{"created":"2023-06-20T15:08:05.786036+00:00","id":37483,"links":{},"metadata":{"_buckets":{"deposit":"238963c5-177c-4b68-8e39-688613b92306"},"_deposit":{"created_by":1,"id":"37483","owners":[1],"pid":{"revision_id":0,"type":"depid","value":"37483"},"status":"published"},"_oai":{"id":"oai:jaxa.repo.nii.ac.jp:00037483","sets":["1887:1891","1896:1898:1913:1915"]},"author_link":["481034","481033","481029","481032","481031","481030"],"item_5_alternative_title_1":{"attribute_name":"その他のタイトル","attribute_value_mlt":[{"subitem_alternative_title":"非線形移流方程式のためのハイブリッド陽的-陰的高解像度法"}]},"item_5_biblio_info_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"1999-12","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"321","bibliographicPageStart":"315","bibliographicVolumeNumber":"44","bibliographic_titles":[{"bibliographic_title":"航空宇宙技術研究所特別資料"},{"bibliographic_title":"Special Publication of National Aerospace Laboratory","bibliographic_titleLang":"en"}]}]},"item_5_description_14":{"attribute_name":"会議概要（会議名, 開催地, 会期, 主催者等）","attribute_value_mlt":[{"subitem_description":"航空宇宙技術研究所 16-18 Jun. 1999 東京 日本","subitem_description_type":"Other"}]},"item_5_description_15":{"attribute_name":"会議概要（会議名, 開催地, 会期, 主催者等）（英）","attribute_value_mlt":[{"subitem_description":"National Aerospace Laboratory 16-18 Jun. 1999 Tokyo Japan","subitem_description_type":"Other"}]},"item_5_description_16":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"CCG(Collins-Collela-Glaz)スキームと呼ばれるハイブリッド陽的-陰的高解像度法が1次元双曲型保存則のために、Collins、CollelaおよびGlazにより提案された。陰的解法スキームを陽的2次精度時間進行スキームと適当に混合することにより、この方法は、すべてのクーラン数に対してMND(最大ノルム低減)特性を持つようにつくられている。このCCGスキームは線形方程式では証明されているが、非線形方程式に対してはこの性質を無条件に維持する様になっていない。それゆえ、その時間ステップに付加的なCFL(Courant-Friedrichs-Lewy)類似の条件が必要となる。本稿では、このCCGスキームの欠点を修復する方法を示し、非線形移流方程式にたいしてMNDハイブリッドスキームを無条件に設計するための新しい一般的なアプローチを提案する。数値実験をバーガース方程式の高度に不均一な格子上での計算にたいして実施した。これらの計算の結果により、提案したハイブリッドスキームは通常の陰的スキームや2次精度陽的スキームに比べて、精度と効率においてある一定の優位さをもつことを示した。","subitem_description_type":"Abstract"}]},"item_5_description_17":{"attribute_name":"抄録（英）","attribute_value_mlt":[{"subitem_description":"A hybrid explicit/implicit numerical scheme referred to as the CCG(Collins,Collela and Glaz) scheme was recently proposed by Collins, Collela, and Glaz for one-dimensional hyperbolic conservation laws. By suitable blending of an explicit second-order time marching scheme with an implicit scheme, this approach was made to posses the Max Norm Diminishing (MND) property for all Courant numbers. Having been manifested for linear equations, the CCG scheme, however, fails to maintain this property unconditionally for non-linear equations, so that it requires an additional CFL (Courant-Friedrichs-Lewy)-like restriction on the time step. In this paper it is shown how to remedy the shortcoming of the CCG scheme, and also proposed a new general approach to design unconditionally MND hybrid schemes for non-linear advection equations. Numerical experiments are carried out for calculating the Burgers equation on a highly non-uniform grid. Results of these calculations exhibit a certain advantage in accuracy and efficiency of the proposed hybrid scheme compared with both the conventional implicit and the second-order explicit schemes.","subitem_description_type":"Other"}]},"item_5_description_32":{"attribute_name":"資料番号","attribute_value_mlt":[{"subitem_description":"資料番号: AA0001961050","subitem_description_type":"Other"}]},"item_5_description_33":{"attribute_name":"レポート番号","attribute_value_mlt":[{"subitem_description":"レポート番号: NAL SP-44","subitem_description_type":"Other"}]},"item_5_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"航空宇宙技術研究所"}]},"item_5_publisher_9":{"attribute_name":"出版者（英）","attribute_value_mlt":[{"subitem_publisher":"National Aerospace Laboratory (NAL)"}]},"item_5_source_id_21":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0289-260X","subitem_source_identifier_type":"ISSN"}]},"item_5_source_id_24":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN10097345","subitem_source_identifier_type":"NCID"}]},"item_5_text_6":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"名古屋大学 