• A Well-Balanced SPH-ALE Scheme for Shallow Water Applications 

      Prieto Arranz, Alberto; Ramírez, Luis; Couceiro, Iván; Colominas, Ignasi; Nogueira, Xesús (Springer, 2021)
      [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 ...
    • Numerical Analysis and Safety Design of Grounding Systems in Underground Compact Substations 

      Guizán Roca, Raquel; Colominas, Ignasi; París, José; Couceiro, Iván; Navarrina, Fermín (Elsevier, 2022)
      [Abstract] This paper presents a mathematical and numerical formulation to design and analyze grounding systems in underground electrical substations. The developed approach is based on the well known Maxwell’s Equations. ...
    • Krein’s theorem in the context of topological abelian groups 

      Borsich, Tayomara; Domínguez, Xabier; Martín Peinador, Elena (MDPI, 2022)
      [Abstract:] A topological abelian group G is said to have the quasi-convex compactness property (briefly, qcp) if the quasi-convex hull of every compact subset of G is again compact. In this paper we prove that there exist ...
    • Topological Groups of Lipschitz Functions and Graev Metrics 

      Chasco, MJ; Domínguez, Xabier; Tkachenko, Mikhail (Elsevier, 2022)
      [Abstract] We study the properties of the free abelian topological group Ad(X) on a metric space (X,d) endowed with the topology generated by the Graev extension dˆ of a given metric d on X. We find that the group of ...
    • An Arbitrary Lagrangian-Eulerian SPH-MLS Method for the Computation of Compressible Viscous Flows 

      Ramírez, Luis; Eirís, Antonio; Couceiro, Iván; París, José; Nogueira, Xesús (Elsevier, 2022)
      [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 ...
    • UCNS3D: An open-source high-order finite-volume unstructured CFD solver 

      Antoniadis, Antonis F.; Drikakis, Dimitris; Farmakis, Pericles S.; Fu, Lin; Kokkinakis, Ioannis; Nogueira, Xesús; Silva, Paulo A.S.F.; Skote, Martin; Titarev, Vladimir; Tsoutsanis, Panagiotis (Elsevier, 2022)
      [Abstract:] UCNS3D is an open-source computational solver for compressible flows on unstructured meshes. State-of-the-art high-order methods and their associated benefits can now be implemented for industrial-scale CFD ...
    • On the existence of topologies compatible with a group duality with predetermined properties 

      Borsich, Tayomara; Domínguez, Xabier; Martín Peinador, Elena (Elsevier, 2022)
      [Abstract:] The paper deals with group dualities. A group duality is simply a pair (G, H) where G is an abstract abelian group and H a subgroup of characters defined on G. A group topology τ defined on G is compatible with ...
    • Topology optimization of structures considering minimum weight and stress constraints by using the Overweight Approach 

      Villalba Rama, Diego; París, José; Couceiro, Iván; Colominas, Ignasi; Navarrina, Fermín (Elsevier, 2022)
      [Abstract:] In this paper, a new method for structural topology optimization considering minimum weight and local stress constraints is proposed. For this purpose, the Overweight Approach, an improvement of the so-called ...
    • A simple model for mixing intuition and analysis 

      Katsikopoulos, Konstantinos V.; Egozcue, Martin; Fuentes García, Luis (Elsevier, 2022)
      [Abstract:] Firefighters, emergency paramedics, and airplane pilots are able to make correct judgments and choices in challenging situations of scarce information and time pressure. Experts often attribute such successes ...
    • A short note on a 3D spectral analysis for turbulent flows on unstructured meshes 

      Tsoutsanis, Panagiotis; Nogueira, Xesús; Fu, Lin (Elsevier, 2023)
      [Abstract:] We propose two techniques for computing the energy spectra for 3D unstructured meshes that are consistent across different element types. These techniques can be particularly useful when assessing the dissipation ...
    • A new Mean Preserving Moving Least Squares method for Arbitrary Order Finite Volume schemes 

      Ramírez, Luis; Edreira Marzoa, Laura; Couceiro, Iván; Ouro, Pablo; Nogueira, Xesús; Colominas, Ignasi (Elsevier, 2023)
      [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 ...
    • Permutations, Signs, and Sum Ranges 

      Chobanyan, Sergei; Domínguez, Xabier; Tarieladze, Vaja; Vidal, Ricardo (MDPI, 2023)
      [Abstract:] The sum range SR[x; X], for a sequence x = (xn)n∈N of elements of a topological vector space X, is defined as the set of all elements s ∈ X for which there exists a bijection (=permutation) π : N → N, such that ...
    • MLS-SPH-ALE: A Review of Meshless-FV Methods and a Unifying Formulation for Particle Discretizations 

      Eirís, Antonio; Ramírez, Luis; Couceiro, Iván; Fernández-Fidalgo, Javier; París, José; Nogueira, Xesús (Springer, 2023)
      [Abstract:] Mesh-based and particle methods were conceived as two different discretization strategies to solve partial differential equations. In the last two decades computational methods have diversified and a myriad of ...
    • Optimization of Financial Indicators in Shale-Gas Wells Combining Numerical Decline Curve Analysis and Economic Data Analysis 

      Soage Quintáns, Manuel Andrés; Juanes, Rubén; Colominas, Ignasi; Cueto-Felgueroso Landeira, Luis (MDPI, 2024)
      [Abstract:] We present a methodology to determine optimal financial parameters in shale-gas production, combining numerical simulation of decline curves and stochastic modeling of the gas price. The mathematical model of ...