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High order finite volume schemes on unstructured grids using Moving Least Squares reconstruction. Application to shallow water dynamics
(John Wiley and Sons, 2005)
[Abstract] This paper introduces the use of Moving Least Squares (MLS) approximations for the development
of high-order finite volume discretizations on unstructured grids. The field variables and their
succesive derivatives ...
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 ...
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 ...