Papers

@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{prieto-arranz_well-balanced_2021,

title = {A Well-Balanced SPH-ALE Scheme for Shallow Water Applications},

author = {Alberto Prieto-Arranz and Luis Ramírez-Palacios and Iván Couceiro-Aguiar and Ignasi Colominas-Ezponda and Xesús Nogueira-Garea},

url = {https://doi.org/10.1007/s10915-021-01600-1},

doi = {10.1007/s10915-021-01600-1},

issn = {1573-7691},

year  = {2021},

date = {2021-08-01},

urldate = {2026-08-07},

journal = {Journal of Scientific Computing},

volume = {88},

number = {3},

pages = {84},

abstract = {In this work, a new discretization of the source term of the shallow water equations with non-flat bottom geometry is proposed to obtain a well-balanced scheme. A Smoothed Particle Hydrodynamics Arbitrary Lagrangian-Eulerian formulation based on Riemann solvers is presented to solve the SWE. Moving-Least Squares approximations are used to compute high-order reconstructions of the numerical fluxes and, stability is achieved using the a posteriori MOOD paradigm. Several benchmark 1D and 2D numerical problems are considered to test and validate the properties and behavior of the presented schemes.},

keywords = {moving least squares, shallow water equations, Smoothed Particle Hydrodynamics, SPH-ALE, Well-balanced methods},

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}

}

@article{krimi_smoothed_2018,

title = {Smoothed Particle Hydrodynamics: A consistent model for interfacial multiphase fluid flow simulations},

author = {Abdelkader Krimi and Mehdi Rezoug and Sofiane Khelladi and Xesús Nogueira-Garea and Michael Deligant and Luis Ramírez-Palacios},

url = {https://www.sciencedirect.com/science/article/pii/S0021999117308811},

doi = {10.1016/j.jcp.2017.12.006},

issn = {0021-9991},

year  = {2018},

date = {2018-04-01},

urldate = {2026-08-04},

journal = {Journal of Computational Physics},

volume = {358},

pages = {53–87},

abstract = {In this work, a consistent Smoothed Particle Hydrodynamics (SPH) model to deal with interfacial multiphase fluid flows simulation is proposed. A modification to the Continuum Stress Surface formulation (CSS) [1] to enhance the stability near the fluid interface is developed in the framework of the SPH method. A non-conservative first-order consistency operator is used to compute the divergence of stress surface tensor. This formulation benefits of all the advantages of the one proposed by Adami et al. [2] and, in addition, it can be applied to more than two phases fluid flow simulations. Moreover, the generalized wall boundary conditions [3] are modified in order to be well adapted to multiphase fluid flows with different density and viscosity. In order to allow the application of this technique to wall-bounded multiphase flows, a modification of generalized wall boundary conditions is presented here for using the SPH method. In this work we also present a particle redistribution strategy as an extension of the damping technique presented in [3] to smooth the initial transient phase of gravitational multiphase fluid flow simulations. Several computational tests are investigated to show the accuracy, convergence and applicability of the proposed SPH interfacial multiphase model.},

keywords = {High density and viscosity ratio, Interfacial fluid flow, Multiphase fluid flow, Smoothed Particle Hydrodynamics, Surface tension formulation},

pubstate = {published},

tppubtype = {article}

}