DG solver for the simulation of simplified elastic waves in two-dimensional piecewise homogeneous media

Title:

DG solver for the simulation of simplified elastic waves in two-dimensional piecewise homogeneous media

Creator:

Hozman, J., Bradáč, J., and Kovanda, J.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:0793f8c5-8c0a-42dd-a566-b54ad844402e
uuid:0793f8c5-8c0a-42dd-a566-b54ad844402e
doi:10.14311/NNW.2017.27.021

Subject:

elastic wave equation, piecewise homogeneous medium, discontinuous Galerkin method, interface conditions, implicit Euler method, and limiting

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The theory of elasticity is a very important discipline which has a lot of applications in science and engineering. In this paper we are interested in elastic materials with different properties between interfaces implicated the discontinuous coefficients in the governing elasticity equations. The main aim is to develop a practical numerical scheme for modeling the behaviour of a simplified piecewise homogeneous medium subjected to an external action in 2D domains. Therefore, the discontinuous Galerkin method is used for the simulation of elastic waves in such elastic materials. The special attention is also paid to treatment of boundary and interface conditions. For the treatment of the time dependency the implicit Euler method is employed. Moreover, the limiting procedure is incorporated in the resulting numerical scheme in order to overcome nonphysical spurious overshoots and undershoots in the vicinity of discontinuities in discrete solutions. Finally, we present computational results for two-component material, representing a planar elastic body subjected to a mechanical hit or mechanical loading.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Source:

Neural network world: international journal on neural and mass-parallel computing and information systems | 2017 Volume:27 | Number:4

Harvested from:

CDK

Metadata only:

false