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Volume 23, Issue 4
Lattice Boltzmann Method for Wave Propagation in Elastic Solids

J. Surya Narayana Murthy, Praveen Kumar Kolluru, Vishwanathan Kumaran & Santosh Ansumali

DOI: 10.4208/cicp.OA-2016-0259

Commun. Comput. Phys., 23 (2018), pp. 1223-1240.

Published online: 2018-04

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  • Abstract

We present a new lattice Boltzmann formulation for elastic solids and analyse the issue of conservation laws for solids. This new formulation allows tunable Poisson ratio. As a first benchmark problem, we consider an elastic wave propagating in an infinite homogeneous medium with point force and point dipole Ricker wavelet as the source. The method is successful in simulating behavior of elastic wave motion as a function of Poisson ratio.

  • Keywords

Lattice Boltzmann Method, elastic solids, Poisson ratio.

  • AMS Subject Headings

82C40

  • Copyright

COPYRIGHT: © Global Science Press

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  • TXT
@Article{CiCP-23-1223, author = {J. Surya Narayana Murthy, Praveen Kumar Kolluru, Vishwanathan Kumaran and Santosh Ansumali}, title = {Lattice Boltzmann Method for Wave Propagation in Elastic Solids}, journal = {Communications in Computational Physics}, year = {2018}, volume = {23}, number = {4}, pages = {1223--1240}, abstract = {

We present a new lattice Boltzmann formulation for elastic solids and analyse the issue of conservation laws for solids. This new formulation allows tunable Poisson ratio. As a first benchmark problem, we consider an elastic wave propagating in an infinite homogeneous medium with point force and point dipole Ricker wavelet as the source. The method is successful in simulating behavior of elastic wave motion as a function of Poisson ratio.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2016-0259}, url = {http://global-sci.org/intro/article_detail/cicp/11213.html} }
TY - JOUR T1 - Lattice Boltzmann Method for Wave Propagation in Elastic Solids AU - J. Surya Narayana Murthy, Praveen Kumar Kolluru, Vishwanathan Kumaran & Santosh Ansumali JO - Communications in Computational Physics VL - 4 SP - 1223 EP - 1240 PY - 2018 DA - 2018/04 SN - 23 DO - http://doi.org/10.4208/cicp.OA-2016-0259 UR - https://global-sci.org/intro/article_detail/cicp/11213.html KW - Lattice Boltzmann Method, elastic solids, Poisson ratio. AB -

We present a new lattice Boltzmann formulation for elastic solids and analyse the issue of conservation laws for solids. This new formulation allows tunable Poisson ratio. As a first benchmark problem, we consider an elastic wave propagating in an infinite homogeneous medium with point force and point dipole Ricker wavelet as the source. The method is successful in simulating behavior of elastic wave motion as a function of Poisson ratio.

J. Surya Narayana Murthy, Praveen Kumar Kolluru, Vishwanathan Kumaran and Santosh Ansumali. (2018). Lattice Boltzmann Method for Wave Propagation in Elastic Solids. Communications in Computational Physics. 23 (4). 1223-1240. doi:10.4208/cicp.OA-2016-0259
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