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Two cases, a slowly moving shock problem and a blunt body calculation, are discussed in this paper.
The slowly moving shock problem is tested extensively by Roe's Riemann solver and a cure for Roe's Riemann solver is proposed.
The method is applied to the solution of the one-dimensional Burgers equation with small viscosity, a moving shock problem, and a nonlinear thermoacoustic wave problem.
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We have performed a systematic and extensive validation of the algorithm with one-dimensional problems (inviscid moving shock and viscous shock-structure interaction), two-dimensional problems (inviscid steady and unsteady shocked flows and viscous shock-boundary layer interaction), and a three-dimensional supersonic turbulent flow over a ramped cavity.
For validation, the present algorithm has been checked on several classical one-dimensional and multidimensional test cases, including both viscous and inviscid flows: a moving shock wave interacting with a sine wave, the Lax shock tube problem, the 2D inviscid double Mach reflection and the 2D viscous shock wave vortex interaction.
The problem of the detection, formation, and propagation of a fast moving shock in a wholly subsonic environment inside a closed-end tube is solved by a finite-difference integration method belonging to the family of shock-fitting techniques.
The method can be extended to the detection of moving shock waves by considering the coordinate moving with the shock.
Drug powders and gas flows are induced by a moving shock wave generated in the micro shock tube and accelerated in the expanded nozzle.
Drug powders induced with the high momentum by a moving shock wave can be directly delivered into skin layers.
In this paper we investigate the behavior of shock-capturing methods for slowly moving shocks.
In this study, we consider a class of nonlinear aeroelastic stability problems, where geometric nonlinearities arising from large deflections and rotations in the structure interact with aerodynamic nonlinearities caused by moving shocks.
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CEO of Professional Science Editing for Scientists @ prosciediting.com