1994 年度実績報告書

非線形大型計算とその可視光

研究課題

研究課題/領域番号	04554001
研究機関	日本大学
研究代表者	中村正彰日本大学, 理工学部, 助教授 (00017419)
研究分担者	森本浩子明治大学, 理工学部, 教授 (50061974) 名取亮筑波大学, 電子情報系, 教授 (70013745) 渡辺二郎電気通信大学, 電気通信学部, 教授 (90011535) 河原田秀夫千葉大学, 工学部, 教授 (90010793) 藤田宏明治大学, 理工学部, 教授 (80011427)
キーワード	Navier-Stokes eg / 相分離 / Stefun Problem / Benard Problem / free bounday / fuzzy / friction type / 分岐
研究概要	我々「非線形大型計算とその可視化」班は研究計画に基き次のような成果を挙げることが出来た. 1.非線形系の応用解析 1.簡約化磁気ベナ-ル系のアトラクターの収束の解析(中村正彰,今井仁司) 2.粘性流体において境界での摩擦を考慮したモデルの考案と変分不等式による定式化(藤田宏,河原田秀夫) 3.Non vanishing outflow conditionをもつNavier-Stokes方程式の解析(森本浩子) 4.形状設計問題へのファジ-理論の導入したモデルの解析(河原田,名取亮,今井,花田) 5.渦有りの完全流体モデルの分岐の解析(岡本久,東海林まゆみ) 6.界面の発展方程式の解析(陳薀剛) 2.発展系に対する数値解析 1.簡約化磁気ベナ-ル系の数値シミュレーション(今井,中村) 2.fricition typeの境界条件付きNavier-Stokes方程式の数値計算(藤田,河原田) 3.渦ありの流れの解析(岡本,東海林) 4.界面の発展方程式の数値シミュレーション(陳) 5.堆積変化を考慮した凝固問題の数値解析(花田) 3.計算アルゴリズムの開発 1.代用電荷法のパッケージの作成(桂田裕史,岡本) 2.可視化アルゴリズムの開発(今井) 3.スペクトル選点法による非線形大型計算の高速化(今井) 4.対話型システムの開発(今井) 4.明治大学理工学部,北海道東海大学にCRT等を導入した.

研究成果

(38件)

すべてその他

すべて文献書誌 (38件)

