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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Influence of food quality and quantity on the growth and development of Crassostrea gigas larvae: a modeling approach
TL;DR: The simulations show that genetically determined variations in growth efficiency produce significant changes in larval survival and success at metamorphosis, and illustrate the strength and utility of numerical models for evaluating and designing hatchery protocols for optimizing yield of C. gigas larvae.
Journal ArticleDOI
A compact finite-difference scheme for solving a one-dimensional heat transport equation at the microscale: 431
Weizhong Dai,Raja Nassar +1 more
TL;DR: In this paper, a high-order compact finite-difference scheme for the heat transport equation at the microscale was developed, and it is shown by the discrete Fourier analysis method that the scheme is unconditionally stable.
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Numerical simulations of two-dimensional magnetic domain patterns.
TL;DR: It is shown that a model for the interaction of magnetic domains that includes a short range ferromagnetic and a long range dipolar antiferromagnetic interaction reproduces very well many characteristic features of two-dimensional magnetic domain patterns.
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Stability transformation: a tool to solve nonlinear problems
TL;DR: In this paper, the authors present an analysis of the properties as well as the diverse applications and extensions of the method of stabilisation transformation, which was originally invented to detect unstable periodic orbits in chaotic dynamical systems.
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Pseudospectral method of solution of the Fitzhugh-Nagumo equation
Daniel Olmos,Bernie D. Shizgal +1 more
TL;DR: A study of the convergence of different numerical schemes in the solution of the Fitzhugh-Nagumo equations in the form of two coupled reaction diffusion equations for activator and inhibitor variables, using an operator splitting method with the Chebyshev multidomain approach to reduce the computational time.
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.
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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.