1 / 8

Suppression of spurious eigenvalues for spherical cavity eigenproblem using CHEEF method

This paper presents the CHEEF method for suppressing spurious eigenvalues in the eigenproblem of a spherical cavity. The method utilizes null-field boundary integral equation formulation.

Download Presentation

Suppression of spurious eigenvalues for spherical cavity eigenproblem using CHEEF method

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Suppression of spurious eigenvalues for spherical cavity eigenproblem using CHEEF method 陳正宗 陳義麟 李家瑋 1

  2. z y x CHEEF Point Problem statement • Governing equation • : Laplacian operator • : Domain of cavity • k : wave number 2

  3. Null-field BIE Where U(s,x) is the fundamental solution, U(s,x) satisfied the following equation Where is the Dirac delta function 3

  4. Eigenproblem For the Dirichlet B.C., u=0, The Neumann B.C., t=0. 4

  5. Degenerate kernel Where is the first kind n-th order spherical Bessel function, is the second kind n-th order spherical Bessel function. is the Legendre Polynomial function is the Neumann factor, ( , when m=0, , when m>0) 5

  6. Spherical harmonics of density function Where and are the undetermined coefficient. 6

  7. For the Dirichlet B.C. The orthogonality of Legendre Polynomial function 7

  8. The eigenequation is The true eigenequation is The spurious eigenequation is 8

More Related