论文信息 - ON THE RECENT DIFFERENCE SCHEMES FOR THE THREE-DIMENSIONAL EULER EQUATIONS

ON THE RECENT DIFFERENCE SCHEMES FOR THE THREE-DIMENSIONAL EULER EQUATIONS

Numerical estimations of TVD schemes(YeeHarten's TVD and Chakravarthy-Osher's TVD) in three-dimensional general coordinate system are performed by solving the Euler equations around the ONERA M6 wing. It is known their TVD schemes do not give good solutions in curvilinear coordinate system, and several modifications with regard to treatment of metrics are carried out. Comparing with the solution of Beam-Warming scheme, our modified TVD schemes yield excellent solutions with very few numerical oscillations for strong shock waves and high ability of capturing the leading edge expansion. Further it is shown the solutions of both the TVD schemes almost perfectly coincide with each other in case of the computations using an adaptive grid.

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