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On pitfalls in accuracy verification using time-dependent problems
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DOI：10.1016/j.jcp.2023.112389.png)
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摘要
En 中文
In this short note, we discuss the circumstances that can lead to a failure to observe the design order of discretization error convergence in accuracy verification when solving a time-dependent problem. In particular, we discuss the problem of failing to observe the design order of spatial accuracy with an extremely small time step. The same problem is encountered even if the time step is reduced with grid refinement. These can cause a serious problem because then one would wind up trying to find a coding error that does not exist. This short note clarifies the mechanism causing this failure and provides a guide for avoiding such pitfalls.& COPY; 2023 Elsevier Inc. All rights reserved.
Keyword:
Accuracy verification
Finite volume
Finite difference
Time dependent
Manufactured solution
Unstructured grids
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期刊
IF:
3.8
论文数:
1.6W
被引数:
7.4W
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