ID 33812
file
title alternative
ナヴィエ・ストークス方程式のある風上型有限要素スキームとその領域分割型アルゴリズム
creator
Fujima, Shoichi
NDC
Mathematics
contents
General Introduction / p1
1 Mixed Finite Element Method for the Navier-Stokes Equations / p5
 1.1 Introduction / p5
 1.2 Variational principle and the finite element method / p6
 1.3 Standard mixed finite element method for the Navier-Stokes equations with iso-P2 P1/P1 elements / p10
 1.4 Consistent discretized pressure Poisson equation / p15
 1.5 Decomposition into sub-tetrahedra / p17
 1.6 Conclusion / p20
2 Upwind Finite Element Scheme Based on the Choice of Up-and Down-wind Points / p21
 2.1 Introduction / p21
 2.2 Upwind finite element approximation based on the choice of up-and down-wind points / p23
 2.3 Search algorithm for the upwind points / p27
 2.4 Finite element scheme based on the choice of up-and downwind points for the Navier-Stokes equations / p34
 2.5 Stability regions with respect to α and т / p35
 2.6 Numerical results / p40
 2.7 Conclusion / p57
3 Domain Decomposition Algorithm / p58
 3.1 Introduction / p58
 3.2 Two data types for data on the nodal points / p60
 3.3 Mortar element method / p66
 3.4 Domain decomposition algorithm for the upwind finite element scheme / p73
 3.5 Conclusion / p84
General Conclusion / p85
Bibliography / p88
SelfDOI
language
eng
nii type
Thesis or Dissertation
HU type
Doctoral Theses
DCMI type
text
format
application/pdf
text version
ETD
rights
Copyright(c) by Author
relation references
(1) Masahisa TABATA and Shoichi FUJIMA (田端正久, 藤間昌一), Finite-element analysis of high-Reynolds number flows past a circular cylinder (円柱を過ぎる高レイノルズ数流れの有限要素解析), Joumal of Computational and Applied Mathematics, Vol.38, pp.411-424, 1991.
(2) Shoichi FUJIMA, Masahisa TABATA and Yasuji FUKASAWA (藤間昌一, 田端正久, 深澤寧司), Extension to three-dimensional problems of the upwind finite element scheme based on the choice of up- and downwind points (風上風下点選択に基づく風上型有限要素スキームの3次元問題への拡張), Computer Methods in Applied Mechanics and Engineering, Vol.112, pp.109-131, 1994.
(3) Shoichi FUJIMA (藤間昌一), Implementation of a mortar element method for flow problems in the primitive variables (原始変数形の流れ問題へのモルタル要素法の実装), Intemational Journal of Computational Fluid Dynamics, Vol.9, pp.209-219, 1998.
relation references URL
http://dx.doi.org/10.1016/0377-0427(91)90186-N
http://dx.doi.org/10.1016/0045-7825(94)90021-3
http://dx.doi.org/10.1080/10618569808940853
grantid
乙第2946号
degreeGrantor
広島大学(Hiroshima University)
degreename Ja
博士(理学)
degreename En
Physical Science
degreelevel
doctoral
date of granted
1997-03-05
department
Graduate School of Science