Title of article :
Numerical modeling of transient two-dimensional viscoelastic waves
Author/Authors :
Lombard، نويسنده , , Bruno and Piraux، نويسنده , , Joël، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2011
Pages :
16
From page :
6099
To page :
6114
Abstract :
This paper deals with the numerical modeling of transient mechanical waves in linear viscoelastic solids. Dissipation mechanisms are described using the generalized Zener model. No time convolutions are required thanks to the introduction of memory variables that satisfy local-in-time differential equations. By appropriately choosing the relaxation parameters, it is possible to accurately describe a large range of materials, such as solids with constant quality factors. The evolution equations satisfied by the velocity, the stress, and the memory variables are written in the form of a first-order system of PDEs with a source term. This system is solved by splitting it into two parts: the propagative part is discretized explicitly, using a fourth-order ADER scheme on a Cartesian grid, and the diffusive part is then solved exactly. Jump conditions along the interfaces are discretized by applying an immersed interface method. Numerical experiments of wave propagation in viscoelastic and fluid media show the efficiency of this numerical modeling for dealing with challenging problems, such as multiple scattering configurations.
Keywords :
Memory variables , Generalized Zener model , ADER schemes , Cartesian grid methods , Immersed interface method , Wave propagation
Journal title :
Journal of Computational Physics
Serial Year :
2011
Journal title :
Journal of Computational Physics
Record number :
1483558
Link To Document :
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