Research on modeling, simulation and visualization of nonlinear problems

1991 Fiscal Year Final Research Report Summary

• Project/Area Number: 02640162
• Research Category: Grant-in-Aid for General Scientific Research (C)
• Allocation Type: Single-year Grants
• Research Field: General mathematics (including Probability theory/Statistical mathematics)
• Research Institution: Chiba University, Faculty of Engineering
• Principal Investigator: ONO Harumi Chiba Univ. Eng. Lec., 工学部, 講師 (70194595)
• Co-Investigator(Kenkyū-buntansha): KOSHIGOE Hideyuki Chiba Univ. Eng. Ass., 工学部, 助手 (70110294) ; SAWAGURI Toshio Chiba Univ. Eng. Lec., 工学部, 講師 (50009271) ; HOSHI Mamoru Chiba Univ. Eng. Ass. Prof., 工学部, 助教授 (80125955) ; KAWARADA Hideo Chiba Univ. Eng. Prof., 工学部, 教授 (90010793) ; TODA Hideo Chiba Univ. Eng. Prof., 工学部, 教授 (10143257)
• Project Period (FY): 1990 – 1991
• Keywords: Runge-Kutta / Numerical analysis / Fast automatic differentiation / Free boundary / Plasma / Stefan / Boundary layer / Fluid

Research Abstract

This project has obtained many excellent results, main topics of which are the followings.
1. Development of algorithm and programming for computation.
2. Development of, a method for finding bifurcation points in plasma and analysis for the behavior of free surface in the fluid.
3. Modeling for Stefan problem with change of volume.

Research Products

• [Publications] H.Ono and H.Toda: "An addendum to the previous paper "Runge-Kutta seventh-order limiting formula (1989)"" J.Inf.Proc.14(2). 204-207 (1991)
  • Description: 「研究成果報告書概要(和文)」より
• [Publications] H.Kawarada and H.Koshigoe: "The unsteady flow in the porous media with a free surface" Japan J.Ind.Appl.Math.8(1). 41-82 (1991)
  • Description: 「研究成果報告書概要(和文)」より
• [Publications] H.Imai and H.Kawarada: "A method for finding bifurcation points" Control and Cybernetics. 20(1). 7-19 (1991)
  • Description: 「研究成果報告書概要(和文)」より
• [Publications] T.Hanada,H.Imai,H.Kawarada and M.Natori: "Numerical computations for solidification problems with change of volume" Bull.Greek Math.Soc.31. 24-49 (1990)
  • Description: 「研究成果報告書概要(和文)」より
• [Publications] H.Kawarada,H.Koshigoe and A.Sasamoto: "The behavior of free surface appearing in the flow through the porous media" Adv.Math.Sci and Appl.
  • Description: 「研究成果報告書概要(和文)」より
• [Publications] H. Ono and H. Toda: "An addendum to the previous paper "Runge-Kutta seventh-order limiting formula (1989)"" J. Inf. Proc.14, no. 2. 204-207 (1991)
  • Description: 「研究成果報告書概要(欧文)」より
• [Publications] H. Kawarada and H. Koshigoe: "The unsteady flow in the porous media with a free surface" Japan J. and Appl. Math.8, no. 1. 41-82 (1991)
  • Description: 「研究成果報告書概要(欧文)」より
• [Publications] H. Imai and H. Kawarada: "A method for finding bifurcation points" Control and Cybernetics. 20(1). 7-19 (1991)
  • Description: 「研究成果報告書概要(欧文)」より
• [Publications] T. Hanada, H. Imai, H. Kawarada and M. Natori: "Numerical computations for solidification problems with change of volume" Bull. Greek Math. Soc.31. 24-49 (1990)
  • Description: 「研究成果報告書概要(欧文)」より
• [Publications] H. Kawarada, H. Kosihoe and A. Sasamoto: "The behavior of free surface appearing in the flow through the porous media" Adv. Math. Sci. and Appl.
  • Description: 「研究成果報告書概要(欧文)」より