NND Schemes and their Application to Numerical Simulation of Complex Plume Flow Problems
In the calculation of complex flow fields containing shock waves, much attention has been paid to the shock capturing method. In order to capture shock waves smoothly without spurious oscillations near or in the shock regions, mixed dissipative schemes (containing free parameters) with first order accuracy near shocks and second order schemes elsewhere have been widely used [l],,. There are inherent disadvantages in employing these schemes: first, the free parameters are basically determined through numerical experiments, and second, the resolution of shock is not very satisfactory. Naturally the development of high resolution non-oscillatory dissipative schemes (NND) containing no free parameters has been much emphasized recently, such as TVD schemes – and ENO schemes .
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