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MHMTVD

v6	v7
1	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. Please compare it with the HLLC scheme [https://astrobear.pas.rochester.edu/trac/astrobear/wiki/u/zchen/HLLC HLLC]
	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)