Time-Splitting Procedures for the Numerical Solution of the 2D Advection-Diffusion Equation

Figure 1

Plots of modulus of amplification factor versus phase angle in 𝑥-direction, 𝜔_𝑥, versus phase angle in 𝑦-direction, 𝜔_𝑦, at ℎ=0.025 with some different values of 𝑘 for the LOD Lax-Wendroff scheme.

(a) ℎ=0.025,𝑘=0.005

(b) ℎ=0.025,𝑘=0.01

(c) ℎ=0.025,𝑘=1/60

(d) ℎ=0.025,𝑘=3/160