On the identification of a rigid body immersed in a fluid: A numerical approach

被引:11
作者
Alvarez, Catalina [1 ]
Conca, Carlos [1 ,3 ]
Lecaros, Rodrigo [1 ]
Ortega, Jaime H. [1 ,2 ]
机构
[1] Univ Chile, Ctr Modelamiento Matemat, CNRS UChile, UMI 2807, Santiago, Chile
[2] Univ Bio Bio, Fac Ciencias, Dept Ciencias Basicas, Chillan, Chile
[3] Univ Chile, Dept Ingn Matemat, Fac Ciencias Fis & Matemat, Santiago, Chile
关键词
Inverse problems; Fluid mechanics; Shape differentiation; Numerical reconstruction;
D O I
10.1016/j.enganabound.2007.02.007
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
This work deals with the study of an inverse geometric problem in fluid mechanics. In particular, we are interested in the numerical reconstruction of a rigid body which is immersed in a cavity, filled with a fluid, by means of measurements of the Cauchy forces and the velocity of the fluid on one part of the exterior boundary. This problem was studied in [Alvarez C, Conca C, Friz L. Kavian L, Ortega JH. Identification of immersed obstacles via boundary measurements. Inverse Problems 2005; 21:1531-52], where the authors proved the identifiability and stability for this problem. In this work we present a numerical method for the reconstruction of the rigid body for some particular geometries. (c) 2008 Elsevier Ltd. All rights reserved.
引用
收藏
页码:919 / 925
页数:7
相关论文
共 8 条
[1]   Identification of immersed obstacles via boundary measurements [J].
Alvarez, C ;
Conca, C ;
Friz, L ;
Kavian, O ;
Ortega, JH .
INVERSE PROBLEMS, 2005, 21 (05) :1531-1552
[2]   Differentiability of the drag with respect to the variations of a Lipschitz domain in a Navier-Stokes flow [J].
Bello, JA ;
FernandezCara, E ;
Lemoine, J ;
Simon, J .
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1997, 35 (02) :626-640
[3]   On the identification of a single body immersed in a Navier-Stokes fluid [J].
Doubova, A. ;
Fernandez-Cara, E. ;
Ortega, J. H. .
EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2007, 18 :57-80
[4]   DETERMINING CONDUCTIVITY BY BOUNDARY MEASUREMENTS [J].
KOHN, R ;
VOGELIUS, M .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1984, 37 (03) :289-298
[5]  
Press W. H., 1997, NUMERICAL RECIPES C
[7]   A UNIQUENESS THEOREM FOR AN INVERSE BOUNDARY-VALUE PROBLEM IN ELECTRICAL PROSPECTION [J].
SYLVESTER, J ;
UHLMANN, G .
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1986, 39 (01) :91-112
[8]  
UHLMANN G, 1998, DOC MATH J, P1