An iterative method for the shape reconstruction of the inverse Euler problem

Authors

  • Wenjing Yan,

    Corresponding author
    1. Department of Mathematics Computing, School of Science, Xi'an Jiaotong University, Xi'an, Shaanxi, Peoples's Republic of China, 710049
    • Department of Mathematics Computing, School of Science, Xi'an Jiaotong University, Xi'an, Shaanxi, Peoples's Republic of China, 710049
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  • Yaling He,

    1. Department of Thermal Engineering, School of Energy and Power Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi, Peoples's Republic of China, 710049
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  • Yichen Ma

    1. Department of Mathematics Computing, School of Science, Xi'an Jiaotong University, Xi'an, Shaanxi, Peoples's Republic of China, 710049
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Abstract

This article is concerned with the shape reconstruction for the inviscid fluid governed by the Euler equations. By formulating the domain derivative of the Euler equations and applying a regularized Gauss-Newton iterative algorithm, the numerical examples are given for recovering the shape. The results show that our theory is useful for practical purpose and the proposed algorithm is feasible. © 2011 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 28: 587–596, 2012

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