Finite volume solvers and moving least-squares approximations for the compressible Navier-Stokes equations on unstructured grids
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Finite volume solvers and moving least-squares approximations for the compressible Navier-Stokes equations on unstructured gridsFecha
2005Resumen
[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 equations. This meshfree
interpolation technique is designed to reproduce arbitrary functions and their
succesive derivatives from scattered, pointwise data, which is precisely the case of
unstructured-grid finite volume discretizations. The Navier-Stokes solver presented
in this study follows the ideas of the generalized Godunov scheme, using Roe’s approximate
Riemann solver for the inviscid fluxes. Linear, quadratic and cubic polynomial
reconstructions are developed using MLS to compute high order derivatives
of the field variables. The diffusive fluxes are computed using MLS as a global reconstruction
procedure. Various examples of inviscid and viscous flow are presented
and discussed.
Palabras clave
Compressible flows
Finite volume method
High-resolution methods
High-order methods
Moving least-squares
Unstructured grids
Finite volume method
High-resolution methods
High-order methods
Moving least-squares
Unstructured grids
Descripción
Enviado a "Computer methods in applied mechanics and engineering"