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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An evolve‐then‐filter regularized reduced order model for convection‐dominated flows
TL;DR: In this article, a regularized version of the regularized orthogonal decomposition (Reg-ROM) was proposed, which aims to add numerical stabilization to proper POD ROMs for convection-dominated flows.
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Helicopter Rotor Design Using a Time-Spectral and Adjoint-Based Method
TL;DR: In this paper, a time-spectral and adjoint-based optimization method was developed and applied to helicopter rotor design for unsteady level flight, which was validated against conventional timeaccurate computational fluid dynamics computation and flight test data of a UH-60A helicopter rotor during high speed forward flight.
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Numerical test of the weak turbulence approximation to ionospheric Langmuir turbulence
TL;DR: In this paper, the authors compare the results of a weak turbulence approximation (WTA) derived from a version of the one-dimensional driven and damped Zakharov system of equations (ZSE) with solutions to the same full ZSE.
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Accurate and efficient reconstruction of discontinuous functions from truncated series expansions
TL;DR: In this article, the authors constructed an algebraic equation of degree M for the M locations of discontinuities in each period for a periodic function, or in the interval (-1, 1 ) for a nonperiodic function.
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Internal heat generation on bioconvection of an MHD nanofluid flow due to gyrotactic microorganisms
Gangadhar Kotha,Venkata Ramana Kolipaula,Munagala Venkata Subba Rao,Surekha Penki,Ali J. Chamkha +4 more
TL;DR: In this paper, a spectral relaxation method was proposed to analyze the two-dimensional magnetohydrodynamic flow and heat and mass transfer phenomena of water-based nanofluid containing gyrotactic microorganisms over a vertical plate by means of heat generation or absorption.
References
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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.
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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.
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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.
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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.