Jin Guo, Yuchen Xu, Shifeng Mao, Guoliang Xu, Minyou Ye
{"title":"跨场反常扩散对带有活化漂移的刮除层中钨杂质迁移影响的模拟研究","authors":"Jin Guo, Yuchen Xu, Shifeng Mao, Guoliang Xu, Minyou Ye","doi":"10.1002/ctpp.202300130","DOIUrl":null,"url":null,"abstract":"Tungsten (W) impurity eroded from the divertor target can degrade the confinement performance of future fusion reactors. The mechanism of the effect of <i>E</i> × <i>B</i> drift on the W transport in the scrape-off layer (SOL) was investigated with a fixed cross-field anomalous particle diffusion coefficient for W ions (<i>D</i><sub>⊥,W</sub>) of 1 m<sup>2</sup>s<sup>−1</sup> in our previous simulation work, which indicates that the W flux entering the confined region (<i>Γ</i><sub>enter</sub>) and mean W concentration in the confined region (<mjx-container aria-label=\"upper C Subscript normal upper W Superscript a v g\" ctxtmenu_counter=\"0\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\"><mjx-semantics><mjx-mrow><mjx-msubsup data-semantic-children=\"0,1,2\" data-semantic-collapsed=\"(4 (3 0 1) 2)\" data-semantic- data-semantic-role=\"latinletter\" data-semantic-speech=\"upper C Subscript normal upper W Superscript a v g\" data-semantic-type=\"subsup\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.309em; margin-left: -0.045em;\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\" size=\"s\" style=\"margin-left: 0.138em;\"><mjx-c></mjx-c><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mi><mjx-spacer style=\"margin-top: 0.18em;\"></mjx-spacer><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c></mjx-c></mjx-mi></mjx-script></mjx-msubsup></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml aria-hidden=\"true\" display=\"inline\" unselectable=\"on\"><math altimg=\"/cms/asset/fbd033f7-9ccd-46b3-8538-6a67d8c5f73f/ctpp202300130-math-0001.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msubsup data-semantic-=\"\" data-semantic-children=\"0,1,2\" data-semantic-collapsed=\"(4 (3 0 1) 2)\" data-semantic-role=\"latinletter\" data-semantic-speech=\"upper C Subscript normal upper W Superscript a v g\" data-semantic-type=\"subsup\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"4\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">C</mi><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"4\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" mathvariant=\"normal\">W</mi><mi data-semantic-=\"\" data-semantic-font=\"normal\" data-semantic-parent=\"4\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\" mathvariant=\"normal\">avg</mi></msubsup></mrow>$$ {C}_{\\mathrm{W}}^{\\mathrm{avg}} $$</annotation></semantics></math></mjx-assistive-mml></mjx-container>) can be increased by more than one order of magnitude by drifts. In this work, the influence of the cross-field anomalous diffusion on the W transport in the SOL is further investigated. The basic flow pattern of the W ion flux (<i>Γ</i><sub>W</sub>) keeps when <i>D</i><sub>⊥,W</sub> varying from 0.5 to 3 m<sup>2</sup>s<sup>−1</sup>, and <i>Γ</i><sub>enter</sub> mainly comes from the hotter divertor region. Results show that <i>D</i><sub>⊥,W</sub> value affects the W leakage from divertor region and entry into confined region. Therefore, <i>Γ</i><sub>enter</sub> and <mjx-container aria-label=\"upper C Subscript normal upper W Superscript a v g\" ctxtmenu_counter=\"1\" ctxtmenu_oldtabindex=\"1\" jax=\"CHTML\" role=\"application\" sre-explorer- style=\"font-size: 103%; position: relative;\" tabindex=\"0\"><mjx-math aria-hidden=\"true\"><mjx-semantics><mjx-mrow><mjx-msubsup data-semantic-children=\"0,1,2\" data-semantic-collapsed=\"(4 (3 0 1) 2)\" data-semantic- data-semantic-role=\"latinletter\" data-semantic-speech=\"upper C Subscript normal upper W Superscript a v g\" data-semantic-type=\"subsup\"><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\"><mjx-c></mjx-c></mjx-mi><mjx-script style=\"vertical-align: -0.309em; margin-left: -0.045em;\"><mjx-mi data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\" size=\"s\" style=\"margin-left: 0.138em;\"><mjx-c></mjx-c><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mi><mjx-spacer style=\"margin-top: 0.18em;\"></mjx-spacer><mjx-mi data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic- data-semantic-parent=\"4\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" size=\"s\"><mjx-c></mjx-c></mjx-mi></mjx-script></mjx-msubsup></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml aria-hidden=\"true\" display=\"inline\" unselectable=\"on\"><math altimg=\"/cms/asset/2d6a9e31-ee23-46e4-b6a2-1771145f74f6/ctpp202300130-math-0002.png\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><semantics><mrow><msubsup data-semantic-=\"\" data-semantic-children=\"0,1,2\" data-semantic-collapsed=\"(4 (3 0 1) 2)\" data-semantic-role=\"latinletter\" data-semantic-speech=\"upper C Subscript normal upper W Superscript a v g\" data-semantic-type=\"subsup\"><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"italic\" data-semantic-parent=\"4\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\">C</mi><mi data-semantic-=\"\" data-semantic-annotation=\"clearspeak:simple\" data-semantic-font=\"normal\" data-semantic-parent=\"4\" data-semantic-role=\"latinletter\" data-semantic-type=\"identifier\" mathvariant=\"normal\">W</mi><mi data-semantic-=\"\" data-semantic-font=\"normal\" data-semantic-parent=\"4\" data-semantic-role=\"unknown\" data-semantic-type=\"identifier\" mathvariant=\"normal\">avg</mi></msubsup></mrow>$$ {C}_{\\mathrm{W}}^{\\mathrm{avg}} $$</annotation></semantics></math></mjx-assistive-mml></mjx-container> both decrease with increasing <i>D</i><sub>⊥,W</sub>. Mechanisms for cases w/wo drifts are compared.","PeriodicalId":10700,"journal":{"name":"Contributions to Plasma Physics","volume":null,"pages":null},"PeriodicalIF":1.3000,"publicationDate":"2024-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Simulation study of the influence of the cross-field anomalous diffusion on the tungsten impurity transport in the scrape-off layer with activated drifts\",\"authors\":\"Jin Guo, Yuchen Xu, Shifeng Mao, Guoliang Xu, Minyou Ye\",\"doi\":\"10.1002/ctpp.202300130\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Tungsten (W) impurity eroded from the divertor target can degrade the confinement performance of future fusion reactors. The mechanism of the effect of <i>E</i> × <i>B</i> drift on the W transport in the scrape-off layer (SOL) was investigated with a fixed cross-field anomalous particle diffusion coefficient for W ions (<i>D</i><sub>⊥,W</sub>) of 1 m<sup>2</sup>s<sup>−1</sup> in our previous simulation work, which indicates that the W flux entering the confined region (<i>Γ</i><sub>enter</sub>) and mean W concentration in the confined region (<mjx-container aria-label=\\\"upper C Subscript normal upper W Superscript a v g\\\" ctxtmenu_counter=\\\"0\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" role=\\\"application\\\" sre-explorer- style=\\\"font-size: 103%; position: relative;\\\" tabindex=\\\"0\\\"><mjx-math aria-hidden=\\\"true\\\"><mjx-semantics><mjx-mrow><mjx-msubsup data-semantic-children=\\\"0,1,2\\\" data-semantic-collapsed=\\\"(4 (3 0 1) 