{"id":"https://openalex.org/W7124446590","doi":"https://doi.org/10.1016/j.softx.2026.102514","title":"CUBE: Cubed-sphere projection for adaptive mesh generation in spherical coordinates","display_name":"CUBE: Cubed-sphere projection for adaptive mesh generation in spherical coordinates","publication_year":2026,"publication_date":"2026-01-16","ids":{"openalex":"https://openalex.org/W7124446590","doi":"https://doi.org/10.1016/j.softx.2026.102514"},"language":"en","primary_location":{"id":"doi:10.1016/j.softx.2026.102514","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.softx.2026.102514","pdf_url":null,"source":{"id":"https://openalex.org/S2506067282","display_name":"SoftwareX","issn_l":"2352-7110","issn":["2352-7110"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SoftwareX","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1016/j.softx.2026.102514","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5123172232","display_name":"Federico Gatti","orcid":null},"institutions":[{"id":"https://openalex.org/I35440088","display_name":"ETH Zurich","ror":"https://ror.org/05a28rw58","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I35440088"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Federico Gatti","raw_affiliation_strings":["Seminar for Applied Mathematics (SAM), Department of Mathematics, ETH Z\u00fcrich, CH-8092 Z\u00fcrich, Switzerland"],"raw_orcid":"https://orcid.org/0000-0002-2318-4039","affiliations":[{"raw_affiliation_string":"Seminar for Applied Mathematics (SAM), Department of Mathematics, ETH Z\u00fcrich, CH-8092 Z\u00fcrich, Switzerland","institution_ids":["https://openalex.org/I35440088"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5123172232"],"corresponding_institution_ids":["https://openalex.org/I35440088"],"apc_list":{"value":500,"currency":"USD","value_usd":500},"apc_paid":{"value":500,"currency":"USD","value_usd":500},"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07394247,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"33","issue":null,"first_page":"102514","last_page":"102514"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13854","display_name":"Historical Geography and Cartography","score":0.4790000021457672,"subfield":{"id":"https://openalex.org/subfields/3305","display_name":"Geography, Planning and Development"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T13854","display_name":"Historical Geography and Cartography","score":0.4790000021457672,"subfield":{"id":"https://openalex.org/subfields/3305","display_name":"Geography, Planning and Development"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10466","display_name":"Meteorological Phenomena and Simulations","score":0.16380000114440918,"subfield":{"id":"https://openalex.org/subfields/1902","display_name":"Atmospheric Science"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.06509999930858612,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/polygon-mesh","display_name":"Polygon mesh","score":0.784500002861023},{"id":"https://openalex.org/keywords/python","display_name":"Python (programming language)","score":0.6757000088691711},{"id":"https://openalex.org/keywords/cartesian-coordinate-system","display_name":"Cartesian coordinate system","score":0.6080999970436096},{"id":"https://openalex.org/keywords/discretization","display_name":"Discretization","score":0.5896000266075134},{"id":"https://openalex.org/keywords/estimator","display_name":"Estimator","score":0.5001000165939331},{"id":"https://openalex.org/keywords/cube","display_name":"Cube (algebra)","score":0.45989999175071716},{"id":"https://openalex.org/keywords/software","display_name":"Software","score":0.4571000039577484},{"id":"https://openalex.org/keywords/terrain","display_name":"Terrain","score":0.4528000056743622},{"id":"https://openalex.org/keywords/rendering","display_name":"Rendering (computer graphics)","score":0.42399999499320984},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4146000146865845}],"concepts":[{"id":"https://openalex.org/C31487907","wikidata":"https://www.wikidata.org/wiki/Q1154597","display_name":"Polygon