Two-Dimensional Compact Third-Order Polynomial Reconstructions. Solving Nonconservative Hyperbolic Systems Using GPUs. Gallardo, J., Ortega-Acosta, S., de la Asunción, M., & Mantas-Ruiz, J. Journal of Scientific Computing, 48(1):141-163, 2011.
Paper abstract bibtex We present a new kind of high-order reconstruction operator of polynomial type, which is used in combination with the scheme presented in Castro et al. (J. Sci. Comput. 39:67–114, 2009 ) for solving nonconservative hyperbolic systems. The implementation of the scheme is carried out on Graphics Processing Units (GPUs), thus achieving a substantial improvement of the speedup with respect to normal CPUs. As an application, the two-dimensional shallow water equations with geometrical source term due to the bottom slope is considered.
@Article{Gallardo2011,
author = {Gallardo, Jos{\'e}-M. and Ortega-Acosta, Sergio and de la Asunci{\'o}n, Marc and Mantas-Ruiz, Jos{\'e}-Miguel},
journal = {Journal of Scientific Computing},
title = {{T}wo-{D}imensional {C}ompact {T}hird-{O}rder {P}olynomial {R}econstructions. {S}olving {N}onconservative {H}yperbolic {S}ystems {U}sing {GPU}s},
year = {2011},
number = {1},
pages = {141-163},
volume = {48},
abstract = {We present a new kind of high-order reconstruction operator of polynomial type, which is used in combination with the scheme presented in Castro et al. (J. Sci. Comput. 39:67–114, 2009 ) for solving nonconservative hyperbolic systems. The implementation of the scheme is carried out on Graphics Processing Units (GPUs), thus achieving a substantial improvement of the speedup with respect to normal CPUs. As an application, the two-dimensional shallow water equations with geometrical source term due to the bottom slope is considered.},
url = {http://dx.doi.org/10.1007/s10915-011-9470-x},
}
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