Publicacións

@article{ramirez_arbitrary_2022,

title = {An arbitrary Lagrangian-Eulerian SPH-MLS method for the computation of compressible viscous flows},

author = {Luis Ramírez-Palacios and Antonio Eirís and Iván Couceiro-Aguiar and José París-López and Xesús Nogueira-Garea},

url = {https://www.sciencedirect.com/science/article/pii/S0021999122002340},

doi = {10.1016/j.jcp.2022.111172},

issn = {0021-9991},

year  = {2022},

date = {2022-09-01},

urldate = {2026-08-07},

journal = {Journal of Computational Physics},

volume = {464},

pages = {111172},

abstract = {In this work we present a high-accurate discretization to solve the compressible Navier-Stokes equations using an Arbitrary Lagrangian-Eulerian meshless method (SPH-MLS), which can be seen as a general formulation that includes some well-known meshfree methods as a particular case. The formulation is based on the use of Moving Least Squares (MLS) approximants as weight functions on a Galerkin formulation and to accurate discretize the convective and viscous fluxes. This formulation also verifies the discrete partition of unity and reproduces the zero-gradient condition for constant functions. Convective fluxes are discretized using Riemann solvers. In order to obtain high accuracy MLS is also used for the high-order reconstruction of the Riemann states. The accuracy and performance of the proposed method is demonstrated by solving different steady and unsteady benchmark problems.},

keywords = {Compressible viscous flows, Meshless methods, moving least squares, Navier-Stokes equations, Smoothed Particle Hydrodynamics},

pubstate = {published},

tppubtype = {article}

}

@article{eiris_sph-ale_2021,

title = {SPH-ALE Scheme for Weakly Compressible Viscous Flow with a Posteriori Stabilization},

author = {Antonio Eirís and Luis Ramírez-Palacios and Javier Fernández-Fidalgo and Iván Couceiro-Aguiar and Xesús Nogueira-Garea},

url = {https://www.mdpi.com/2073-4441/13/3/245},

doi = {10.3390/w13030245},

issn = {2073-4441},

year  = {2021},

date = {2021-01-01},

urldate = {2026-08-07},

journal = {Water},

volume = {13},

number = {3},

pages = {245},

publisher = {Multidisciplinary Digital Publishing Institute},

abstract = {A highly accurate SPH method with a new stabilization paradigm has been introduced by the authors in a recent paper aimed to solve Euler equations for ideal gases. We present here the extension of the method to viscous incompressible flow. Incompressibility is tackled assuming a weakly compressible approach. The method adopts the SPH-ALE framework and improves accuracy by taking high-order variable reconstruction of the Riemann states at the midpoints between interacting particles. The moving least squares technique is used to estimate the derivatives required for the Taylor approximations for convective fluxes, and also provides the derivatives needed to discretize the viscous flux terms. Stability is preserved by implementing the a posteriori Multi-dimensional Optimal Order Detection (MOOD) method procedure thus avoiding the utilization of any slope/flux limiter or artificial viscosity. The capabilities of the method are illustrated by solving one- and two-dimensional Riemann problems and benchmark cases. The proposed methodology shows improvements in accuracy in the Riemann problems and does not require any parameter calibration. In addition, the method is extended to the solution of viscous flow and results are validated with the analytical Taylor–Green, Couette and Poiseuille flows, and lid-driven cavity test cases.},

keywords = {High-order methods, Meshless methods, moving least squares, Multi-dimensional Optimal Order Detection, Smoothed Particle Hydrodynamics, weakly compressible},

pubstate = {published},

tppubtype = {article}

}

@article{ramirez_very_2018,

title = {A very accurate Arbitrary Lagrangian–Eulerian meshless method for Computational Aeroacoustics},

author = {Luis Ramírez-Palacios and Xesús Nogueira-Garea and Sofiane Khelladi and Abdelkader Krimi and Ignasi Colominas-Ezponda},

url = {https://www.sciencedirect.com/science/article/pii/S0045782518303694},

doi = {10.1016/j.cma.2018.07.036},

issn = {0045-7825},

year  = {2018},

date = {2018-12-01},

urldate = {2026-08-04},

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

volume = {342},

pages = {116–141},

abstract = {In this work, we propose a new meshless approach based on a Galerkin discretization of a set of conservation equations on an Arbitrary Lagrangian–Eulerian framework. In particular, we solve the Linearized Euler Equations, using Moving Least Squares as weight functions in the Galerkin discretization. Riemann solvers are introduced in the formulation for the discretization of the convective fluxes. Differently from a purely Lagrangian approach, as it is usual in SPH, the present method is able to work in both Eulerian and Lagrangian configurations, which allows using all the advantages of the Lagrangian approaches in the context of Computational Aeroacoustics.},

keywords = {Computational aeroacoustics, Meshless methods, moving least squares, Smoothed Particle Hydrodynamics},

pubstate = {published},

tppubtype = {article}

}