Chinese Journal of Mechanical Engineering

Table 4 Errors and orders of convergence on different cells

From: New Immersed Boundary Method on the Adaptive Cartesian Grid Applied to the Local Discontinuous Galerkin Method

i	q ₁				u
i	L^∞	Order	L²	Order	L^∞	Order	L²	Order
1	1.59 × 10⁻⁴		2.21 × 10⁻⁴		3.85 × 10⁻²		5.10 × 10⁻³
2	9.94 × 10⁻⁵	1.84	1.21 × 10⁻⁴	2.35	2.63 × 10⁻²	1.49	3.48 × 10⁻³	1.50
3	7.23 × 10⁻⁵	1.75	7.89 × 10⁻⁵	2.35	2.00 × 10⁻²	1.50	2.64 × 10⁻³	1.51
4	5.68 × 10⁻⁵	1.68	5.66 × 10⁻⁵	2.31	1.61 × 10⁻²	1.49	2.13 × 10⁻³	1.50
5	4.68 × 10⁻⁵	1.62	4.31 × 10⁻⁵	2.28	1.35 × 10⁻²	1.47	1.78 × 10⁻³	1.47
6	3.46 × 10⁻⁵	1.56	2.80 × 10⁻⁵	2.22	1.02 × 10⁻²	1.44	1.35 × 10⁻³	1.44

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