Table 4 L 1norm errors and orders of convergence for test case 2.
From: The piecewise parabolic method for Riemann problems in nonlinear elasticity
Method | N | u 1 | u 2 | F 11 | |||
|---|---|---|---|---|---|---|---|
L 1-error | L 1-order | L 1-error | L 1-order | L 1-error | L 1-order | ||
PPM + HLL | 250 | 1.47E-02 | — | 2.51E-02 | — | 6.27E-03 | — |
500 | 9.04E-03 | 0.704 | 1.70E-02 | 0.561 | 4.14E-03 | 0.599 | |
1000 | 5.24E-03 | 0.788 | 1.12E-02 | 0.600 | 2.77E-03 | 0.579 | |
PPM + HLLC | 250 | 8.85E-03 | — | 1.81E-02 | — | 2.82E-03 | — |
500 | 5.13E-03 | 0.786 | 1.17E-02 | 0.633 | 1.77E-03 | 0.674 | |
1000 | 2.65E-03 | 0.955 | 7.19E-03 | 0.699 | 1.00E-03 | 0.819 | |
PPM + HLLD | 250 | 7.94E-03 | — | 9.65E-03 | — | 2.35E-03 | — |
500 | 4.45E-03 | 0.835 | 5.76E-03 | 0.745 | 1.39E-03 | 0.761 | |
1000 | 2.11E-03 | 1.077 | 3.08E-03 | 0.904 | 7.07E-04 | 0.973 | |
