Publicacións

@article{fernandez-fidalgo_very_2020,

title = {Very high-order method on immersed curved domains for finite difference schemes with regular Cartesian grids},

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

url = {https://www.sciencedirect.com/science/article/pii/S0045782519306747},

doi = {10.1016/j.cma.2019.112782},

issn = {0045-7825},

year  = {2020},

date = {2020-03-01},

urldate = {2026-08-06},

journal = {Computer Methods in Applied Mechanics and Engineering},

volume = {360},

pages = {112782},

abstract = {A new very high-order technique for solving conservation laws with curved boundary domains is proposed. A Finite Difference scheme on Cartesian grids is coupled with an original ghost cell method that provide accurate approximations for smooth solutions. The technology is based on a specific least square method with restrictions that enables to handle general Robin conditions. Several examples in two-dimensional geometries are presented for the unsteady Convection–Diffusion equation and the Euler equations. A fifth-order WENO scheme is employed with matching fifth-order reconstruction at the boundaries. Arbitrary high-order reconstruction for smooth flows is achievable independently of the underlying differential equation since the method works as a black-box dedicated to boundary condition treatment.},

keywords = {Cartesian grids, Compressible flows, Embedded boundary, Finite difference, High-order schemes, ROD},

pubstate = {published},

tppubtype = {article}

}