2)\\\" data-semantic- data-semantic-role=\\\"latinletter\\\" data-semantic-speech=\\\"upper C Subscript normal upper W Superscript a v g\\\" data-semantic-type=\\\"subsup\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c></mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.309em; margin-left: -0.045em;\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\" size=\\\"s\\\" style=\\\"margin-left: 0.138em;\\\"><mjx-c></mjx-c><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mi><mjx-spacer style=\\\"margin-top: 0.18em;\\\"></mjx-spacer><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\" size=\\\"s\\\"><mjx-c></mjx-c></mjx-mi></mjx-script></mjx-msubsup></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml aria-hidden=\\\"true\\\" display=\\\"inline\\\" unselectable=\\\"on\\\"><math altimg=\\\"/cms/asset/fbd033f7-9ccd-46b3-8538-6a67d8c5f73f/ctpp202300130-math-0001.png\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><semantics><mrow><msubsup data-semantic-=\\\"\\\" data-semantic-children=\\\"0,1,2\\\" data-semantic-collapsed=\\\"(4 (3 0 1) 2)\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-speech=\\\"upper C Subscript normal upper W Superscript a v g\\\" data-semantic-type=\\\"subsup\\\"><mi data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\">C</mi><mi data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\" mathvariant=\\\"normal\\\">W</mi><mi data-semantic-=\\\"\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\" mathvariant=\\\"normal\\\">avg</mi></msubsup></mrow>$$ {C}_{\\\\mathrm{W}}^{\\\\mathrm{avg}} $$</annotation></semantics></math></mjx-assistive-mml></mjx-container>) can be increased by more than one order of magnitude by drifts. In this work, the influence of the cross-field anomalous diffusion on the W transport in the SOL is further investigated. The basic flow pattern of the W ion flux (<i>Γ</i><sub>W</sub>) keeps when <i>D</i><sub>⊥,W</sub> varying from 0.5 to 3 m<sup>2</sup>s<sup>−1</sup>, and <i>Γ</i><sub>enter</sub> mainly comes from the hotter divertor region. Results show that <i>D</i><sub>⊥,W</sub> value affects the W leakage from divertor region and entry into confined region. Therefore, <i>Γ</i><sub>enter</sub> and <mjx-container aria-label=\\\"upper C Subscript normal upper W Superscript a v g\\\" ctxtmenu_counter=\\\"1\\\" ctxtmenu_oldtabindex=\\\"1\\\" jax=\\\"CHTML\\\" role=\\\"application\\\" sre-explorer- style=\\\"font-size: 103%; position: relative;\\\" tabindex=\\\"0\\\"><mjx-math aria-hidden=\\\"true\\\"><mjx-semantics><mjx-mrow><mjx-msubsup data-semantic-children=\\\"0,1,2\\\" data-semantic-collapsed=\\\"(4 (3 0 1) 2)\\\" data-semantic- data-semantic-role=\\\"latinletter\\\" data-semantic-speech=\\\"upper C Subscript normal upper W Superscript a v g\\\" data-semantic-type=\\\"subsup\\\"><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic- data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\"><mjx-c></mjx-c></mjx-mi><mjx-script style=\\\"vertical-align: -0.309em; margin-left: -0.045em;\\\"><mjx-mi data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\" size=\\\"s\\\" style=\\\"margin-left: 0.138em;\\\"><mjx-c></mjx-c><mjx-c></mjx-c><mjx-c></mjx-c></mjx-mi><mjx-spacer style=\\\"margin-top: 0.18em;\\\"></mjx-spacer><mjx-mi data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic- data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\" size=\\\"s\\\"><mjx-c></mjx-c></mjx-mi></mjx-script></mjx-msubsup></mjx-mrow></mjx-semantics></mjx-math><mjx-assistive-mml aria-hidden=\\\"true\\\" display=\\\"inline\\\" unselectable=\\\"on\\\"><math