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Table 5 Actual order of convergence for the manufactured solution problem using the nominally second order scheme. Density (ρ), total energy (e), and one component of magnetic field (\(B_{x}\)) are shown

From: Technologies for supporting high-order geodesic mesh frameworks for computational astrophysics and space sciences

 

ρ

e

\(B_{x}\)

Division

5

6

7

5

6

7

5

6

7

\(L_{1}\)

2.0

2.0

2.0

2.0

2.0

2.0

2.0

2.0

2.0

\(L_{\infty }\)

2.0

2.0

1.8

2.0

2.0

2.0

1.8

1.8

1.8