2002 Fiscal Year Annual Research Report

領域分割法による数値シミュレーション手法の開発とその数学的検証

Research Project

Project/Area Number	13555021
Research Institution	Nihon University
Principal Investigator	中村正彰日本大学, 理工学部, 教授 (00017419)
Co-Investigator(Kenkyū-buntansha)	田端正久九州大学, 数理学研究院, 教授 (30093272) 池田勉竜谷大学, 理工学部, 教授 (50151296) 今井仁司徳島大学, 工学部, 教授 (80203298) 張紹良東京大学, 大学院・工学系研究科, 助教授 (20252273) 森正武東京電機大学, 工学部, 教授 (20010936)
Keywords	numerical simulation / large scale computation / iterative method / Navier -Stokes equation / domain decomposition / precondition / spinodal decomposition / infinnite precision
Research Abstract	本年度の研究計画に基づき研究を実施し,次のような成果を得た. ・数値シミュレーションの新手法のための計算法開発ベクトル化手法の構成に依る計算の高速化に成功した高速高精度計算手法の開発と応用。大型計算の前処理法の解析数値積分法の解析・以下の非線形間題の数学的および数値解的解析に成功した. 相分離系を記述する江口・沖松村方程式の1次元定常解の構造を解析した。逆問題への高精度計算法の応用。燃焼合成反応におけるヘリカル波の出現の解析。密度依存Navier-Stokes方程式の解析。・有限要素法,差分法を用いた各種流体間題の解析に成果をあげた. 特性法による慣性項の近似の解析各種風車の数値シミュレーション

Research Products
(27 results)

All Other

All Publications (27 results)

