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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 ...
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 ...
A reduced-dissipation WENO scheme with automatic dissipation adjustment
(Elsevier, 2020)
[Abstract:] In this paper, we propose a novel modification to the WENO-family schemes to reduce its intrinsic dissipation. In this work, we focus on the WENO5 scheme, which is rewritten in terms of a central plus a dissipative ...
Very high-order method on immersed curved domains for finite difference schemes with regular Cartesian grids
(Elsevier, 2020)
[Abstract:] A new very high-order technique for solving conservation laws with curved boundary domains is proposed. A Finite Difference scheme on Cartesian grids is coupled with an original ghost cell method that provide ...
MLS-SPH-ALE: A Review of Meshless-FV Methods and a Unifying Formulation for Particle Discretizations
(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 ...