JAIST Repository: CIP法を用いた管内流れにおける流体と弾性壁面の相互作用の解析
3
0
0
全文
(2) Analysis of interaction between uid and elastic wall in pipe ow using CIP method Matsuzawa Takashi School of Information Science, Japan Advanced Institute of Science and Technology February 15, 2001. Keywords:. CIP method, moving boundary,interaction.. Many of phenomena of the ow which exist near ourselves are the ow which have the moving boundary. There are exmple that ow seen in river and sea area, two layers ow between oil and water,and ow of the air of transformed the structure surroundings. Today numerical uid analysis is being done to this movement boundary ploblem by various technique. Eulerrian method and Lagrangian method are used as a solver of the motion equation of uid. The grid system is
(3) xed to grid point in the sapce as for Eulerrian method, the other hand side, the grid system moves in Lagrangian method according to the moving grid points. In general, Lagrangian method is used for moving boundary problem. Because Lagrangian method can set the girid which
(4) ts the boundary of uid and solid, the de
(5) nition of a free surface is easy. However, re-griding of each time step is needed when the grid system is de
(6) ned by Lagrangian method, and there are ploblem of the extream transformation of the mesh etc. Eulerrian method have the advantage to treating easy because of the
(7) x mesh to grid point. But it is deÆcult to express the boundary of uid and solid accuracy good, and the device is necessary to express the boundary. The advection term is calculated in equation of motion When the boundary of uid and solid is pursued, the decrease in accuracy because of numerical di usion is caused. The CIP method proposed by Yabe is technique. The CIP technique is a method of sloving the advection equation by using a
(8) xed grid in accuracy good. Furuta analyzed the ow of pipe with moving wall using the CIP. Araki developed parallel implementation base domain decomposition for pipe ow with movig wall using the CIP method on the parallel computer. This research aims to analyze the interaction between uid and elastic wall by using CIP. The calculation modele assumed the axis symmetry model. The calculation is. Copyright c 2001 by Matsuzawa Takashi. 1.
(9) transformed from two dimension cartesian coordinates into a cylinder axis coordinates, and has been enhanced from 2 dimension to semi-2 dimension. A preliminary experiment analyzed the ow with concave part in pipe ow. The calculation result of the axis symmetry model is veri
(10) ed. The second experiment analyzed the wall vibrating model pipe ow. The in uence of the ow by the moving wall was examined. The main experiment analyzed the interaction of uid and elasticity wall. The calculation model is a shell model. The amount of transformation is calculated from the pressure di erence. The transformation speed is divied the amount of the transformation by delta t. The calculation result was obtained in the case with very small amount of the transfomation. However, a steady calculation result was not obtained with the case with very large amount of the transformation. The following results were achived in this reserch. 1. When the amount of the transformation was very small, the interaction of the uid and the elasticity wall was able to be analyzed. 2. The device which can be analyzed for large amount of the transformation is necessary.. 2.
(11)
関連したドキュメント
We also describe applications of this theorem in the study of the distribution of the signs in elliptic nets and generating elliptic nets using the denominators of the
In the second computation, we use a fine equidistant grid within the isotropic borehole region and an optimal grid coarsening in the x direction in the outer, anisotropic,
Using meshes defined by the nodal hierarchy, an edge based multigrid hierarchy is developed, which includes inter-grid transfer operators, coarse grid discretizations, and coarse
Keywords: continuous time random walk, Brownian motion, collision time, skew Young tableaux, tandem queue.. AMS 2000 Subject Classification: Primary:
In Section 13, we discuss flagged Schur polynomials, vexillary and dominant permutations, and give a simple formula for the polynomials D w , for 312-avoiding permutations.. In
Analogs of this theorem were proved by Roitberg for nonregular elliptic boundary- value problems and for general elliptic systems of differential equations, the mod- ified scale of
Then it follows immediately from a suitable version of “Hensel’s Lemma” [cf., e.g., the argument of [4], Lemma 2.1] that S may be obtained, as the notation suggests, as the m A
Correspondingly, the limiting sequence of metric spaces has a surpris- ingly simple description as a collection of random real trees (given below) in which certain pairs of
