An Efficient and Stable Spectral-element Method for Acoustic Scattering by an Obstacle

نویسندگان

  • JING AN
  • JIE SHEN
چکیده

A spectral-element method for solving the scattering problem of timeharmonic sound waves in a homogeneous compressible fluid by an obstacle is developed in this paper. The method is based on a boundary perturbation technique coupled with an efficient spectral-element solver. Ample numerical results are presented to show the accuracy and stability of the method.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Efficient Spectral-Element Methods For Acoustic Scattering And Related Problems

He, Ying Ph.D., Purdue University, December 2013. Efficient Spectral-Element Methods for Acoustic Scattering and Related Problems. Major Professor: Jie Shen . This dissertation focuses on the development of high-order numerical methods for acoustic and electromagnetic scattering problems, and nonlinear fluid-structure interaction problems. For the scattering problems, two cases are considered: ...

متن کامل

A stable, high-order method for three-dimensional, bounded-obstacle, acoustic scattering

An efficient and high-order algorithm for three-dimensional bounded obstacle scattering is developed. The method is a non-trivial extension of recent work of the authors for two-dimensional bounded obstacle scattering, and is based on a boundary perturbation technique coupled to a well-conditioned high-order spectral-Galerkin solver. This boundary perturbation approach is justified by rigorous ...

متن کامل

An Adaptive Finite Element Method for the Wave Scattering with Transparent Boundary Condition

Consider the acoustic wave scattering by an impenetrable obstacle in two dimensions. The model is formulated as a boundary value problem for the Helmholtz equation with a transparent boundary condition. Based on a duality argument technique, an a posteriori error estimate is derived for the finite element method with the truncated Dirichlet-to-Neumann boundary operator. The a posteriori error e...

متن کامل

Vibration and Stability of Axially Moving Plates by Standard and Spectral Finite Element Methods

Based on classical plate theory, standard and spectral finite element methods are extended for vibration and dynamic stability of axially moving thin plates subjected to in-plane forces. The formulation of the standard method earned through Hamilton’s principle is independent of element type. But for solving numerical examples, an isoparametric quadrilateral element is developed using Lagrange ...

متن کامل

Vibration and Stability of Axially Moving Plates by Standard and Spectral Finite Element Methods

Based on classical plate theory, standard and spectral finite element methods are extended for vibration and dynamic stability of axially moving thin plates subjected to in-plane forces. The formulation of the standard method earned through Hamilton’s principle is independent of element type. But for solving numerical examples, an isoparametric quadrilateral element is developed using Lagrange ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2013