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Control functions in Z alpha #13

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giacrossi opened this issue Jan 11, 2017 · 1 comment
Open

Control functions in Z alpha #13

giacrossi opened this issue Jan 11, 2017 · 1 comment

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@giacrossi
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The functions weno_exp and tau maybe have to be changed in something new according to the following papers:

High Order Weighted Essentially Non-Oscillatory WENO-Z schemes for Hyperbolic Conservation Laws, Castro, Marcos and Costa, Bruno and Don, Wai Sun, JCP, 2011, vol. 230, pp. 1766--1792, doi:10.1016/j.jcp.2010.11.028

Accuracy of the weighted essentially non-oscillatory conservative finite difference schemes, Don, Wai-Sun and Borges, Rafael, JCP, 2013, vol. 250, pp. 347--372, doi:10.1016/j.jcp.2013.05.018

An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws, Borges, Rafael and Carmona, Monique and Costa, Bruno and Don, Wai Sun, JCP, 2008, vol. 227, pp. 3191--3211. doi:10.1016/j.jcp.2007.11.038

@giacrossi
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The weno_exp function has been deleted in commit 8b0c41b, but two issues remain open:

  1. the role of the exponent in the tau function;
  2. the expression used to evaluate tau function.

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