[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-202160-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-202160-en":131},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","towards-self-consistent-simulation-of-radial-effects-on-an-axial-pic-model-of-the-hall-discharge-iepc-2024-699","Towards Self-Consistent Simulation of Radial Effects on an Axial PIC Model of the Hall Discharge - IEPC-2024-699","","Wall interactions play a decisive role in Hall thruster plasma behavior, yet full 3D kinetic Particle-In-Cell modeling is computationally prohibitive. This work presents a new wall interaction model for an axial PIC formulation, introducing a radial potential profile that distinguishes presheath from an infinitely thin sheath. Electrons and ions move radially according to this prescription, while particle removal is based on their radial energy relative to the sheath potential, capturing kinetic plasma-wall effects. Accuracy is validated against comparable axial-radial PIC results and robustness is assessed with respect to numerical parameters.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/research-report/","Research & Report",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/towards-self-consistent-simulation-of-radial-effects-on-an-axial-pic-model-of-the-hall-discharge-iepc-2024-699/202160/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/towards-self-consistent-simulation-of-radial-effects-on-an-axial-pic-model-of-the-hall-discharge-iepc-2024-699/202160.png","ImageObject",300,407,{"name":42,"@type":43},"Berry Peter","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-22","2026-09-04",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",11,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"Why are reduced-dimensional PIC models commonly used for Hall thruster discharges?","Question",{"text":63,"@type":64},"3D kinetic modeling demands extensive computational resources and can lead to impractically long computation times. Reduced 1D/2D approaches are therefore used to simulate the discharge more efficiently.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How does the proposed wall interaction model treat electron and ion motion?",{"text":68,"@type":64},"The model moves electrons and ions radially by prescribing a radial potential profile that differentiates between the presheath and an infinitely thin sheath.",{"name":70,"@type":61,"acceptedAnswer":71},"How does the model decide when particles are removed at the wall?",{"text":72,"@type":64},"Particle removal is determined by comparing each particle’s radial energy with the sheath potential, enabling kinetic effects on plasma-wall interactions.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},202160,1788543048,{"code":4,"msg":82,"data":83},"success",[84,88,92,96,101,106,111,115,120,123,127],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":93,"show_sort_weight":94,"slug":95},"Exam",70,"exam",{"id":97,"doc_module":4,"doc_module_name":25,"category_name":98,"show_sort_weight":99,"slug":100},5,"Comic",60,"comic",{"id":102,"doc_module":4,"doc_module_name":25,"category_name":103,"show_sort_weight":104,"slug":105},6,"Technology",50,"technology",{"id":107,"doc_module":4,"doc_module_name":25,"category_name":108,"show_sort_weight":109,"slug":110},7,"Healthcare",40,"healthcare",{"id":112,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":113,"slug":114},8,30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":97,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":112,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":140,"language":141,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":142,"faqs":143,"seo_title":144,"seo_description":12,"update_tm":80,"read_time":145,"preview_page_count":4},1374402524268,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","Towards self-consistent simulation of radial effects on an axial PIC model of the Hall discharge  \nIEPC-2024-699  \nPresented at the 38th International Electric Propulsion Conference, Toulouse, France  \nJune 23-28, 2024  \nGuillermo Cuerva-L´azaro∗, Enrique Bello-Ben´ıtez†, Alberto Mar´ın-Cebri´an‡, and Eduardo Ahedo§ Department of Aerospace Engineering, Universidad Carlos III de Madrid, Legan´es, Madrid, 28911, Spain  \nThe computational demands of 3D kinetic modeling of a Hall Thruster discharge are significant, requiring substantial resources and often resulting in impractically long computation times. As a result, reduced-dimensionality codes are commonly employed, some incorporating the effects of the unmodeled dimension(s) . In this work, we introduced