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Update 3.1 Code basics authored by Udo Ziegler's avatar Udo Ziegler
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3-NIRVANA-user-guide/3.1-Code-basics.md
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...@@ -425,6 +425,7 @@ individually selected by the user. The standard implementation covers ...@@ -425,6 +425,7 @@ individually selected by the user. The standard implementation covers
criteria which are criteria which are
- derivatives-based (most important in practice): - derivatives-based (most important in practice):
![amr_deriv](uploads/eaf4cfafa0ef9cb330cad12dfcc95e81/amr_deriv.png)
$$\\left\[\\alpha\\frac{\|\\delta\\,\\!U\|}{\|U\|+U\_\\mathrm{ref}}+(1-\\alpha) $$\\left\[\\alpha\\frac{\|\\delta\\,\\!U\|}{\|U\|+U\_\\mathrm{ref}}+(1-\\alpha)
\\frac{\|\\delta\\,\\!^2U\|}{\|\\delta\\,\\!U\|+{\\rm FILTER}\\cdot(\|U\|+U\_\\mathrm{ref})}\\right\] \\frac{\|\\delta\\,\\!^2U\|}{\|\\delta\\,\\!U\|+{\\rm FILTER}\\cdot(\|U\|+U\_\\mathrm{ref})}\\right\]
\\left(\\frac{\\delta\\,\\!x^{(l)}}{\\delta\\,\\!x^{(0)}}\\right)^{\\xi} \\left(\\frac{\\delta\\,\\!x^{(l)}}{\\delta\\,\\!x^{(0)}}\\right)^{\\xi}
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