A new ADI-IIM scheme for solving two-dimensional wave equation with discontinuous coefficients

Abstract

A new alternating direction implicit immersed interface method (ADI-IIM) scheme was developed to solve the two-dimensional wave equation with discontinuous coefficients and sources. The alternating direction implicit (ADI) method was equipped with the immersed interface method (IIM) to recover the accuracy as well as maintaining the stability. Numerical experiments were carried out to verify the unconditional stability and the second-order accuracy both in time and space of the proposed scheme.

Keywords

• alternating direction implicit method
• immersed interface method
• discontinuous coefficients
• second-order accuracy
• unconditional stability