Abstract
The solution-adaptive cell-vertex finite volume upwind approaches on quadrilateral-triangular meshes are presented to solve the unsteady Euler equations. For the present approaches, Runge-Kutta time-integration method, Roe's Riemann solver, a modified area-averaged approach, the MUSCL differencing with two kinds of characteristic interpolation variables, and an improved solution-adaptive technique, where a new mesh-enrichment Indicator for acoustic wave is developed, are included. To evaluate the present approaches, Ringleb's flow, transonic flow around the NACA 0012 airfoil, shock propagation in a channel, traveling vortex in a freestream, and an acoustic pulse in a freestream are investigated. By using this solution-adaptive approach to solve the vortex-shock interaction and transonic blade-vortex interaction problems, the flow phenomena and aeroacoustic behaviors are simulated.
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