Numerical and mathematical analysis to low-dimensional solutions in. mathematical fluid problems
Grant-in-Aid for Scientific Research (B)
HIROSHIMA UNIVERSITY;Kyushu University
Tatuyuki NAKAKI
From 01 Apr. 2003, To 31 Mar. 2006, Project Closed
渦糸、渦点;渦輪、渦管;1、2流体問題;緩和振動;不安定性;弱非線形安定性;位相カオス;フラックスフリー有限要素法;渦糸の緩和振動;球面上の渦糸;渦輪の非線形不安定性;らせん渦;理想MHDの数値解析法;移動・自由境界問題;フラックス・フリー有限要素法;ベクトル化;渦輪の局所安定性解析;質量保存型有限要素法;数値的検証法;アダプティブメッシュ;正射影付有限要素方程式, point vortex;vortex ring, vortex tube;one- or two-phase fluid problems;relaxation oscillation;instability;weakly nonlinear stability;topological chaos;flux-free finite element method