Ramírez, LuisEirís, AntonioCouceiro, IvánParís, JoséNogueira, Xesús2022-06-272022-06-272022Ramírez, L., Eirís, A., Couceiro, I., París, J., Nogueira, X. (2022). An arbitrary Lagrangian-Eulerian SPH-MLS method for the computation of compressible viscous flows. Journal of Computational Physics, 464, 111172. ISSN 0021-9991, https://doi.org/10.1016/j.jcp.2022.111172. (https://www.sciencedirect.com/science/article/pii/S0021999122002340)http://hdl.handle.net/2183/31005Financiado para publicación en acceso aberto: Universidade da Coruña/CISUG[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.engAtribución 4.0 Internacionalhttp://creativecommons.org/licenses/by/4.0/Navier-Stokes equationsMoving least squaresMeshless methodsCompressible viscous flowsSmoothed Particle Hydrodynamicsjournal articleopen access10.1016/j.jcp.2022.111172