[Publications] T.Hanada, N.Ishimura, M.Nakamura: "Numerical analysis of Eguchi-Oki-Matsumura equations II"the proceedings of the fifth China-Japan joint-seminar on numerical mathematics. Science Press. 38-46 (2002)
[Publications] 花田孝郎, 石村直之, 中村正彰: "江口・沖・松村方程式の解の構造"京都大学数理解析研究所講究録. 1288. 11-18 (2002)
[Publications] T.Hanada, H.Imai, N.Ishimura, M.Nakamura: "Eguchi-Oki-Matsumura equations for phase separation : Numerically guided approach"the proceedings of international conference on inverse problems. (to appear). (2003)
[Publications] T.TAKEUCHI, H.IMAI: "Domain Decomposition Method and Infinite-Precision Numerical Simulation,"京都大学数理解析研究所講究録. 1288. 102-107 (2002)
[Publications] T.Matsuo, M.Sugihara, D.Furihata, M.Mori: "Spatially accurate dissipative or conservative schemes derived by the discrete varia-tional mathod,"Japan J. Industr. Appi. Math.. 19. 311-330 (2002)
[Publications] H.Rui, M.Tabata.: "A second order characteristic finite element scheme for convection-diffusion problems"Numerische Mathematik. 92. 161-177 (2002)
[Publications] S.Fujima, K.Ohrnoii: "Finite element analysis using a regularized Heaviside function for interfacial transport phenomena"Proceedings of Computational Engineering Conference. 7. 757-758 (2002)
[Publications] S.Fujima, K.Ohmori: "Benchmark problems for numerical schemes to passively transported interface"Computational Fluid Dynamics Journal. (to appear). (2003)
[Publications] S.-L.Zhang, K.Nakata: "Generalized conjugate residual method for solving large and dense linear systems in semidefinite programming"Proceedings of the Fifth China-Japan Seminar on Numerical Mathematics (Science Press). 234-241 (2002)
[Publications] T.Kawamura, Y.Sato, A.Shinohara, M.Kan: "Numerical Study of the Flow and Dynamics around a Cross-Flow Turbine"Theoretical and Applied Mechanics. 51. 231-240 (2002)
[Publications] T.Kawamura, Y.Sato, M.Kan: "Numerical Study of the Flow around the High-Torque Wind Turbine of Vertical Axis Type"Proc.2nd Int. Conf. Comput. Fluid Dynamics (ICCFD2). (to appear). (2003)
[Publications] S.Kaneko, T.Kawamura: "Numerical Study of the Flow around Two Yawed and Parallel Circular Cylinders"Theoretical and Applied Mechanics. 51. 199-205 (2002)
[Publications] S.Kaneko, T.Kawamura: "Numerical Study of the Flow around Two Yawed and Parallel Circular Cylinders"Theoretical and Applied Mechanics. 51. 199-205 (2002)
[Publications] T.Kawamura, K.Ootsuki, T.Hayashi: "Numerical Study of the Flow around the Cross Flow Turbine of Many Blades Type with Accessories for Improvement of its Performance"Proc. World Wind Energy Conf.. (to appear). (2003)
[Publications] S.-L.Zhang, K.Nakata, M.Kojima: "Incomplete orthogonalization preconditioners for solving large and dense linear systems which arise from Semidefinite Programming"Applied Numerical Mathematics. 41. 235-245 (2002)
[Publications] Z.-Z.Bai, S.-L.Zhang: "A regularized conjugate gradient method for symmetric positive definite system of linear equations"Journal of Computational Mathematics. 20-4. 437-448 (2002)
[Publications] S.-L.Zhang: "A class of product-type Krylov-subspace methods for solving nonsymmetric linear systems"Journal of Computational and Applied Mathematics. 149-1. 297-305 (2002)
[Publications] S.Itoh, S.-L.Zhang, Y.Oy-anagi, M.Natori: "Effect on spectral properties by the splitting correction preconditiofling for linear systems that arise from periodic boundary problemsi"Enabling Society with Information Technology (eds. Q. Jin et al.) (Springer). 234-243 (2002)
[Publications] C.-H., Jin, S-L.Zhang, H.Imai: "A CGS-like method for solving nonsymmetric linear systems"Proceedings of the Fifth China-Japan Seminar on Numerical Math-ematics (Science Press). 147-153 (2002)
[Publications] H.Kawarada, H.Suito: Proceedings of the Fifth China-Japan Seminar on Numerical Math-ematics (Science Press). (2002)
[Publications] 水藤寛, 河原田秀夫, et al.: "脳脊髄液流動解析における数値シミュレーション"京都大学数理解析研究所講究録. 1288. 81-85 (2002)
[Publications] 井原茂男: "バイオインフォーマティクスにおける非線形間題"京都大学数理解析研究所講究録. 1288. 20-29 (2002)
[Publications] 渡辺浩田太, 五十嵐一, 本間利久: "電時解析におけるマルチグリッド法の有限要素法への適用について"京都大学数理解析研究所講究録. 1288. 115-121 (2002)
[Publications] 安田英典: "ナノテクノロジーの数理"京都大学数理解析研究所講究録. 1288. 136-144 (2002)
[Publications] 河村哲也, 佐藤祐子: "Numerical simulation of the flow around a cross-flow wind turbine"京都大学数理解析研究所講究録. 1288. 44-51 (2002)
[Publications] Tasuku Tanaka: "Integration of Chandrasekhar' integral equation"Journal of Quantitative Spectroscopy & Radiative Transfer. 76. 121-144 (2003)
[Publications] T.Tanaka, Menghua Wang: "Solution of Radiative Transfer In Anisotropic Plane-Parallel Atmosphere"Journal of Quantitative Spectroscopy & Radiative Transfer. (to appeare). (2003)

2002 Fiscal Year Annual Research Report

領域分割法による数値シミュレーション手法の開発とその数学的検証

Principal Investigator

中村 正彰 日本大学, 理工学部, 教授 (00017419)

Research Products

[Publications] T.Hanada, N.Ishimura, M.Nakamura: "Numerical analysis of Eguchi-Oki-Matsumura equations II"the proceedings of the fifth China-Japan joint-seminar on numerical mathematics. Science Press. 38-46 (2002)

[Publications] 花田孝郎, 石村直之, 中村正彰: "江口・沖・松村方程式の解の構造"京都大学数理解析研究所講究録. 1288. 11-18 (2002)

[Publications] T.Hanada, H.Imai, N.Ishimura, M.Nakamura: "Eguchi-Oki-Matsumura equations for phase separation : Numerically guided approach"the proceedings of international conference on inverse problems. (to appear). (2003)

[Publications] T.TAKEUCHI, H.IMAI: "Domain Decomposition Method and Infinite-Precision Numerical Simulation,"京都大学数理解析研究所講究録. 1288. 102-107 (2002)

[Publications] T.Matsuo, M.Sugihara, D.Furihata, M.Mori: "Spatially accurate dissipative or conservative schemes derived by the discrete varia-tional mathod,"Japan J. Industr. Appi. Math.. 19. 311-330 (2002)

[Publications] H.Rui, M.Tabata.: "A second order characteristic finite element scheme for convection-diffusion problems"Numerische Mathematik. 92. 161-177 (2002)