mesh","level":2,"score":0.784500002861023},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.691100001335144},{"id":"https://openalex.org/C519991488","wikidata":"https://www.wikidata.org/wiki/Q28865","display_name":"Python (programming language)","level":2,"score":0.6757000088691711},{"id":"https://openalex.org/C16038011","wikidata":"https://www.wikidata.org/wiki/Q62912","display_name":"Cartesian coordinate system","level":2,"score":0.6080999970436096},{"id":"https://openalex.org/C73000952","wikidata":"https://www.wikidata.org/wiki/Q17007827","display_name":"Discretization","level":2,"score":0.5896000266075134},{"id":"https://openalex.org/C459310","wikidata":"https://www.wikidata.org/wiki/Q117801","display_name":"Computational science","level":1,"score":0.5698999762535095},{"id":"https://openalex.org/C185429906","wikidata":"https://www.wikidata.org/wiki/Q1130160","display_name":"Estimator","level":2,"score":0.5001000165939331},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.48249998688697815},{"id":"https://openalex.org/C53051483","wikidata":"https://www.wikidata.org/wiki/Q861555","display_name":"Cube (algebra)","level":2,"score":0.45989999175071716},{"id":"https://openalex.org/C2777904410","wikidata":"https://www.wikidata.org/wiki/Q7397","display_name":"Software","level":2,"score":0.4571000039577484},{"id":"https://openalex.org/C161840515","wikidata":"https://www.wikidata.org/wiki/Q186131","display_name":"Terrain","level":2,"score":0.4528000056743622},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.4392000138759613},{"id":"https://openalex.org/C205711294","wikidata":"https://www.wikidata.org/wiki/Q176953","display_name":"Rendering (computer graphics)","level":2,"score":0.42399999499320984},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4146000146865845},{"id":"https://openalex.org/C170589453","wikidata":"https://www.wikidata.org/wiki/Q7940896","display_name":"Volume mesh","level":4,"score":0.39660000801086426},{"id":"https://openalex.org/C126990412","wikidata":"https://www.wikidata.org/wiki/Q203218","display_name":"Spherical coordinate system","level":2,"score":0.39570000767707825},{"id":"https://openalex.org/C181145010","wikidata":"https://www.wikidata.org/wiki/Q4418033","display_name":"Mesh generation","level":3,"score":0.39100000262260437},{"id":"https://openalex.org/C36464697","wikidata":"https://www.wikidata.org/wiki/Q451553","display_name":"Visualization","level":2,"score":0.3903000056743622},{"id":"https://openalex.org/C131053463","wikidata":"https://www.wikidata.org/wiki/Q4680751","display_name":"Adaptive mesh refinement","level":2,"score":0.383899986743927},{"id":"https://openalex.org/C42087268","wikidata":"https://www.wikidata.org/wiki/Q1886184","display_name":"Marching cubes","level":3,"score":0.38040000200271606},{"id":"https://openalex.org/C119001982","wikidata":"https://www.wikidata.org/wiki/Q866099","display_name":"Stereographic projection","level":2,"score":0.36660000681877136},{"id":"https://openalex.org/C181843262","wikidata":"https://www.wikidata.org/wiki/Q640492","display_name":"Digital elevation model","level":2,"score":0.3644999861717224},{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.3555999994277954},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.3479999899864197},{"id":"https://openalex.org/C9770341","wikidata":"https://www.wikidata.org/wiki/Q1938983","display_name":"Geospatial analysis","level":2,"score":0.33320000767707825},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.3095000088214874},{"id":"https://openalex.org/C43173174","wikidata":"https://www.wikidata.org/wiki/Q2646942","display_name":"Regular