Advanced Search+
Kristel GHOOS, Heinke FRERICHS, Wouter DEKEYSER, Giovanni SAMAEY, Martine BAELMANS. Numerical accuracy and convergence with EMC3-EIRENE[J]. Plasma Science and Technology, 2020, 22(5): 54001-054001. DOI: 10.1088/2058-6272/ab5866
Citation: Kristel GHOOS, Heinke FRERICHS, Wouter DEKEYSER, Giovanni SAMAEY, Martine BAELMANS. Numerical accuracy and convergence with EMC3-EIRENE[J]. Plasma Science and Technology, 2020, 22(5): 54001-054001. DOI: 10.1088/2058-6272/ab5866

Numerical accuracy and convergence with EMC3-EIRENE

Funds: The work of K Ghoos was sponsored by Flanders Innovation and Entrepreneurship (IWT.141064) and a travel grant (V4.128.18N) from Research Foundation—Flanders (FWO). Parts of the work are supported by the Research Foundation Flanders (FWO) under project grant G078316N. The computational resources and services used in this work were provided by the VSC (Flemish Supercomputer Center), funded by the Research Foundation—Flanders (FWO) and the Flemish Government—department EWI.
More Information
  • Received Date: July 21, 2019
  • Revised Date: November 13, 2019
  • Accepted Date: November 17, 2019
  • The iterative Monte Carlo (MC) code EMC3-EIRENE is frequently used for plasma edge simulations in 3D applications. So far, a quantitative evaluation of the numerical quality of the code results remains an open issue. In this paper, we demonstrate a framework for the practical assessment of accuracy and convergence with EMC3-EIRENE. Moreover, we provide a first accuracy analysis with EMC3-EIRENE for a DIII-D divertor edge plasma case. First, we introduce post-processing averaging to efficiently reduce the variance of the statistical error. Then, we estimate the deterministic error contributions based on their theoretical reduction rates by comparing solutions with a different grid resolution, time step, or number of MC particles per iteration. Finally, using parameterized expressions for the error and the computational time, suitable numerical parameters are determined to achieve faster and/or more accurate results. We found that simulations can be more than twice as fast without losing accuracy by making use of post-processing averaging and choosing optimal parameters. In addition, we conclude that the discretization error is the dominant error contribution for the case selected in this paper, which demonstrates the importance of constructing an adequate mesh.
  • [1]
    Feng Y et al 2004 Contr. Plasmas Phys. 44 57
    [2]
    Reiter D et al 2005 Fusion Sci. Technol. 47 172
    [3]
    Feng Y et al 2014 Contr. Plasmas Phys. 54 426
    [4]
    Schmitz O et al 2016 Nucl. Fusion 56 066008
    [5]
    Feng Y et al 1999 J. Nucl. Mater. 266–269 812
    [6]
    Van Kampen N G 1981 Stochastic Processes in Physics and Chemistry (Amsterdam: North-Holland)
    [7]
    Kobayash M et al 2004 Contr. Plasmas Phys. 44 25
    [8]
    Ghoos K et al 2018 Contr. Plasmas Phys. 58 652
    [9]
    Ghoos K et al 2019 Nucl. Fusion 59 026001
    [10]
    Baelmans M et al 2016 Nucl. Mater. Energy 12 858
    [11]
    Brown F B 2009 A review of Monte Carlo criticality calculations—convergence, bias, statistics Int. Conf. on Mathematics, Computational Methods and Reactor Physics (New York: American Nuclear Society)
    [12]
    Newman M E J et al 1999 Monte Carlo Methods in Statistical Physics (Oxford: Oxford University Press)
    [13]
    Xu J et al 1999 J. Comput. Phys. 152 192
    [14]
    Marandet Y et al 2016 Contr. Plasmas Phys. 56 60
    [15]
    Ghoos K et al 2017 Numerical error estimation in Random Noise coupled plasma edge simulations in nuclear fusion reactors Proc. Int. Conf. on Mathematics and Computational Methods Applied to Nuclear Science and Engineering (Korea) (Daejeon: Korean Nuclear Society)
    [16]
    Ghoos K 2019 Accuracy-based simulation strategies for plasma edge simulations for nuclear fusion devices PhD Thesis KU Leuven
    [17]
    Roache P J 1994 J. Fluids Eng. 116 405
    [18]
    Ghoos K et al 2016 J. Comput. Phys. 322 162
    [19]
    Dekeyser W et al 2018 Contr. Plasma Phys. 58 643
  • Related Articles

