| Full three-dimensional Navier-Stokes equations with low magnetic Reynolds number assumption on the basis of Favre weighted average mass are used to solve the complicated flow field of supersonic viscous channel flow including shock wave,boundary layer and the interaction between them by introducing finite volume stationary numerical method of implicit LU-SGS method combined with first-order OC spatial scheme,second-order Harten-TVD one respectively.Validation of the arithmetic are realized by numerical simulation of supersonic diffuser with constant cross section,Hartmann flow etc..Outcome shows the arithmetic is feasible.The flow field of MHD accelerator and supersonic diffuser are numerical simulated in the article respectively using the arithmetic referred above.The influence of added electric and magnetic field on velocity shape of Hartmann flow is also taken into account.As far as MHD accelerator is concerned,to have a deep and primal analysis of the influence of added electric and magnetic field on flow field,the character of accelerator performance and distribution of flow field of one-dimensional MHD accelerator is calculated under various added electric and magnetic field firstly.The simulation outcome shows:the flow field can be accelerated (decelerated) by 27.6%(36.3%) by MHD control under certain condition.Then two dimensional and three dimensional MHD accelerators are numerical simulated.The outcome is analyzed and three-dimensional effect on MHD accelerator is discussed.For supersonic diffuser,the flow field structure,especially the reason for the appearance of shock train structure is analyzed and studied in mechanism.Through the comparison of the diffuser with and without added electric and magnetic field,the evaluation of MHD control effect on supersonic diffuser is concluded. The comprehension of MHD control of flow field is grown on further from another angle by numerical simulation of Hartmann flow.
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