Bubble-Enriched Least-Squares Finite Element Method for Transient Advective Transport

Table 2

Propagation of discontinuity by $t=0.6$.

	CN-LSFEM			ST-LSFEM			BE-LSFEM
Courant no.	slope $m$	$U_{\min \hspace{0.17em}}$	$U_{\max \hspace{0.17em}}$	Slope $m$	$U_{\min \hspace{0.17em}}$	$U_{\max \hspace{0.17em}}$	Slope $m$	$U_{\min \hspace{0.17em}}$	$U_{\max \hspace{0.17em}}$	%gain in $m$	%redn. in $U_{\min \hspace{0.17em}}$	%redn. in $U_{\max \hspace{0.17em}}$
0.75	$-$12.66	$-$0.0005	1.1341	$-$9.789	0	1.1740	$-$14.64	$-$0.179	1.0001	15.6	$-$356.6	11.8
1.0	$-$10.33	none	1.1684	$-$7.965	0.0001	1.193	$-$48.31	0	1.0109	367.7	—	13.5
2.0	$-$5.947	none	1.2934	$-$4.907	0.0054	1.2232	$-$5.611	0.0025	1.245	$-$5.65	—	3.8