Numerical treatment of two-dimensional interfaces for acoustic and elastic waves
Journal of Computational Physics
Journal of Computational Physics
Modeling 1-D elastic P-waves in a fractured rock with hyperbolic jump conditions
Journal of Computational and Applied Mathematics
Matched interface and boundary (MIB) method for elliptic problems with sharp-edged interfaces
Journal of Computational Physics
Three-dimensional matched interface and boundary (MIB) method for treating geometric singularities
Journal of Computational Physics
MIB method for elliptic equations with multi-material interfaces
Journal of Computational Physics
Hi-index | 0.03 |
The spring-mass conditions are an efficient way to model imperfect contacts between elastic media. These conditions link together the limit values of the elastic stress and of the elastic displacement on both sides of interfaces. To insert these spring-mass conditions in classical finite-difference schemes, we use an interface method, the explicit simplified interface method (ESIM). This insertion is automatic for a wide class of schemes. The interfaces do not need to coincide with the uniform Cartesian grid. The local truncation error analysis and numerical experiments show that the ESIM maintains, with interfaces, properties of the schemes in homogeneous medium.