Comparison of refinement criteria for structured adaptive mesh refinement |
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Authors: | Shengtai Li |
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Institution: | Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, United States |
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Abstract: | We have investigated and analyzed the grid convergence issues for an adaptive mesh refinement (AMR) code. We have found that the numerical results for the AMR grid may have a larger error than those for the unrefined uniform grid. After a detailed analysis, we have found that the numerical solution at the coarse-fine interface between different levels of the grid converges only in the first-order accuracy. Therefore, the error near the coarse-fine interface can quickly dominate the error in the other regions if the coarse-fine interface is active and not covered by the fine grid. We propose, implement, and compare several refinement criteria. Some of them can catch the large-error region near the coarse-fine interface and refine them with the fine grid. |
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Keywords: | Adaptive mesh refinement (AMR) Refinement criteria Verification and validation |
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