Vortex Dominated Flows [electronic resource] : Analysis and Computation for Multiple Scale Phenomena /
Ting, Lu.author.
Klein, Rupert.author.
Knio, Omar M.author.
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.
Previous ed. published as: Viscous vortical flows / L. Ting, R. Klein. 1991.
Includes bibliographical references and index.
Vortex-Dominated Flows and General Theory -- Motion and Decay of Vortex Filaments — Matched Asymptotics -- Nonlinear Dynamics of Nearly Straight Vortex Filaments -- Numerical Simulation of Slender Vortex Filaments -- Numerical Simulations of the Merging of Vortices or Filaments -- Flow Generated -- Sound Generated Flow -- Epilogue.
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.
Mathematical physics.
Physics.
Fluids.
Numerical analysis.
Fluid mechanics.
Theoretical, Mathematical and Computational Physics.
Mathematical Methods in Physics.
Numerical and Computational Physics, Simulation.
Fluid- and Aerodynamics.
Numerical Analysis.
Engineering Fluid Dynamics.
Applied mathematical sciences