Publicacións

@article{ramirez_very_2025,

title = {A very fast high-order flux reconstruction for Finite Volume schemes for Computational Aeroacoustics},

author = {Luis Ramírez-Palacios and Javier Fernández-Fidalgo and José París-López and Michael Deligant and Sofiane Khelladi and Xesús Nogueira-Garea},

url = {https://doi.org/10.1007/s00366-024-02039-2},

doi = {10.1007/s00366-024-02039-2},

issn = {1435-5663},

year  = {2025},

date = {2025-02-01},

urldate = {2026-04-28},

journal = {Engineering with Computers},

volume = {41},

number = {1},

pages = {667–680},

abstract = {Given the small wavelengths and wide range of frequencies of the acoustic waves involved in Aeroacoustics problems, the use of very accurate, low-dissipative numerical schemes is the only valid option to accurately capture these phenomena. However, as the order of the scheme increases, the computational time also increases. In this work, we propose a new high-order flux reconstruction in the framework of finite volume (FV) schemes for linear problems. In particular, it is applied to solve the Linearized Euler Equations, which are widely used in the field of Computational Aeroacoustics. This new reconstruction is very efficient and well suited in the context of very high-order FV schemes, where the computation of high-order flux integrals are needed at cell edges/faces. Different benchmark test cases are carried out to analyze the accuracy and the efficiency of the proposed flux reconstruction. The proposed methodology preserves the accuracy while the computational time relatively reduces drastically as the order increases.},

keywords = {Computational aeroacoustics, Finite volume, High-order methods, Mean preserving moving least squares},

pubstate = {published},

tppubtype = {article}

}

@article{ramirez_new_2023,

title = {A new Mean Preserving Moving Least Squares method for Arbitrary Order Finite Volume schemes},

author = {Luis Ramírez-Palacios and Laura Edreira-Marzoa and Iván Couceiro-Aguiar and Pablo Ouro and Xesús Nogueira-Garea and Ignasi Colominas-Ezponda},

url = {https://www.sciencedirect.com/science/article/pii/S0096300322008360},

doi = {10.1016/j.amc.2022.127768},

issn = {0096-3003},

year  = {2023},

date = {2023-04-01},

urldate = {2026-08-07},

journal = {Applied Mathematics and Computation},

volume = {443},

pages = {127768},

abstract = {In this paper we propose a new arbitrary-order Finite Volume method for the numerical solution of the Euler and Navier-Stokes equations on unstructured grids. Arbitrary order is achieved using a modified Moving Least Squares reconstruction, which preserves the mean values of the conservative variables. Hence, the proposed scheme changes the traditional error functional of the MLS reconstruction in order to compare the cell-averaged values. Several benchmark problems are used to assess the proposed scheme’s accuracy and performance, to show that arbitrary order of convergence can be achieved. Furthermore, the proposed method is applied to the numerical solution of the Navier-Stokes equations and its ability to simulate turbulent flows is verified.},

keywords = {Compressible flows, Finite volume, Mean Preserving, moving least squares, Very high-order methods},

pubstate = {published},

tppubtype = {article}

}

@article{martinez_high-order_2020,

title = {A high-order finite volume method with improved isotherms reconstruction for the computation of multiphase flows using the Navier–Stokes–Korteweg equations},

author = {Abel Martínez and Luis Ramírez-Palacios and Xesús Nogueira-Garea and Sofiane Khelladi and Fermín Navarrina-Martínez},

url = {https://www.sciencedirect.com/science/article/pii/S0898122119303736},

doi = {10.1016/j.camwa.2019.07.021},

issn = {0898-1221},

year  = {2020},

date = {2020-02-01},

urldate = {2026-08-06},

journal = {Computers & Mathematics with Applications},

volume = {79},

number = {3},

pages = {673–696},

abstract = {In this work we solve the Navier–Stokes–Korteweg (NSK) equations to simulate a two-phase fluid with phase change. We use these equations on a diffuse interface approach, where the properties of the fluid vary continuously across the interface that separates the different phases. The model is able to describe the behavior of both phases with the same set of equations, and it is also able to handle problems with great changes in the topology of the problem. However, high-order derivatives are present in NSK equations, which is a difficulty for the design of a numerical method to solve the problem. Here, we propose the use of a high-order Finite Volume method with Moving Least Squares approximations to handle high-order derivatives and solve the NSK equations. Moreover, a new methodology to obtain accurate equations of state is presented. In this method, we use any accurate equation of state for the pure phases. Under the saturation curve, a B-spline reconstruction fulfilling a given set of thermodynamic criteria is performed. The new EOS can be used for computations using diffuse interface modeling. Several numerical examples to show the accuracy of the new approach are presented.},

keywords = {Diffuse interface, Finite volume, High-order methods, moving least squares, Phase transition},

pubstate = {published},

tppubtype = {article}

}

@article{garcia-feal_accelerated_2018,

title = {An Accelerated Tool for Flood Modelling Based on Iber},

author = {Orlando García-Feal and José González-Cao and Moncho Gómez-Gesteira and Luis Cea-Gómez and José Manuel Domínguez and Arno Formella},

url = {https://www.mdpi.com/2073-4441/10/10/1459},

doi = {10.3390/w10101459},

issn = {2073-4441},

year  = {2018},

date = {2018-10-01},

urldate = {2026-08-04},

journal = {Water},

volume = {10},

number = {10},

pages = {1459},

publisher = {Multidisciplinary Digital Publishing Institute},

abstract = {This paper presents Iber+, a new parallel code based on the numerical model Iber for two-dimensional (2D) flood inundation modelling. The new implementation, which is coded in C++ and takes advantage of the parallelization functionalities both on CPUs (central processing units) and GPUs (graphics processing units), was validated using different benchmark cases and compared, in terms of numerical output and computational efficiency, with other well-known hydraulic software packages. Depending on the complexity of the specific test case, the new parallel implementation can achieve speedups up to two orders of magnitude when compared with the standard version. The speedup is especially remarkable for the GPU parallelization that uses Nvidia CUDA (compute unified device architecture). The efficiency is as good as the one provided by some of the most popular hydraulic models. We also present the application of Iber+ to model an extreme flash flood that took place in the Spanish Pyrenees in October 2012. The new implementation was used to simulate 24 h of real time in roughly eight minutes of computing time, while the standard version needed more than 15 h. This huge improvement in computational efficiency opens up the possibility of using the code for real-time forecasting of flood events in early-warning systems, in order to help decision making under hazardous events that need a fast intervention to deploy countermeasures.},

keywords = {Benchmark, CUDA, Finite volume, flood, Iber+, numerical simulation, OpenMP, shallow water equations},

pubstate = {published},

tppubtype = {article}

}