Vortex Dominated Flows
Addressed to both graduate students and researchers this monograph provides in-depth analyses of vortex dominated flows via matched and multiscale asymptotics, and it demonstrates how insight gained through these analyses can be exploited in the construction of robust, efficient, and accurate numerical techniques. The dynamics of slender vortex filaments is discussed in detail, including fundamental derivations, compressible core structure, weakly non-linear limit regimes, and associated numerical methods. Similarly, the volume covers asymptotic analysis and computational techniques for weakly compressible flows involving vortex generated sound and thermoacoustics.
Treats theoretical foundations of vortical flowsDetailed treatment of the dynamics of slender vortex filaments, including fundamental derivationsPresents numerical schemes based on asymptotic theoryPresents applications of matched asymptotics to physical models and to numerics