anew model to study wall interactions in a PIC simulation. Our model moves electrons and ions radially by prescribing a radial potential profile that differentiates between presheath and infinitely thin sheath. Particle removal is determined based on their radial energy relative to the sheath potential, allowing for kinetic effects on plasma-wall interactions. As a proof of concept, we include this model in axial PIC simulations of a Hall thruster discharge, assessing its physical accuracy, comparing the results with similar axial-radial PIC simulations, and evaluating its robustness against numerical parameters. This new wall interaction model could, in the future, be coupled with axial-azimuthal PIC simulations serving as an effective middle ground between computationally expensive 3D kinetic modeling and traditional 2D axial-azimuthal PIC simulations.  \n∗ PhD student, Department of Aerospace Engineering, [gcuerva@ing.uc3m.es](gcuerva@ing.uc3m.es)[ ](gcuerva@ing.uc3m.es)†PhD student, Department of Aerospace Engineering, [ebello@ing.uc3m.es](ebello@ing.uc3m.es)[ ](ebello@ing.uc3m.es)‡PhD student, Department of Aerospace Engineering, [almarinc@pa.uc3m.es](almarinc@pa.uc3m.es)  \n§ Professor, Department of Aerospace Engineering, eahedo@ing.uc3m.es  \n1  \nThe 38th International Electric Propulsion Conference, P. Baudis Convention Center, Toulouse, France, June 23-28, 2024 Copyright 2024 by the Electric Rocket Propulsion Society. All rights reserved.  \nNomenclature  \ne = Fundamental charge  \nnn = Neutral density  \nuzn = Neutral average axial velocity  \nm˙ = Neutral mass flow  \nTn = Neutral temperature  \nm˙zi = Axial ion flow  \nmi = Ion mass  \nni = Ion density  \nTi = Ion temperature  \ncs = Ion sound velocity  \nuzn = Ion axial velocity  \nuriQ = Ion radial velocity at sheath edge  \nSprod = Source term due to ionization  \nme = Electron mass  \nne = Electron density  \nTe = Electron temperature  \npe = Electron pressure  \nEr = Radial Electric field  \nBm = Maximum magnetic field  \nϕsh = Potential drop at the sheath  \nϕ∗sh = Theoretical potential drop at the sheath  \nδϕsh = Perturbation of potential drop at the sheath  \nj∗W = Theoretical wall current  \njW = Wall current density  \nIW = Wall current  \nϕ = Electric potential  \nνe = Effective electron collision frequency  \nαano = Anomalous coefficient  \nI∞ = Plume current  \nVd = Discharge voltage  \nId = Discharge current  \nrW = Wall radius  \nLr = Channel width  \nLch = Channel length  \nA = Channel cross-section  \nzm = Location of maximum magnetic field  \nlm = Exponential decay length of the magnetic field  \nc˜ = artificial capacitance  \nwp = Particle weight  \n∆l = Grid size  \n∆t = Time-step  \nfD = Augmentation factor  \nϵ0 = Vacuum permittivity  \nωce = Electron cyclotron frequency  \nνe = Electron effective collision frequency  \nHET = Hall Effect Thruster  \nPIC = Particle-In-Cell  \nMCC = Monte Carlo Collision  \n2  \nThe 38th International Electric Propulsion Conference, P. Baudis Convention Center, Toulouse, France, June 23-28, 2024 Copyright 2024 by the Electric Rocket Propulsion Society. All rights reserved.  \nI. Introduction  \nThe 3D kinetic modeling of a Hall Thruster discharge requires extensive resources and sometimes unfeasible  \ncomputation","cbCaibqa0JKXw2jR","https://ap.wps.com/l/cbCaibqa0JKXw2jR","pdf",3072226,15,"English","# Introduction\n## Background on reduced-dimensionality Hall thruster modeling\n## Need to include radial wall effects in PIC simulations\n## Prior wall-interaction approaches and limitations\n## Proposed wall interaction model and validation plan","[{\"question\":\"Why are reduced-dimensional PIC models commonly used for Hall thruster discharges?\",\"answer\":\"3D kinetic modeling demands extensive computational resources and can lead to impractically long computation times. Reduced 1D/2D approaches are therefore used to simulate the discharge more efficiently.\"},{\"question\":\"How does the proposed wall interaction model treat electron and ion motion?\",\"answer\":\"The model moves electrons and ions radially by prescribing a radial potential profile that differentiates between the presheath and an infinitely thin sheath.\"},{\"question\":\"How does the model decide when particles are removed at the wall?\",\"answer\":\"Particle removal is determined by comparing each particle’s radial energy with the sheath potential, enabling kinetic effects on plasma-wall interactions.\"}]","Towards Self-Consistent Simulation of Radial Effects on an Axial PIC Model of the Hall Discharge - IEPC-2024-699 | PDF",38]