Abstract
A class of high-order reconstruction methods based on logarithmic functions is presented. Inspired by Marquina's hyperbolic method, we introduce a double logarithmic ansatz of fifth order of accuracy. Low variation is guaranteed by the ansatz and (slope-) limiting is avoided. The method can reconstruct smooth extrema without order reduction. Fifth order of convergence is verified in a numerical experiment governed by the nonlinear Euler system. Numerical experiments, including the Osher-Shu shock/acoustic interaction, are presented.
| Original language | English |
|---|---|
| Pages (from-to) | 294-314 |
| Journal | SIAM Journal on Scientific Computing |
| Volume | 27 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2005 |
Bibliographical note
The information about affiliations in this record was updated in December 2015.The record was previously connected to the following departments: Numerical Analysis (011015004), Centre for Mathematical Sciences (011015000)
Subject classification (UKÄ)
- Mathematical Sciences
Free keywords
- high-order reconstruction
- conservation law
- finite volume method
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