... | @@ -426,13 +426,6 @@ criteria which are |
... | @@ -426,13 +426,6 @@ criteria which are |
|
|
|
|
|
- derivatives-based (most important in practice):
|
|
- derivatives-based (most important in practice):
|
|
![amr_deriv](uploads/25c608e1a335aca4242b34afb9e4ffeb/amr_deriv.png)
|
|
![amr_deriv](uploads/25c608e1a335aca4242b34afb9e4ffeb/amr_deriv.png)
|
|
$$\\left\[\\alpha\\frac{\|\\delta\\,\\!U\|}{\|U\|+U\_\\mathrm{ref}}+(1-\\alpha)
|
|
|
|
\\frac{\|\\delta\\,\\!^2U\|}{\|\\delta\\,\\!U\|+{\\rm FILTER}\\cdot(\|U\|+U\_\\mathrm{ref})}\\right\]
|
|
|
|
\\left(\\frac{\\delta\\,\\!x^{(l)}}{\\delta\\,\\!x^{(0)}}\\right)^{\\xi}
|
|
|
|
\\left\\{\\begin{array}{ll}
|
|
|
|
>\\mathcal{E}\_{U} &\\exists U \\quad\\hbox{refinement}\\\\
|
|
|
|
<0.8\\mathcal{E}\_{U} & \\forall U \\quad\\hbox{derefinement}\\\\
|
|
|
|
\\end{array}\\right.$$
|
|
|
|
|
|
|
|
The criterion is applied to primary (or related) physical variables
|
|
The criterion is applied to primary (or related) physical variables
|
|
*U* ( = {𝜚, **m**, *e*, **B**, *C*<sub>*c*</sub>}). Undivided first
|
|
*U* ( = {𝜚, **m**, *e*, **B**, *C*<sub>*c*</sub>}). Undivided first
|
... | | ... | |