A new Mean Preserving Moving Least Squares method for Arbitrary Order Finite Volume schemes
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http://hdl.handle.net/2183/32748
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A new Mean Preserving Moving Least Squares method for Arbitrary Order Finite Volume schemesAutor(es)
Data
2023Cita bibliográfica
Ramírez, L., Edreira, L., Couceiro, I., Ouro, P., Nogueira, X., Colominas, I. (2023). A new mean preserving moving least squares method for arbitrary order finite volume schemes. Applied Mathematics and Computation, 443, 127768. https://doi.org/10.1016/j.amc.2022.127768
Resumo
[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 Least Squares reconstruction, which preserves the mean values of the conservative variables. Hence, the proposed scheme changes the traditional error functional of the MLS reconstruction in order to compare the cell-averaged values. Several benchmark problems are used to assess the proposed scheme’s accuracy and performance, to show that arbitrary order of convergence can be achieved. Furthermore, the proposed method is applied to the numerical solution of the Navier-Stokes equations and its ability to simulate turbulent flows is verified.
Palabras chave
Finite volume
Moving least squares
Mean preserving
Very high-order methods
Compressible flows
Moving least squares
Mean preserving
Very high-order methods
Compressible flows
Descrición
Financiado para publicación en acceso aberto: Universidade da Coruña/CISUG
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Atribución-NoComercial-SinDerivadas 3.0 España