The Immersed Interface Method for Elasticity Problems with Interfaces

Abstract

An immersed interface method for solving linear elasticity problems with two phases separated by an interface has been developed in this paper. For the problem of interest, the underlying elasticity modulus is a constant in each phase but vary from phase to phase. The basic goal here is to design an efficient numerical method using a fixed Cartesian grid. The application of such a method to problems with moving interface driving by stresses has a great advantage: no re-meshing is needed. A local optimization strategy is employed to determine the finite difference equations at grid points near or on the interface. The bi-conjugate gradient method and the GMRES with preconditioning are both implemented to solve the resulting linear systems of equations and compared. Numerical results are presented to show that the method is second-order accurate.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2002
Accession Number
ADA453818

Entities

People

  • Bo Li
  • Li Zhilin
  • Yang Xingzhou

Organizations

  • North Carolina State University

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Computations
  • Difference Equations
  • Elastic Properties
  • Equations
  • Information Operations
  • Instructions
  • Linear Systems
  • Mathematical Analysis
  • Mathematics
  • North Carolina
  • Real Variables
  • Universities

Readers

  • Computational Fluid Dynamics (CFD)
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)