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Finite volume solvers and moving least-squares approximations for the compressible Navier-Stokes equations on unstructured grids
(Elsevier, 2005)
[Abstract] This paper introduces the use of Moving Least-Squares (MLS) approximations for
the development of high order upwind schemes on unstructured grids, applied to
the numerical solution of the compressible Navier-Stokes ...
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 ...
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 ...