A REPRODUCING KERNEL FORMULATION FOR MODELING SHOCKS

A REPRODUCING KERNEL FORMULATION FOR MODELING SHOCKS

Roth, Jason; Chen, JS; Slawson, Tom; Danielson, Kent

Full Article:

A reproducing kernel particle method formulation for modeling shocks formed by nonlinear hyperbolic partial differential equations is developed using a flux-based velocity correction technique. The technique is coupled with a spectral decomposition shock detection algorithm to isolate corrections to the jump location. For this class of model problems, the technique is shown to accurately capture the physically correct solution and minimize oscillatory error due to Gibbs phenomenon. The approach provides a basis for further investigation on the extension to the equation of motion and shock-forming solid dynamics problems.

A reproducing kernel particle method formulation for modeling shocks formed by nonlinear hyperbolic partial differential equations is developed using a flux-based velocity correction technique. The technique is coupled with a spectral decomposition shock detection algorithm to isolate corrections to the jump location. For this class of model problems, the technique is shown to accurately capture the physically correct solution and minimize oscillatory error due to Gibbs phenomenon. The approach provides a basis for further investigation on the extension to the equation of motion and shock-forming solid dynamics problems.

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DOI: 10.5151/meceng-wccm2012-18830

Referências bibliográficas

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Como citar:

Roth, Jason; Chen, JS; Slawson, Tom; Danielson, Kent; "A REPRODUCING KERNEL FORMULATION FOR MODELING SHOCKS", p-2362-2374. In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 23580828, DOI 10.5151/meceng-wccm2012-18830