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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 ...
SPH-ALE Scheme for Weakly Compressible Viscous Flow with a Posteriori Stabilization
(MDPI, 2021)
[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 ...
A Well-Balanced SPH-ALE Scheme for Shallow Water Applications
(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 ...