Open AccessBook
Spectral Methods in Fluid Dynamics
M. Y. Hussaini,Thomas A. Zang +1 more
TLDR
Spectral methods have been widely used in simulation of stability, transition, and turbulence as discussed by the authors, and their applications to both compressible and incompressible flows, to viscous as well as inviscid flows, and also to chemically reacting flows are surveyed.Abstract:
Fundamental aspects of spectral methods are introduced. Recent developments in spectral methods are reviewed with an emphasis on collocation techniques. Their applications to both compressible and incompressible flows, to viscous as well as inviscid flows, and also to chemically reacting flows are surveyed. The key role that these methods play in the simulation of stability, transition, and turbulence is brought out. A perspective is provided on some of the obstacles that prohibit a wider use of these methods, and how these obstacles are being overcome.read more
Citations
More filters
Journal ArticleDOI
Wavelet bases in H(div) and H(curl)
TL;DR: Stable wavelet bases for the stream function spaces H(curl) and H(div) are constructed and analysed and discrete (orthogonal) Hodge decompositions are obtained.
Book ChapterDOI
Biologically plausible models of neurite outgrowth.
TL;DR: This chapter describes the biologically plausible mathematical models of neurite initiation, elongation, and branching that attempt to describe the intra- and extra-cellular environments of a developing neuron and to determine the limiting factors in neurite outgrowth.
Journal ArticleDOI
Lubrication theory for reactive spreading of a thin drop
TL;DR: In this paper, the authors extend lubrication theory for spreading of thin drops in the presence of gravity and thermocapillarity to include mass transport and solutocapiliarity.
Journal ArticleDOI
Plume Formation and Resonant Bifurcations in Porous Media Convection
Michael D. Graham,Paul H. Steen +1 more
TL;DR: In this paper, the authors studied two-dimensional porous media convection near the onset of boundary layer scaling behavior and observed that these instabilities correspond to parametric resonances between the time scale for plume formation and the characteristic convective time scale of the flow.
References
More filters
Book
Navier-Stokes Equations
TL;DR: Schiff's base dichloroacetamides having the formula OR2 PARALLEL HCCl2-C-N ANGLE R1 in which R1 is selected from the group consisting of alkenyl, alkyl, alkynyl and alkoxyalkyl; and R2 is selected by selecting R2 from the groups consisting of lower alkylimino, cyclohexenyl-1 and lower alkynyl substituted cycloenenyl -1 as discussed by the authors.
Journal ArticleDOI
A spectral element method for fluid dynamics: Laminar flow in a channel expansion
TL;DR: In this article, a spectral element method was proposed for numerical solution of the Navier-Stokes equations, where the computational domain is broken into a series of elements, and the velocity in each element is represented as a highorder Lagrangian interpolant through Chebyshev collocation points.
Journal ArticleDOI
Numerical Simulation of Turbulent Flows
TL;DR: In this article, the Navier-Stokes equations are used to model the evolution of a turbulent mixing layer and turbulent channel flow in incompressible Newtonian fluids. And the results of simulations of homogeneous turbulence in uniform shear are presented graphically and discussed graphically.
Journal ArticleDOI
Spectral methods for problems in complex geometries
TL;DR: In this paper, a new iteration procedure is introduced to solve the full matrix equations resulting from spectral approximations to nonconstant coefficient boundary-value problems in complex geometries, and the work required to solve these spectral equations exceeds that of solving the lowest-order finite-difference approximation to the same problem by only O(N log N).
Improved turbulence models based on large eddy simulation of homogeneous, incompressible turbulent flows
TL;DR: In this paper, a subgrid scale similarity model is developed that can account for system rotation and the main effect of rotation is to increase the transverse length scales in the rotation direction, and thereby decrease the rates of dissipation.