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pro vyhledávání: '"Clain Stéphane"'
In this paper we present a novel approach for the design of high order general boundary conditions when approximating solutions of the Euler equations on domains with curved boundaries, using meshes which may not be boundary conformal. When dealing w
Externí odkaz:
http://arxiv.org/abs/2312.07170
We propose an adaptive stencil construction for high order accurate finite volume schemes aposteriori stabilized devoted to solve one-dimensional steady-state hyperbolic equations. High-accuracy (up to the sixth-order presently) is achieved thanks to
Externí odkaz:
http://arxiv.org/abs/2101.00725
A nonlinear adaptive procedure for optimising both the schemes in time and space is proposed in view of increasing the numerical efficiency and reducing the computational time. The method is based on a four-parameter family of schemes we shall tune i
Externí odkaz:
http://arxiv.org/abs/2101.00659
An arbitrary order finite difference method for curved boundary domains with Cartesian grid is proposed. The technique handles in a universal manner Dirichlet, Neumann or Robin condition. We introduce the Reconstruction Off-site Data (ROD) method, th
Externí odkaz:
http://arxiv.org/abs/2007.14680
We develop a two-dimensional high-order numerical scheme that exactly preserves and captures the moving steady states of the shallow water equations with topography or Manning friction. The high-order accuracy relies on a suitable polynomial reconstr
Externí odkaz:
http://arxiv.org/abs/2004.04484
There are several numerical models that describe real phenomena being used to solve complex problems. For example, an accurate numerical breast model can provide assistance to surgeons with visual information of the breast as a result of a surgery si
Externí odkaz:
http://arxiv.org/abs/2003.07274
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Akademický článek
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Autor:
Reis, Cláudia a, ⁎, Barbosa, André R. a, Baptista, Maria Ana b, Lopes, Mário c, Clain, Stéphane d
Publikováno v:
In International Journal of Disaster Risk Reduction January 2024 100
Publikováno v:
In Applied Mathematics and Computation 15 November 2023 457