Results 1 
4 of
4
A lattice Boltzmann method for shock wave propagation in solids
"... This paper proposes a new lattice Boltzmann (LB) method for the study of shock wave propagation in elastic solids. The method, which implements a fluxcorrected transport (FCT) algorithm, contains three stages: collision, streaming, and correction. In the collision stage, distribution functions are ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
(Show Context)
This paper proposes a new lattice Boltzmann (LB) method for the study of shock wave propagation in elastic solids. The method, which implements a fluxcorrected transport (FCT) algorithm, contains three stages: collision, streaming, and correction. In the collision stage, distribution functions are updated. In the streaming stage, the distribution functions are shifted between lattice points. Generally, a partial differential equation (PDE) is solved in the streaming stage, and finite element methods are employed to support the use of unstructured meshes in the LB method. The FCT algorithm is used in the correction stage to revise the distribution functions at lattice points, so fluctuations behind shock wave fronts can be eliminated efficiently. In this method, schemes for shock wave reflection at fixed and free boundaries are developed based on the bounceback technique. A similar technique is used to treat wave reflection and transmission at material interfaces of composites. Several onedimensional examples show that this LBFCT method can provide ideal depictions of shock wave propagation in structures, especially composite structures.
FOR ANY AND ALL DAMAGES RESULTING FROM THE USE OF,
, 2013
"... This report was prepared by Baojun Bai as an account of work sponsored by ..."
Abstract
 Add to MetaCart
(Show Context)
This report was prepared by Baojun Bai as an account of work sponsored by