[文献書誌] H.Imai,N.Ishimura,M.Nakamura: "Convergence of attractors for the simplified magnctic Benard eguthtions." European J of Applied Mathematics. (to appear).
[文献書誌] N.Ishimura-M.Nakamura: "On the simpliflcd nagrotic B′enard system" Advances in Mathematical Scienced and Applications. 3. 241-247 (1994)
[文献書誌] H.Okamoto: "A unizneness theorem for the unbad classiral solution of the nm stition ay Naer-Stobe esuations in R^3" J.Math.ltal.Appl.18123GE03:1994. 473-482
[文献書誌] M.Fukada,H.Imai H.Kawarada: "Numerical simulation of the plyug flow appearing in the Bingbam fluid" Advances in Mathematical Sciences and Applications. 4. 227-239 (1994)
[文献書誌] 周富東・今井仁司・名取亮: "自由表面を有する熱対流の数値シミュレーションと線型安定性解析" 日本応用数理学会論文誌. 4. 27-40 (1994)
[文献書誌] H.Morimoto: "Remcrsb on exact slutions to Navier-Stokas es unds some slip boundary condition" Memoirs of Inst.of Sci.and Tech.Meij.Univ.(to appear).
[文献書誌] H.Okamoto-M.Shoj.: "Remarks on the bifurcation of progressive waves of finite lepth" Publ.R.I.M.S.Kyoto Univ. 130. 611-640 (1994)
[文献書誌] 岡本久: "定常表面張力波について" ながれ. 13. 184-195 (1994)
[文献書誌] M.Shoji-H.Okamoto: "Seconvary and tertlary bifurcations of capillay gravity waves" Adv Math Sci.Appl.(to appear).
[文献書誌] S.Kizu,A.Nishiyama,J.Watanabe: "Couvergence of Solutions of nonlinau eigenvalue problens" Adv.Math.Sci.Appl. 3. 353-366 (1994)
[文献書誌] H.Imai.Y.Shinohara & T.Miyakoda: "Application of spectral collocation methods in space and time of free focadary problems" ((to appear))
[文献書誌] 今井仁司: "時間積分におけるスペクトル選点法の有効性について" 統計数理研究所共同リポート. 55. 185-190 (1994)
[文献書誌] Y.Nakama: "Exact Computational Proceire for Fluil Flau catl Fres Bouolary Corilitions" WCCM III. II. 3-20 (1994)
[文献書誌] 渡辺二郎: "変分問題における汎関数列の収束について" 篠原能材教授還暦記念論文集. (to appear).
[文献書誌] H.Morimoto: "Rcnarks on exact solution to the Navier-Stokes eguations under some slip loandary Condition" Memoirs of the 1,stitute of Science and Technology,Meiji Univ.(to appear).
[文献書誌] H.Okamoto: "Augcigueaess theorln.for the mtounded clccssilad sobdon of the xomstatiosry Naviev-Stokes egeations in R^3" J.Math.Anal.Appl.181. 473-482 (1994)
[文献書誌] H.Okamoto: "Avariatioal problem arising in the two dimensional Nabier-Stokes eguations with vanishing viscosity" Appl.Math.Lett.7. 29-33 (1994)
[文献書誌] M.Katsurada and H.Okamoto: "On the collacation points of the fundanental solation metled for the poten tial problem" Int.J.Comp.Math.Appl.(to appear).
[文献書誌] 花田孝郎・今井仁司: "凝固現象における数値解析" 京大・数理研講究録. 891. 64-69 (1995)
[文献書誌] 室屋泰三・花田・渡辺: "CTスキャナにおける再構成計算の誤差評価" 京大・数理研・講究録. 891. 205-217 (1995)
[文献書誌] 東海林まゆみ: "進行波解-渦あり流れと渦なし流れ" 京大・数理研・講究録. 891. 54-61 (1995)
[文献書誌] 陳・儀我美一・佐藤剛: "Solutions to a singular diffusion eguation" 京大・数理研・講究録. 891. 157-167 (1995)
[文献書誌] 桂田裕史: "代用電荷法のプログラム" 京大・数理研・講究録. 891. 196-204 (1995)
[文献書誌] H.Kawarada & H.Koshigoe: "The behavior of free surfaces appearing in frow problems" Ritman Research Notes in Mathematics Series. 282. 161-165 (1994)
[文献書誌] H.Okamoto and M.Shoji: "Two dimeusional,periodic,cahjelary sAUITY WAVES WITH NEGATIVE SURTUCETeusion" Proc.IUTAM Cont.Structure and Dynamics of Nunlieam Waves in Fluids. (to apper). (1994)
[文献書誌] H.OKamoto and M.Shoji: "Periodic progresjive ivater lvaves on 2D rotational/irrotational frow" Proc.of the Sctond Oapase.Seminar on Num,Matl.(to appear).
[文献書誌] M.Katsurada: "Charge simulation metlod usig eteriur mapping fumtions" Japan J.of Industrid and Applied Mutl.11. 47-61 (1994)
[文献書誌] U.Chen: "A stable ditteveuce scheme for computing motion of level surtace by.the mean caruature" Proc.of GARC,Pure and Appl.Math.1. 1-19 (1994)
[文献書誌] U.Chem,T.Sezuki & S.Nakane: "Elliptic eguations on two-dimensivul symmetric clomains" Local protile of mild salution. (to appear).
[文献書誌] H.Imai: "Application of the Fuzzy and Spectrsl Collocation Metlccds to a III-Posed Shapc Desisn Probles,with a free lutmdary" “Inverse Problems in Mechanics" The American Society of Mecl.Fng.186. 103-107 (1994)
[文献書誌] H.Kawarada,H.Imai.A.Sasamoto & R.Natori: "An application of Fuzzy Theory for an Ill-Posed Problem" Inverse Ploblems in Emgineering Mechrrics. 31-38
[文献書誌] 腰越秀之、河原田秀夫、笹本明: "Signorini型境界条件の超伝導現象への応用" 京大数理研解析研究所講究録. 891. 1-9 (1994)
[文献書誌] 河原田秀夫、藤田宏、川原仁: "Distribution theoretic aproach to fictitious domain metlcal tor Neumann prollems" 京大数理研解析研究所講究録. 891. 10-40 (1994)
[文献書誌] 高崙山,田宮聡士,河原田秀夫: "ファジィ平均の提案" 京大数理研解析研究所講究録. 891. 168-179 (1994)
[文献書誌] 田宮聡士,高崙山,河原田秀夫,宮武悟,北川孟: "精錬路における非定常信号問題の扱いについての一考察" 京大数理研解析研究所講究録. 891. 180-185 (1994)
[文献書誌] 竹沢照: "Fortran I 基礎" 共立出版, (1995)
[文献書誌] 藤井宏-岡本久: "非線型力学(岩波講座「応用数学」)" 岩波書店(印刷中),
[文献書誌] 陳薀剛-義我美-: "動く曲面を追いかけて" 日本評論社(印刷中),

