Development of unsteady algorithms for pressure-based unstructured solver for two-dimensional incompressible flows

An Explicit Pressure-Based Algorithm for Incompressible Flows

“…19 A non-iterative time advancement algorithm utilizing an explicit Runge-Kutta scheme for time advancement has been investigated by several researchers. [21][22][23] The method, called RK-SIMPLER, utilizes the pressure equation of the SIMPLER algorithm and is shown to provide significant runtime reduction over SIMPLER for unsteady problems at relatively high Reynolds numbers despite a small timestep requirement. The algorithm does not introduce relaxation or approximations into any of the equations and proves that if the pressure field is known, the momentum equations can be solved as a generic set of coupled ordinary differential equations using any suitable time advancement scheme.…”

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

“…Recently, Lestari [35] used a CVFEM like method with median-dual control volumes [53] for solving the two-dimensional, unsteady Navier-Stokes equations. Triangular grid elements were used and various implicit and explicit time integration schemes were examined.…”

“…35 Induced velocity profiles, Rotor -II In order to visualize discrete vortices for a rotor hovering in OGE, the 'θ' component of vorticity in different (r − z) planes is visualized for Rotor-II. The data is obtained by moving the plane of observation in positive 'θ' direction in increments of 7 0 while the rotor blades rotate in negative θ direction.…”

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

“…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:…”