The present hybrid vortex tube-vorton method is based entirely on the Full Multi-wake Vortex Lattice Method(FMVLM)concepts,which means detaching vorticity with pre-cise vortex strength and orientation along all separa...The present hybrid vortex tube-vorton method is based entirely on the Full Multi-wake Vortex Lattice Method(FMVLM)concepts,which means detaching vorticity with pre-cise vortex strength and orientation along all separation lines between each discretized element of a shell-body,including all external edges.Since the classic Vortex Particle Method(VPM)is unstable by itself because it does not conserve the total amount of circulation as time evolves(Kelvin’s circulation theorem),an isolated Vortex(regular-ized)Filament Method(VFM)approach is implemented to obtain advection of vorti-city,while the induced velocity field is obtained through its corresponding full vorton cloud.Further,a novel vortex squeezing/stretching scheme for such a vortex cylinder-sphere approach is proposed based on variation in time for vortex volumes in order to precisely(zero residual)conserve both circulation and vorticity at each time step(for each detached vortex element),while the viscous effect can be accounted for via the Core Spreading Method(CSM).展开更多
基金This article was supported by the National Council for Science and Technology of Mexico(Consejo Nacional de Ciencia y Tecnologia—CONACyT).
文摘The present hybrid vortex tube-vorton method is based entirely on the Full Multi-wake Vortex Lattice Method(FMVLM)concepts,which means detaching vorticity with pre-cise vortex strength and orientation along all separation lines between each discretized element of a shell-body,including all external edges.Since the classic Vortex Particle Method(VPM)is unstable by itself because it does not conserve the total amount of circulation as time evolves(Kelvin’s circulation theorem),an isolated Vortex(regular-ized)Filament Method(VFM)approach is implemented to obtain advection of vorti-city,while the induced velocity field is obtained through its corresponding full vorton cloud.Further,a novel vortex squeezing/stretching scheme for such a vortex cylinder-sphere approach is proposed based on variation in time for vortex volumes in order to precisely(zero residual)conserve both circulation and vorticity at each time step(for each detached vortex element),while the viscous effect can be accounted for via the Core Spreading Method(CSM).