[Publications] S.Fujima, K.Ohrnoii: "Finite element analysis using a regularized Heaviside function for interfacial transport phenomena"Proceedings of Computational Engineering Conference. 7. 757-758 (2002)

[Publications] S.Fujima, K.Ohmori: "Benchmark problems for numerical schemes to passively transported interface"Computational Fluid Dynamics Journal. (to appear). (2003)

[Publications] S.-L.Zhang, K.Nakata: "Generalized conjugate residual method for solving large and dense linear systems in semidefinite programming"Proceedings of the Fifth China-Japan Seminar on Numerical Mathematics (Science Press). 234-241 (2002)

[Publications] T.Kawamura, Y.Sato, A.Shinohara, M.Kan: "Numerical Study of the Flow and Dynamics around a Cross-Flow Turbine"Theoretical and Applied Mechanics. 51. 231-240 (2002)

[Publications] T.Kawamura, Y.Sato, M.Kan: "Numerical Study of the Flow around the High-Torque Wind Turbine of Vertical Axis Type"Proc.2nd Int. Conf. Comput. Fluid Dynamics (ICCFD2). (to appear). (2003)

[Publications] S.Kaneko, T.Kawamura: "Numerical Study of the Flow around Two Yawed and Parallel Circular Cylinders"Theoretical and Applied Mechanics. 51. 199-205 (2002)

[Publications] S.Kaneko, T.Kawamura: "Numerical Study of the Flow around Two Yawed and Parallel Circular Cylinders"Theoretical and Applied Mechanics. 51. 199-205 (2002)

[Publications] T.Kawamura, K.Ootsuki, T.Hayashi: "Numerical Study of the Flow around the Cross Flow Turbine of Many Blades Type with Accessories for Improvement of its Performance"Proc. World Wind Energy Conf.. (to appear). (2003)

[Publications] S.-L.Zhang, K.Nakata, M.Kojima: "Incomplete orthogonalization preconditioners for solving large and dense linear systems which arise from Semidefinite Programming"Applied Numerical Mathematics. 41. 235-245 (2002)

[Publications] Z.-Z.Bai, S.-L.Zhang: "A regularized conjugate gradient method for symmetric positive definite system of linear equations"Journal of Computational Mathematics. 20-4. 437-448 (2002)

[Publications] S.-L.Zhang: "A class of product-type Krylov-subspace methods for solving nonsymmetric linear systems"Journal of Computational and Applied Mathematics. 149-1. 297-305 (2002)

[Publications] S.Itoh, S.-L.Zhang, Y.Oy-anagi, M.Natori: "Effect on spectral properties by the splitting correction preconditiofling for linear systems that arise from periodic boundary problemsi"Enabling Society with Information Technology (eds. Q. Jin et al.) (Springer). 234-243 (2002)

[Publications] C.-H., Jin, S-L.Zhang, H.Imai: "A CGS-like method for solving nonsymmetric linear systems"Proceedings of the Fifth China-Japan Seminar on Numerical Math-ematics (Science Press). 147-153 (2002)

[Publications] H.Kawarada, H.Suito: Proceedings of the Fifth China-Japan Seminar on Numerical Math-ematics (Science Press). (2002)

[Publications] 水藤寛, 河原田秀夫, et al.: "脳脊髄液流動解析における数値シミュレーション"京都大学数理解析研究所講究録. 1288. 81-85 (2002)

[Publications] 井原茂男: "バイオインフォーマティクスにおける非線形間題"京都大学数理解析研究所講究録. 1288. 20-29 (2002)

[Publications] 渡辺浩田太, 五十嵐一, 本間利久: "電時解析におけるマルチグリッド法の有限要素法への適用について"京都大学数理解析研究所講究録. 1288. 115-121 (2002)

[Publications] 安田英典: "ナノテクノロジーの数理"京都大学数理解析研究所講究録. 1288. 136-144 (2002)

[Publications] 河村哲也, 佐藤祐子: "Numerical simulation of the flow around a cross-flow wind turbine"京都大学数理解析研究所講究録. 1288. 44-51 (2002)

[Publications] Tasuku Tanaka: "Integration of Chandrasekhar' integral equation"Journal of Quantitative Spectroscopy & Radiative Transfer. 76. 121-144 (2003)

[Publications] T.Tanaka, Menghua Wang: "Solution of Radiative Transfer In Anisotropic Plane-Parallel Atmosphere"Journal of Quantitative Spectroscopy & Radiative Transfer. (to appeare). (2003)

中村正彰日本大学, 理工学部, 教授 (00017419)