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Eq.(26)(32) are nonconservative equations

(26) 

(27) 

(28) 

(29) 

(30) 

(31) 

(32) 
In a real physical system, we should have the conservation of momentum, energy and mass.
But this set of equations can not guarantee strict numerical conservation of momentum
and energy, though it can assure the conservation of mass. At the same time, it also
has numerical difficulties with convective derivatives. The practical application of
this set of equations also shows that
nonconservative equations lead to numerical difficulties with strong shocks and
the errors in the RankineHugoniot conditions and shock speed. So it is improper for us to use it in
shock related problems.
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