grid","level":3,"score":0.3005000054836273},{"id":"https://openalex.org/C45107383","wikidata":"https://www.wikidata.org/wiki/Q1311829","display_name":"Isosurface","level":3,"score":0.26759999990463257},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.26170000433921814},{"id":"https://openalex.org/C502989409","wikidata":"https://www.wikidata.org/wiki/Q11425","display_name":"Animation","level":2,"score":0.26109999418258667},{"id":"https://openalex.org/C4924752","wikidata":"https://www.wikidata.org/wiki/Q184148","display_name":"Plug-in","level":2,"score":0.2578999996185303},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2572999894618988},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.25519999861717224},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.2535000145435333}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/j.softx.2026.102514","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.softx.2026.102514","pdf_url":null,"source":{"id":"https://openalex.org/S2506067282","display_name":"SoftwareX","issn_l":"2352-7110","issn":["2352-7110"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SoftwareX","raw_type":"journal-article"},{"id":"pmh:doi:10.3929/ethz-c-000794179","is_oa":true,"landing_page_url":"http://hdl.handle.net/20.500.11850/794179","pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"},{"id":"pmh:oai:doaj.org/article:0bca458ed16a49508eebf2dffbab8661","is_oa":true,"landing_page_url":"https://doaj.org/article/0bca458ed16a49508eebf2dffbab8661","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SoftwareX, Vol 33, Iss , Pp 102514- (2026)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1016/j.softx.2026.102514","is_oa":true,"landing_page_url":"https://doi.org/10.1016/j.softx.2026.102514","pdf_url":null,"source":{"id":"https://openalex.org/S2506067282","display_name":"SoftwareX","issn_l":"2352-7110","issn":["2352-7110"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SoftwareX","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1975302688","https://openalex.org/W2076247888","https://openalex.org/W2112311198","https://openalex.org/W2146292423","https://openalex.org/W2159502524","https://openalex.org/W2168522485","https://openalex.org/W2169043969","https://openalex.org/W2177339763","https://openalex.org/W3003257820","https://openalex.org/W4390203479"],"related_works":[],"abstract_inverted_index":{"We":[0],"present":[1],"CUBE":[2,52,115],",":[3],"an":[4,29,63,67,119],"open-source":[5],"Python":[6,101],"framework":[7],"for":[8,93,103,127],"generating":[9],"adaptive,":[10],"non-singular":[11],"meshes":[12,126],"on":[13,66],"the":[14,33,46,57,70,75],"sphere":[15],"using":[16],"a":[17],"cubed-sphere":[18],"projection.":[19],"The":[20,87],"software":[21],"maps":[22],"spherical":[23],"slices":[24],"to":[25,37,62,122],"Cartesian":[26],"faces":[27],"of":[28,51,69,74],"inscribed":[30],"cube,":[31],"avoiding":[32],"pole":[34],"singularities":[35],"inherent":[36],"latitude\u2013longitude":[38],"grids":[39],"and":[40,91,105,129],"producing":[41],"quasi-uniform":[42],"element":[43],"sizes":[44],"across":[45],"globe.":[47],"A":[48],"core":[49],"feature":[50],"is":[53,59,116],"error-driven":[54],"spatial":[55],"adaptation:":[56],"mesh":[58],"refined":[60],"according":[61],"estimator":[64],"based":[65],"approximation":[68],"H":[71],"1":[72],"-seminorm":[73],"topography":[76],"discretization":[77],"error,":[78],"which":[79],"concentrates":[80],"resolution":[81],"where":[82],"terrain":[83],"gradients":[84],"are":[85],"large.":[86],"implementation":[88],"leverages":[89],"numpy":[90],"scipy":[92],"efficient":[94],"array":[95],"operations,":[96],"integrates":[97],"gmsh":[98],"via":[99],"its":[100],"API":[102],"meshing,":[104],"supports":[106],"standard":[107],"geospatial":[108],"input":[109,125],"(e.g.,":[110],"GTOPO30":[111],"digital":[112],"elevation":[113],"models).":[114],"intended":[117],"as":[118],"extensible":[120],"tool":[121],"produce":[123],"high-quality":[124],"atmospheric":[128],"geophysical":[130],"models,":[131],"improving":[132],"accuracy":[133],"while":[134],"reducing":[135],"computational":[136],"costs":[137],"through":[138],"targeted":[139],"refinement.":[140]},"counts_by_year":[],"updated_date":"2026-05-06T08:25:59.206177","created_date":"2026-01-17T00:00:00"}