Papers

@article{fernandez-fidalgo_reduced-dissipation_2021,

title = {A reduced-dissipation WENO scheme with automatic dissipation adjustment},

author = {Javier Fernández-Fidalgo and Luis Ramírez-Palacios and Panagiotis Tsoutsanis and Ignasi Colominas-Ezponda and Xesús Nogueira-Garea},

url = {https://www.sciencedirect.com/science/article/pii/S0021999120305234},

doi = {10.1016/j.jcp.2020.109749},

issn = {0021-9991},

year  = {2021},

date = {2021-01-01},

urldate = {2026-08-06},

journal = {Journal of Computational Physics},

volume = {425},

pages = {109749},

abstract = {In this paper, we propose a novel modification to the WENO-family schemes to reduce its intrinsic dissipation. In this work, we focus on the WENO5 scheme, which is rewritten in terms of a central plus a dissipative part, and then, the dissipation is controlled based on the flow physics. This is achieved by using the automatic dissipation adjustment (ADA) method in an a posteriori approach. This methodology allows us to greatly increase the accuracy of the original scheme at the same time ensure the robustness of the numerical method. The accuracy and robustness of the proposed scheme are tested by several selected numerical benchmarks.},

keywords = {Adaptive dissipation, Compressible flows, High-order schemes, WENO},

pubstate = {published},

tppubtype = {article}

}

@article{krimi_improved_2020,

title = {Improved δ-SPH Scheme with Automatic and Adaptive Numerical Dissipation},

author = {Abdelkader Krimi and Luis Ramírez-Palacios and Sofiane Khelladi and Fermín Navarrina-Martínez and Michael Deligant and Xesús Nogueira-Garea},

url = {https://www.mdpi.com/2073-4441/12/10/2858},

doi = {10.3390/w12102858},

issn = {2073-4441},

year  = {2020},

date = {2020-10-01},

urldate = {2026-08-06},

journal = {Water},

volume = {12},

number = {10},

pages = {2858},

publisher = {Multidisciplinary Digital Publishing Institute},

abstract = {In this work we present a δ-Smoothed Particle Hydrodynamics (SPH) scheme for weakly compressible flows with automatic adaptive numerical dissipation. The resulting scheme is a meshless self-adaptive method, in which the introduced artificial dissipation is designed to increase the dissipation in zones where the flow is under-resolved by the numerical scheme, and to decrease it where dissipation is not required. The accuracy and robustness of the proposed methodology is tested by solving several numerical examples. Using the proposed scheme, we are able to recover the theoretical decay of kinetic energy, even where the flow is under-resolved in very coarse particle discretizations. Moreover, compared with the original δ-SPH scheme, the proposed method reduces the number of problem-dependent parameters.},

keywords = {Adaptive dissipation, smoothing particle hydrodynamics, weakly compressible flows},

pubstate = {published},

tppubtype = {article}

}