Theory and Modern Applications
From: A mass-conservative higher-order ADI method for solving unsteady convection–diffusion equations
t | \(h_{x}=h_{y}=0.01\), τ = 0.0125 | \(h_{x}=h_{y}=0.05\), τ = 2.5 × 10−6 | ||
---|---|---|---|---|
\(Q^{n}\) | \(|Q^{n}-Q(0)|\) | \(Q^{n}\) | \(|Q^{n}-Q(0)|\) | |
0 | 0.0314159265 | – | 0.0314159265 | – |
0.25 | 0.0314159265 | 1.36696 × 10−15 | 0.0314159265 | 1.00833 × 10−12 |
0.50 | 0.0314159265 | 2.27596 × 10−15 | 0.0314159265 | 2.06732 × 10−12 |
0.75 | 0.0314159265 | 2.65066 × 10−15 | 0.0314159265 | 3.13927 × 10−12 |
1.00 | 0.0314159265 | 4.42701 × 10−15 | 0.0314159265 | 4.20146 × 10−12 |
1.25 | 0.0314159265 | 5.66908 × 10−15 | 0.0314159265 | 5.24557 × 10−12 |