Changes between Version 5 and Version 6 of u/zchen/MHMTVD
- Timestamp:
- 09/09/13 00:32:43 (11 years ago)
Legend:
- Unmodified
- Added
- Removed
- Modified
-
u/zchen/MHMTVD
v5 v6 1 MUSCL-Hancock method with Total-Variation-Diminishing 'principle' (MINBEE slope limiter) and HLLC Riemann Solver are used to solve 1-D Euler Equations 1 MUSCL-Hancock method with Total-Variation-Diminishing 'principle' (MINBEE slope limiter) and HLLC Riemann Solver are used to solve 1-D Euler Equations. 2 2 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. 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. Please compare it with the HLLC scheme [https://astrobear.pas.rochester.edu/trac/astrobear/wiki/u/zchen/HLLC HLLC] 4 4 5 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. To be more specific, I made some modification to the slope limiter, but it become very complicated. 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? (It will take another week or two)