The estimation of truncation error by τ -estimation revisited
作者： F. Fraysse , J. de Vicente , E. Valero
DOI: 10.1016/J.JCP.2011.09.031
关键词: Euler equations 、 Partial differential equation 、 Boundary value problem 、 Mathematical analysis 、 Finite difference 、 Truncation error (numerical integration) 、 Finite difference method 、 Finite volume method 、 Multigrid method 、 Mathematics
摘要: The aim of this paper was to accurately estimate the local truncation error partial differential equations, that are numerically solved using a finite difference or volume approach on structured and unstructured meshes. In work, we approximated @t-estimation procedure, which aims compare residuals sequence grids with different spacing. First, focused analysis one-dimensional scalar linear non-linear test cases examine accuracy estimation for both approaches grid topologies. Then, extended two-dimensional problems: first equations finally Euler equations. We demonstrated yields highly accurate if some conditions fulfilled. These related restriction operators, choice boundary conditions, distortion magnitude iteration error.
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