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Error Propagations in Implicit Discretized Viscous Flow Models
Author(s) -
Dey S. K.
Publication year - 1981
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19810610206
Subject(s) - truncation error , discretization , truncation (statistics) , stability (learning theory) , mathematics , finite difference , flow (mathematics) , boundary (topology) , boundary value problem , finite difference method , discretization error , mathematical analysis , computer science , geometry , statistics , machine learning
It has been claimed in general, that implicit finite difference solution of Navier‐Stokes' equations is unconditionally stable. A linearized stability analysis [1] showed that if finite difference representations of boundary conditions do not contain errors and if truncations errors are neglected, such a claim is justifiable. However, in most problems, boundary conditions are often approximated and hence errors originate from there. Furthermore, depending upon the flow conditions and input parameters (like time steps, mesh sizes), truncation errors may have significant contributions upon numerical solutions. In this paper these investigations have been made.