Efficient FMM Accelerated Vortex Methods in Three Dimensions via the Lamb-Helmholtz Decomposition
Efficient FMM Accelerated Vortex Methods in Three Dimensions via the Lamb-Helmholtz Decomposition
Vortex methods are used to efficiently simulate incompressible flows using Lagrangian techniques.Use of the FMM (Fast Multipole Method) allows considerable speed up of both velocity evaluation and vorticity evolution terms in these methods.Both equations require field evaluation of constrained (divergence free) vector valued quantities (velocity, vorticity) and cross terms from …