Kim, Charlson C.; Parker, Scott E. Massively parallel three-dimensional toroidal gyrokinetic flux-tube turbulence simulation. (English) Zbl 0980.76058 J. Comput. Phys. 161, No. 2, 589-604 (2000). Summary: We propose a massively parallel three-dimensional nonlinear gyrokinetic flux-tube simulation model. This simulation is used to study turbulent heat transport in core tokamak fusion plasmas. This model allows for high resolution simulations of ion-temperature-gradient-driven turbulence using realistic plasma parameters and assuming locality of the turbulent fluctuations. The simulation model, computational techniques, and parallel algorithms are discussed. The use of field-aligned coordinates allows for a natural domain decomposition in the direction along the magnetic field with good parallel performance. Digital filtering along the field line maintains proper toroidal and poloidal periodicity. A new approach to parallelization, “domain cloning,” is presented. Domain cloning is another layer of parallelization. It is an alternative to a two-dimensional domain decomposition and may be useful for clustered symmetric-multiprocessor machines. Performance results are presented for two high-performance massively parallel computers. Cited in 7 Documents MSC: 76M20 Finite difference methods applied to problems in fluid mechanics 76X05 Ionized gas flow in electromagnetic fields; plasmic flow 76F25 Turbulent transport, mixing 65Y05 Parallel numerical computation Keywords:digital filtering; domain cloning; massively parallel three-dimensional nonlinear gyrokinetic flux-tube simulation model; turbulent heat transport; core tokamak fusion plasmas; ion-temperature-gradient-driven turbulence; turbulent fluctuations; field-aligned coordinates; clustered symmetric-multiprocessor machines PDFBibTeX XMLCite \textit{C. C. Kim} and \textit{S. E. Parker}, J. Comput. Phys. 161, No. 2, 589--604 (2000; Zbl 0980.76058) Full Text: DOI References: [1] Parker, S.; Lee, W.; Santoro, R., Phys. Rev. Lett., 71, 2042 (1993) [2] Dimits, A.; Williams, T.; Byers, J.; Cohen, B., Phys. Rev. Lett., 77, 71 (1996) [3] Sydora, R.; Decyk, V.; Dawson, J., Plasma Phys. Controlled Fusion A, 38, 281 (1996) [4] Lin, Z.; Hahm, T.; Lee, W.; Tang, W.; White, R., Science, 281, 1835 (1998) [5] Parker, S.; Mynick, H.; Artun, M.; Decyk, V.; Kepner, J.; Lee, W.; Tang, W., Phys. Plasmas, 3, 1461 (1996) [6] Dimits, A., Phys. Rev. E, 48, 4070 (1993) [7] Waltz, R.; Kerbel, G.; Milovich, J., Phys. Plasmas, 1, 2229 (1994) [8] Parker, S.; Dorland, W.; Santoro, R.; Beer, M.; Liu, Q.; Lee, W.; Hammett, G., Phys. Plasmas, 1, 1461 (1994) [9] Beer, M.; Cowley, S.; Hammett, G., Phys. Plasmas, 2, 2686 (1995) [10] S. Parker, M. Artun, V. Decyk, J. Kepner, W. Lee, H. Mynick, and, W. Tang, in, Advanced Series in Nonlinear Dynamics, edited by, S. Benkadda, F. Doveil, and Y. Elskens, World Scientific, Singapore, 1996, Vol, 9.; S. Parker, M. Artun, V. Decyk, J. Kepner, W. Lee, H. Mynick, and, W. Tang, in, Advanced Series in Nonlinear Dynamics, edited by, S. Benkadda, F. Doveil, and Y. Elskens, World Scientific, Singapore, 1996, Vol, 9. [11] Dimits, A.; Lee, W., J. Comput. Phys., 107, 309 (1993) [12] Parker, S.; Lee, W., Phys. Fluids B, 5, 77 (1993) [13] Hu, G.; Krommes, J., Phys. Plasmas, 1, 863 (1994) [14] Cowley, S.; Kulsrud, R.; Sudan, R., Phys. Fluids B, 13, 2767 (1991) [15] Decyk, V., Comput. Phys. Comm., 87, 87 (1995) [16] T. Williams, in, Proceedings, High Performance Computing: Grand Challenges for Compiter Simulation, Arlington, VA, March 29, 1995.; T. Williams, in, Proceedings, High Performance Computing: Grand Challenges for Compiter Simulation, Arlington, VA, March 29, 1995. [17] Mankofsky, A., Comput. Phys. Comm., 48, 155 (1988) [18] Kepner, J.; Parker, S.; Decyk, V., SIAM News, 30, 1 (1997) [19] Frieman, E.; Chen, L., Phys. Fluids, 25, 502 (1982) [20] Lee, W., Phys. Fluids, 26, 556 (1983) [21] Dubin, D.; Krommes, J.; Oberman, C.; Lee, W., Phys. Fluids, 26, 3524 (1983) [22] Hahm, T. S., Phys. Fluids, 31, 2670 (1988) [23] W. Dorland, Ph.D. thesis, Princeton University, 1993.; W. Dorland, Ph.D. thesis, Princeton University, 1993. [24] Hammett, G.; Beer, M.; Dorland, W.; Cowley, S.; Smith, S., Plasma Phys. Controlled Fusion, 35, 973 (1993) [25] M. Beer, Ph.D. thesis, Princeton University, 1996.; M. Beer, Ph.D. thesis, Princeton University, 1996. [26] White, R. B.; Chance, M. S., Phys. Fluids, 27, 2454 (1984) [27] Lee, W. W., J. Comput. Phys., 72, 243 (1987) [28] Cheng, C. Z.; Okuda, H., J. Comput. Phys., 25, 133 (1977) [29] Lee, W. W.; Okuda, H., J. Comput. Phys., 26, 139 (1978) [30] Hamming, R. W., Introduction to Applied Numerical Analysis (1971) · Zbl 0228.65002 [31] Birdsall, C.; Langdon, A., Plasma Physics via Computer Simulation (1985) [32] R. A. Santoro, Ph.D. thesis, Princeton University, 1994.; R. A. Santoro, Ph.D. thesis, Princeton University, 1994. [33] Parker, S.; Kim, C.; Chen, Y., Phys. Plasmas, 6, 1709 (1999) [34] Parker, S.; Chen, Y.; Kim, C., Comput. Phys. Com., 127, 59 (2000) [35] Dimits, A.; Cohen, B.; Mattor, N.; Nevins, W.; Shumaker, D.; Parker, S.; Kim, C., Nuclear Fusion, 40, 661 (2000) [36] Dimits, A., Phys. Plasmas, 7, 969 (2000) [37] Winsor, N.; Johnson, J.; Dawson, J., Phys. Fluids, 11, 2448 (1968) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.