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. Author manuscript; available in PMC: 2010 Aug 30.
Published in final edited form as: J Comput Phys. 2010;229(1):119–144. doi: 10.1016/j.jcp.2009.09.017

Table 1.

Convergence rate at time t = 0.02 for a 50–50 mixture of lipid phases with ū = 0.5, N = 512 grid points with Pe = 1 and varying (0.2, 0.1 and 0.05).

Δ t = 0.2
= 0.1
= 0.05
Error Convergence rate Error Convergence rate Error Convergence rate
8e—5 1.9345e—5 1.1259 3.6904e—6 2.4682e—5 1.6260
4e—5 7.0962e—6 1.4468 2.6481e—6 0.4788 7.1922e—6 1.7789
2e—5 2.2470e—6 1.6591 1.0381e—6 1.3510 1.8303e—6 1.9744
1e—5 3.2575e—7 1.6721 6.4334e—7 1.8043 4.5053e—7 2.0224
5e—6 1.7285e—7 1.8960 9.1656e—8 1.8295 1.1392e—7 1.9836
2.5e—6 4.4780e—8 1.9486 2.4311e—8 1.9146 2.9119e—8 1.9680