 1.88E+
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2.2 Ocean model and its implementat
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2.2 Ocean model and its implementat
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2.3 Computational Fluid Flow Simula
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Chapter 3 Investigating the Precisi
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3.2 Numerical Solutions of the PDEs
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3.3 Testing Methodology 73 In fixed
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