Convergence Improved Lax-Friedrichs Scheme Based Numerical Schemes and Their Applications in Solving the One-Layer and Two-Layer Shallow-Water Equations

Figure 1

Numerical viscosity versus for the LF and LLF schemes in solving the linear convection problem: (a) and (b) . Note that the result for the LLF scheme is plotted on the right -axis. (a) is plotted on a semilog scale.

(a)

(b)