Development of High-Resolution Total Variation Diminishing Scheme for Linear Hyperbolic Problems

Table 1

Spatial convergence rates of different schemes for smooth solution.

Numerical scheme	Convergence rate
1st-order upwind	0.86
QUICK scheme	1.3
Minbee limiter	1.1
Superbee	0.99
Kumar limiter	1.3
New limiter with	1.3