Abstract
We present a new numerical method to simulate unsteady fluid flows under a wide range of Mach number conditions : supersonic to natural convection. This method titled QCAM is based on a quasi-conservative formulation for momentum and energy advection. The TVD scheme extended for the present formulation is used to suppress spurious oscillations of the primitive variables (v and E) arising near shock front and contact discontinuity. The Newton iteration is applied to solve coupled equations of mass, EOS, and energy evolution with the div (pv) term, thus accurate mass conservation and the implicit relationship among the status variables are preserved. Some representative calculations (Mach number 2 to 5×10-5) show that this method sounds good. In particular the QCAM produced as accurate solution as strictly conservative AUSM code for high speed flow regime, and also has high potential to reduce CPU time and memory requirement due to its simple structure.
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