3 | | The following are same numerical experiments as before. |
| 3 | The following are same numerical experiments as before. As you can see, second order scheme is more accurate also more spurious. If TVD principle is not applied to MUSCL-Hancock second order method, the spurious effect will be more severe. |
| 4 | |
| 5 | When I was writing this program, I did not follow the book exactly, one will find the problem if he(she) apply the method mentioned in book to the second test. A more attractive method is Adaptive Primitive Conservative Scheme using Characteristic Limiting Method and MUSCL-Hancock Method with Total-Variation-Diminishing 'principle' (slope limiter). I thought about how to implement it, should I do it? |