工学部　航空宇宙工学科"},{"subitem_text_value":"名古屋大学 工学部　航空宇宙工学科"},{"subitem_text_value":"名古屋大学 工学部　航空宇宙工学科"}]},"item_5_text_7":{"attribute_name":"著者所属（英）","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"Nagoya University Department of Aerospace Engineering, Faculty of Engineering"},{"subitem_text_language":"en","subitem_text_value":"Nagoya University Department of Aerospace Engineering, Faculty of Engineering"},{"subitem_text_language":"en","subitem_text_value":"Nagoya University Department of Aerospace Engineering, Faculty of Engineering"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Men'shov, Igor"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"金子, 宗嗣"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"中村, 佳朗"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Men'shov, Igor","creatorNameLang":"en"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Kaneko, Munetsugu","creatorNameLang":"en"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Nakamura, Yoshiaki","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2020-02-10"}],"displaytype":"detail","filename":"nalsp0044050.pdf","filesize":[{"value":"568.2 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"nalsp0044050.pdf","url":"https://jaxa.repo.nii.ac.jp/record/37483/files/nalsp0044050.pdf"},"version_id":"c0163d82-cbce-426e-8266-5204cbd8c20f"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"ハイブリッド陽的・陰的高解像度法","subitem_subject_scheme":"Other"},{"subitem_subject":"非線形移流方程式","subitem_subject_scheme":"Other"},{"subitem_subject":"双曲型保存則","subitem_subject_scheme":"Other"},{"subitem_subject":"CCGスキーム","subitem_subject_scheme":"Other"},{"subitem_subject":"Collins-Collela-Glazスキーム","subitem_subject_scheme":"Other"},{"subitem_subject":"陽的2次精度時間進行スキーム","subitem_subject_scheme":"Other"},{"subitem_subject":"クーラン数","subitem_subject_scheme":"Other"},{"subitem_subject":"MND 複合スキーム","subitem_subject_scheme":"Other"},{"subitem_subject":"最大ノルム低減ハイブリッドスキーム","subitem_subject_scheme":"Other"},{"subitem_subject":"CFL類似条件","subitem_subject_scheme":"Other"},{"subitem_subject":"Courant-Friedrichs-Lewy 類似条件","subitem_subject_scheme":"Other"},{"subitem_subject":"非線形方程式","subitem_subject_scheme":"Other"},{"subitem_subject":"バーガース方程式","subitem_subject_scheme":"Other"},{"subitem_subject":"hybrid explicit implicit high resolution method","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"non linear advection equation","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"hyperbolic conservation law","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"CCG scheme","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Collins Collela Graz scheme","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"explicit second order time marching scheme","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Courant number","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"MND hybrid scheme","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"max norm diminishing hybrid scheme","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"CFL like restriction","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Courant Friedrichs Lewy like restriction","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"non linear equation","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"Burgers equation","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"conference paper","resourceuri":"http://purl.org/coar/resource_type/c_5794"}]},"item_title":"A hybrid explicit-implicit high-resolution method for non-linear advection equation","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"A hybrid explicit-implicit high-resolution method for non-linear advection equation","subitem_title_language":"en"}]},"item_type_id":"5","owner":"1","path":["1891","1915"],"pubdate":{"attribute_name":"公開日","attribute_value":"2015-03-26"},"publish_date":"2015-03-26","publish_status":"0","recid":"37483","relation_version_is_last":true,"title":["A hybrid explicit-implicit high-resolution method for non-linear advection equation"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2023-06-20T21:17:50.081922+00:00"}