1994 年度 実績報告書

非線形大型計算とその可視光

研究代表者

中村 正彰 日本大学, 理工学部, 助教授 (00017419)

研究成果

[文献書誌] H.Imai,N.Ishimura,M.Nakamura: "Convergence of attractors for the simplified magnctic Benard eguthtions." European J of Applied Mathematics. (to appear).

[文献書誌] N.Ishimura-M.Nakamura: "On the simpliflcd nagrotic B′enard system" Advances in Mathematical Scienced and Applications. 3. 241-247 (1994)

[文献書誌] H.Okamoto: "A unizneness theorem for the unbad classiral solution of the nm stition ay Naer-Stobe esuations in R^3" J.Math.ltal.Appl.18123GE03:1994. 473-482

[文献書誌] M.Fukada,H.Imai H.Kawarada: "Numerical simulation of the plyug flow appearing in the Bingbam fluid" Advances in Mathematical Sciences and Applications. 4. 227-239 (1994)

[文献書誌] 周富東・今井仁司・名取亮: "自由表面を有する熱対流の数値シミュレーションと線型安定性解析" 日本応用数理学会論文誌. 4. 27-40 (1994)

[文献書誌] H.Morimoto: "Remcrsb on exact slutions to Navier-Stokas es unds some slip boundary condition" Memoirs of Inst.of Sci.and Tech.Meij.Univ.(to appear).

[文献書誌] H.Okamoto-M.Shoj.: "Remarks on the bifurcation of progressive waves of finite lepth" Publ.R.I.M.S.Kyoto Univ. 130. 611-640 (1994)

[文献書誌] 岡本久: "定常表面張力波について" ながれ. 13. 184-195 (1994)

[文献書誌] M.Shoji-H.Okamoto: "Seconvary and tertlary bifurcations of capillay gravity waves" Adv Math Sci.Appl.(to appear).

[文献書誌] S.Kizu,A.Nishiyama,J.Watanabe: "Couvergence of Solutions of nonlinau eigenvalue problens" Adv.Math.Sci.Appl. 3. 353-366 (1994)

[文献書誌] H.Imai.Y.Shinohara & T.Miyakoda: "Application of spectral collocation methods in space and time of free focadary problems" ((to appear))

[文献書誌] 今井仁司: "時間積分におけるスペクトル選点法の有効性について" 統計数理研究所共同リポート. 55. 185-190 (1994)

[文献書誌] Y.Nakama: "Exact Computational Proceire for Fluil Flau catl Fres Bouolary Corilitions" WCCM III. II. 3-20 (1994)

[文献書誌] 渡辺二郎: "変分問題における汎関数列の収束について" 篠原能材教授還暦記念論文集. (to appear).

[文献書誌] H.Morimoto: "Rcnarks on exact solution to the Navier-Stokes eguations under some slip loandary Condition" Memoirs of the 1,stitute of Science and Technology,Meiji Univ.(to appear).

