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On the Galerkin formulation of the smoothed particle hydrodynamics method
(John Wiley and Sons, 2004)
[Abstract] In this paper, we propose a Galerkin-based smoothed particle hydrodynamics (SPH) formulation with
moving least-squares meshless approximation, applied to free surface flows. The Galerkin scheme
provides a clear ...
A Mathematical Model to Evaluate the Impact of the Maintenance Strategy on the Service Life of Flexible Pavements
(Hindawi, 2019)
[Abstract] The structural failure of a flexible pavement occurs when the accumulated fatigue damage produced by all the vehicles that have passed over each section exceeds a certain threshold. For this reason, the service ...
Krein’s theorem in the context of topological abelian groups
(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 ...
A short note on a 3D spectral analysis for turbulent flows on unstructured meshes
(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 ...
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: 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 ...