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
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Journal ArticleDOI
Time-reversal algorithms in viscoelastic media†
TL;DR: In this article, a modified time-reversal imaging algorithm based on a weighted Helmholtz decomposition was proposed to reconstructing sources in a homogeneous viscoelastic medium from wavefield measurements.
Journal ArticleDOI
Persistence Problem in Two-Dimensional Fluid Turbulence
TL;DR: A direct numerical simulation of the two-dimensional, incompressible Navier-Stokes equation with Ekman friction is used to study probability distribution functions (PDFs) of the persistence times of vortical and extensional regions by employing both Eulerian and Lagrangian measurements, finding that, in the Euleria case, the persistence-time PDFs have exponential tails.
Journal ArticleDOI
A three‐dimensional simulation of a steady approach flow past a circular cylinder at low Reynolds number
Jianfeng Zhang,Charles Dalton +1 more
TL;DR: In this paper, the authors used a fractional-step finite-difference:spectral-element method to calculate the 3D wake of a circular cylinder exposed to a steady-approach flow.
Journal ArticleDOI
Two-dimensional quantum effects in nanoscale MOSFETs
TL;DR: In this article, a 2D Schrodinger-Poisson solver with a semiclassical transport model was used to simulate the QM effects on the performance of deep submicron MOSFETs.
Proceedings ArticleDOI
Large-eddy simulation of flow through a low-pressure turbine cascade
TL;DR: In this article, the authors demonstrate the capability of large-eddy simulation (LES) to predict flow separation and the associated losses, and analyze the spatio-temporal dynamics of the unsteady separation process.
References
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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.