Unsteady Supersonic Flows over a Backward-Facing Step with Applied Magnetic Field

摘要

Time-dependent behavior of shock/boundary-layer interaction has been investigated numerically for flows over anbackward-facing step. Using a multiblock-grid strategy, the global domain of computation has been decomposed intontwo subdomains representing upstream and downstream regions from the step location. First, Navier–Stokesnanalysis has been performed to investigate the unsteady shock/boundary-layer interaction. Subsequently, magnetofluid-ndynamics computations have been performed to explore the effects of applied magnetic field over the unsteadynnature of the problem and its use for local flow control. A time-explicit modified Runge–Kutta scheme with totalvariation-ndiminishing limiters under a multiblock-grid approach has been implemented. The governing equationsnare composed of the Navier–Stokes equation modified to include the effect of magnetic field under low-magnetic-nReynolds-number approximation. The effects of an applied magnetic field and a time-dependent magnetic field onnthe flowfield have been investigated. It has been shown that the application of magnetic field increases the unsteadynnature of the problem.