altimg=\\\"/cms/asset/2d6a9e31-ee23-46e4-b6a2-1771145f74f6/ctpp202300130-math-0002.png\\\" xmlns=\\\"http://www.w3.org/1998/Math/MathML\\\"><semantics><mrow><msubsup data-semantic-=\\\"\\\" data-semantic-children=\\\"0,1,2\\\" data-semantic-collapsed=\\\"(4 (3 0 1) 2)\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-speech=\\\"upper C Subscript normal upper W Superscript a v g\\\" data-semantic-type=\\\"subsup\\\"><mi data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"italic\\\" data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\">C</mi><mi data-semantic-=\\\"\\\" data-semantic-annotation=\\\"clearspeak:simple\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"latinletter\\\" data-semantic-type=\\\"identifier\\\" mathvariant=\\\"normal\\\">W</mi><mi data-semantic-=\\\"\\\" data-semantic-font=\\\"normal\\\" data-semantic-parent=\\\"4\\\" data-semantic-role=\\\"unknown\\\" data-semantic-type=\\\"identifier\\\" mathvariant=\\\"normal\\\">avg</mi></msubsup></mrow>$$ {C}_{\\\\mathrm{W}}^{\\\\mathrm{avg}} $$</annotation></semantics></math></mjx-assistive-mml></mjx-container> both decrease with increasing <i>D</i><sub>⊥,W</sub>. Mechanisms for cases w/wo drifts are compared.\",\"PeriodicalId\":10700,\"journal\":{\"name\":\"Contributions to Plasma Physics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2024-02-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Contributions to Plasma Physics\",\"FirstCategoryId\":\"101\",\"ListUrlMain\":\"https://doi.org/10.1002/ctpp.202300130\",\"RegionNum\":4,\"RegionCategory\":\"物理与天体物理\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"PHYSICS, FLUIDS & PLASMAS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Contributions to Plasma Physics","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1002/ctpp.202300130","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"PHYSICS, FLUIDS & PLASMAS","Score":null,"Total":0}
引用次数: 0
摘要
掺杂钨（W）杂质从掺杂靶侵蚀出来会降低未来聚变反应堆的约束性能。在我们之前的模拟工作中，当 W 离子的横场反常粒子扩散系数（D⊥,W）固定为 1 m2s-1 时，我们研究了 E × B 漂移对 W 在刮离层（SOL）中传输的影响机制、这表明，漂移会使进入约束区域的 W 通量（Γenter）和约束区域的平均 W 浓度（CWavg$$ {C}_\{mathrm{W}}^{mathrm{avg}} $$）增加一个数量级以上。在这项工作中，我们进一步研究了跨场反常扩散对 W 在 SOL 中传输的影响。当 D⊥,W 变化范围为 0.5 至 3 m2s-1 时，W 离子通量（ΓW）保持基本流动模式，而Γenter 主要来自较热的分流区。结果表明，D⊥,W 值会影响 W 从分流区的泄漏和进入封闭区。因此，Γenter 和 CWavg$$ {C}_{\mathrm{W}}^{mathrm{avg}} 都会随着 D⊥ 的增大而减小。$$ 都会随着 D⊥,W 的增大而减小。比较了两种漂移情况的机理。
Simulation study of the influence of the cross-field anomalous diffusion on the tungsten impurity transport in the scrape-off layer with activated drifts
Tungsten (W) impurity eroded from the divertor target can degrade the confinement performance of future fusion reactors. The mechanism of the effect of E × B drift on the W transport in the scrape-off layer (SOL) was investigated with a fixed cross-field anomalous particle diffusion coefficient for W ions (D⊥,W) of 1 m2s−1 in our previous simulation work, which indicates that the W flux entering the confined region (Γenter) and mean W concentration in the confined region () can be increased by more than one order of magnitude by drifts. In this work, the influence of the cross-field anomalous diffusion on the W transport in the SOL is further investigated. The basic flow pattern of the W ion flux (ΓW) keeps when D⊥,W varying from 0.5 to 3 m2s−1, and Γenter mainly comes from the hotter divertor region. Results show that D⊥,W value affects the W leakage from divertor region and entry into confined region. Therefore, Γenter and both decrease with increasing D⊥,W. Mechanisms for cases w/wo drifts are compared.
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