    [1]ZHANG Junmin (张俊民), LU Chunrong (卢春荣), GUAN Yonggang (关永刚), LIU Weidong (刘卫东). Calculation of Nozzle Ablation During Arcing Period in an SF6 Auto-Expansion Circuit Breaker[J]. Plasma Science and Technology, 2016, 18(5): 506-511. DOI: 10.1088/1009-0630/18/5/11
    [2]ZHONG Jianying (钟建英), GUO Yujing (郭煜敬), ZHANG Hao (张豪). Pressure and Arc Voltage Measurement in a 252 kV SF6 Puffer Circuit Breaker[J]. Plasma Science and Technology, 2016, 18(5): 490-493. DOI: 10.1088/1009-0630/18/5/08
    [3]ZHANG Junmin (张俊民 ), CHI Chengbin (迟程缤), GUAN Yonggang (关永刚), LIU Weidong (刘卫东), WU Junhui (吴军辉). Simulation of Arc Rotation and Its Effects on Pressure of Expansion Volume in an Auto-Expansion SF6 Circuit Breaker[J]. Plasma Science and Technology, 2016, 18(3): 287-291. DOI: 10.1088/1009-0630/18/3/12
    [4]LIN Xin (林莘), WANG Feiming (王飞鸣), XU Jianyuan (徐建源), XIA Yalong (夏亚龙), LIU Weidong (刘卫东). Study on the Mathematical Model of Dielectric Recovery Characteristics in High Voltage SF6 Circuit Breaker[J]. Plasma Science and Technology, 2016, 18(3): 223-229. DOI: 10.1088/1009-0630/18/3/02
    [5]A. K. FEROUANI, M. LEMERINI, L. MERAD, M. HOUALEF. Numerical Modelling Point-to-Plane of Negative Corona Discharge in N2 Under Non-Uniform Electric Field[J]. Plasma Science and Technology, 2015, 17(6): 469-474. DOI: 10.1088/1009-0630/17/6/06
    [6]WEI Hao (魏浩), SUN Fengju (孙凤举), YIN Jiahui (尹佳辉), HU Yixiang (呼义翔), LIANG Tianxue (梁天学), CONG Peitian (丛培天), QIU Aici (邱爱慈). Numerical Simulation of Azimuthal Uniformity of Injection Currents in Single-Point-Feed Induction Voltage Adders[J]. Plasma Science and Technology, 2015, 17(3): 235-240. DOI: 10.1088/1009-0630/17/3/11
    [7]CHENG Xian (程显), DUAN Xiongying (段雄英), LIAO Minfu (廖敏夫), et al.. The Voltage Distribution Characteristics of a Hybrid Circuit Breaker During High Current Interruption[J]. Plasma Science and Technology, 2013, 15(8): 800-806. DOI: 10.1088/1009-0630/15/8/16
    [8]Vahid ABBASI, Ahmad GHOLAMI, Kaveh NIAYESH. The Effects of SF6-Cu Mixture on the Arc Characteristics in a Medium Voltage Puffer Gas Circuit Breaker due to Variation of Thermodynamic Properties and Transport Coefficients[J]. Plasma Science and Technology, 2013, 15(6): 586-592. DOI: 10.1088/1009-0630/15/6/18
    [9]YIN Mingli (阴明利), TIAN Canxin (田灿鑫), WANG Zesong (王泽松), FU Dejun (付德君). Influences of Bias Voltage and Target Current on Structure, Microhardness and Friction Coefficient of Multilayered TiAlN/ CrN Coatings Synthesized by Cathodic Arc Plasma Deposition[J]. Plasma Science and Technology, 2013, 15(6): 582-585. DOI: 10.1088/1009-0630/15/6/17
    [10]YANG Fei(杨飞), MA Ruiguang ( 马瑞光), WU Yi( 吴翊), SUN Hao( 孙昊), NIU Chunping( 纽春萍), RONG Mingzhe(荣命哲). Numerical study on arc plasma behavior during arc commutation process in direct current circuit breaker[J]. Plasma Science and Technology, 2012, 14(2): 167-171. DOI: 10.1088/1009-0630/14/2/16
  • Cited by

    Periodical cited type(2)

    1. Yang, H., Zhang, J., Shen, Z. Water-based metamaterial absorber for temperature modulation. Physica Scripta, 2024, 99(10): 105563. DOI:10.1088/1402-4896/ad7b8a
    2. Liu, Y.L., Chen, W.C., Guo, B. Magneto-optical effects on the properties of the photonic spin Hall effect owing to the defect mode in photonic crystals with plasma. AIP Advances, 2019, 9(7): 075111. DOI:10.1063/1.5094664

    Other cited types(0)

Catalog

    Article views (193) PDF downloads (89) Cited by(2)

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return