Advances in Aerodynamics

Table 9 Required order of accuracy and the gauss point location as well as the corresponding weights

From: Extending the global-direction stencil with “face-area-weighted centroid” to unstructured finite volume discretization from integral form

Required order of accuracy	Gauss point location	weights
Second order	\( \frac{1}{2}\left(A+B\right) \)	1
Third order	\( \frac{3-\sqrt{3}}{6}A+\frac{3+\sqrt{3}}{6}B \)	0.5
Third order	\( \frac{3+\sqrt{3}}{6}A+\frac{3-\sqrt{3}}{6}B \)	0.5
Fourth order	\( \frac{5-\sqrt{15}}{10}A+\frac{5+\sqrt{15}}{10}B \)	\( \frac{5}{18} \)
	\( \frac{1}{2}\left(A+B\right) \)	\( \frac{8}{18} \)
	\( \frac{5+\sqrt{15}}{10}A+\frac{5-\sqrt{15}}{10}B \)	\( \frac{5}{18} \)

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