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Topological Groups of Lipschitz Functions and Graev Metrics
(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 ...
A new Mean Preserving Moving Least Squares method for Arbitrary Order Finite Volume schemes
(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 ...
High order shape design sensitivity: an unified approach
(Centro Internacional de Métodos Numéricos en Ingeniería, 1998)
[Abstract] Three basic analytical approaches have been proposed for the calculation
of sensitivity derivatives in shape optimization problems. The first approach is based
on differentiation of the discretized equations. ...
Modelización numérica de problemas de potenciales transferidos por redes de tierra mediante el método de los elementos de contorno
(2004)
[Resumen] El análisis y diseño de tomas de tierra en subestaciones eléctricas requiere el cálculo de la distribución de los niveles de potencial sobre la superficie del terreno y la resistencia equivalente de la red de ...
High Order Shape Design Sensitivity: A Unified Approach
(Elsevier, 2000)
[Abstract] Three basic analytical approaches have been proposed for the calculation of sen-
sitivity derivatives in shape optimization problems. The first approach is based on
differentiation of the discretized equations ...
An Arbitrary Lagrangian-Eulerian SPH-MLS Method for the Computation of Compressible Viscous Flows
(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
(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 ...
A very accurate Arbitrary Lagrangian–Eulerian meshless method for Computational Aeroacoustics
(Elsevier, 2018)
[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 ...
A Higher‑Order Chimera Method for Finite Volume Schemes
(Springer, 2018)
[Abstract:] In this work a higher-order accurate finite volume method for the resolution of the Euler/Navier–Stokes equations using Chimera grid techniques is presented. The formulation is based on the use of Moving Least ...
An a posteriori, efficient, high-spectral resolution hybrid finite-difference method for compressible flows
(Elsevier, 2018)
[Abstract:] A high-order hybrid method consisting of a high-accurate explicit finite-difference scheme and a Weighted Essentially Non-Oscillatory (WENO) scheme is proposed in this article. Following this premise, two ...