Development, validation and verification of the Momentum Source Model for discrete rotor blades

Development of an explicit pressure-based unstructured solver for three-dimensional incompressible flows with graphics hardware acceleration

“…The expicit four stage Runge-Kutta integraion scheme is derived and implemented using both the CPU and CUDA. Finally, the unsteady rotor model [4] is incorporated to test the ability of the Runge-Kutta scheme to handle complex unsteady rotor flows.…”

“…The local coordinate system, illustrated inFig. 2.4, of a typical tetrahedral control volume with nodes numbered(1,2,3,4). The global coordinate system (x, y, z) is transformed to the local coordinate system (X, Y, Z) using the following steps:…”

“…InFigure 5.12, the thrust coefficient versus time is shown for the various solvers tested. The Crank-Nicolson unstructured solver with an unsteady rotor produces valid results[4]; this solver is used as the baseline comparison for the Runge-Kutta solver. FromFigures 5.12and 5.13, it is clear that the time history of the thrust coefficients are comparable to those of the Crank-Nicolson solver.…”