[文献書誌] H.Okamoto: "Augcigueaess theorln.for the mtounded clccssilad sobdon of the xomstatiosry Naviev-Stokes egeations in R^3" J.Math.Anal.Appl.181. 473-482 (1994)

[文献書誌] H.Okamoto: "Avariatioal problem arising in the two dimensional Nabier-Stokes eguations with vanishing viscosity" Appl.Math.Lett.7. 29-33 (1994)

[文献書誌] M.Katsurada and H.Okamoto: "On the collacation points of the fundanental solation metled for the poten tial problem" Int.J.Comp.Math.Appl.(to appear).

[文献書誌] 花田孝郎・今井仁司: "凝固現象における数値解析" 京大・数理研講究録. 891. 64-69 (1995)

[文献書誌] 室屋泰三・花田・渡辺: "CTスキャナにおける再構成計算の誤差評価" 京大・数理研・講究録. 891. 205-217 (1995)

[文献書誌] 東海林まゆみ: "進行波解-渦あり流れと渦なし流れ" 京大・数理研・講究録. 891. 54-61 (1995)

[文献書誌] 陳・儀我美一・佐藤剛: "Solutions to a singular diffusion eguation" 京大・数理研・講究録. 891. 157-167 (1995)

[文献書誌] 桂田裕史: "代用電荷法のプログラム" 京大・数理研・講究録. 891. 196-204 (1995)

[文献書誌] H.Kawarada & H.Koshigoe: "The behavior of free surfaces appearing in frow problems" Ritman Research Notes in Mathematics Series. 282. 161-165 (1994)

[文献書誌] H.Okamoto and M.Shoji: "Two dimeusional,periodic,cahjelary sAUITY WAVES WITH NEGATIVE SURTUCETeusion" Proc.IUTAM Cont.Structure and Dynamics of Nunlieam Waves in Fluids. (to apper). (1994)

[文献書誌] H.OKamoto and M.Shoji: "Periodic progresjive ivater lvaves on 2D rotational/irrotational frow" Proc.of the Sctond Oapase.Seminar on Num,Matl.(to appear).

[文献書誌] M.Katsurada: "Charge simulation metlod usig eteriur mapping fumtions" Japan J.of Industrid and Applied Mutl.11. 47-61 (1994)

[文献書誌] U.Chen: "A stable ditteveuce scheme for computing motion of level surtace by.the mean caruature" Proc.of GARC,Pure and Appl.Math.1. 1-19 (1994)

[文献書誌] U.Chem,T.Sezuki & S.Nakane: "Elliptic eguations on two-dimensivul symmetric clomains" Local protile of mild salution. (to appear).

[文献書誌] H.Imai: "Application of the Fuzzy and Spectrsl Collocation Metlccds to a III-Posed Shapc Desisn Probles,with a free lutmdary" “Inverse Problems in Mechanics" The American Society of Mecl.Fng.186. 103-107 (1994)

[文献書誌] H.Kawarada,H.Imai.A.Sasamoto & R.Natori: "An application of Fuzzy Theory for an Ill-Posed Problem" Inverse Ploblems in Emgineering Mechrrics. 31-38

[文献書誌] 腰越秀之、河原田秀夫、笹本明: "Signorini型境界条件の超伝導現象への応用" 京大数理研解析研究所講究録. 891. 1-9 (1994)

[文献書誌] 河原田秀夫、藤田宏、川原仁: "Distribution theoretic aproach to fictitious domain metlcal tor Neumann prollems" 京大数理研解析研究所講究録. 891. 10-40 (1994)

[文献書誌] 高崙山,田宮聡士,河原田秀夫: "ファジィ平均の提案" 京大数理研解析研究所講究録. 891. 168-179 (1994)

[文献書誌] 田宮聡士,高崙山,河原田秀夫,宮武悟,北川孟: "精錬路における非定常信号問題の扱いについての一考察" 京大数理研解析研究所講究録. 891. 180-185 (1994)

[文献書誌] 竹沢照: "Fortran I 基礎" 共立出版, (1995)

[文献書誌] 藤井宏-岡本久: "非線型力学(岩波講座「応用数学」)" 岩波書店(印刷中),

[文献書誌] 陳薀剛-義我美-: "動く曲面を追いかけて" 日本評論社(印刷中),

1994 年度実績報告書

中村正彰日本大学, 理工学部, 助教授 (00017419)