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Convergence Acceleration of High Order Numerical Simulations using a Hybrid Spectral Di
Numerical Algorithms Computational Fluid Dynamics Spectral Di
2015/7/3
The goal of this paper is to show how numerical simulations of uid ow using high order methods for unstructured meshes can be sped up using a hybrid multigrid method. In our work we accelerate the ste...
Towards Computational Flapping Wing Aerodynamics of Realistic Configurations using Spectral Difference Method
Towards Computational Flapping Wing Aerodynamics Realistic Confi gurations Spectral Diff erence Method
2015/7/3
In this paper high-order high-fidelity simulations of unsteady flows over flapping wings are examined. The numerical framework for the present computational flapping wings anal...
Unsteady Adjoint Method for the Optimal Control of Advection and Burger’s Equations using High-Order Spectral Difference Method
Unsteady Adjoint Method Optimal Control Advection Burger’s Equations High-Order Spectral
2015/7/3
In this study, we investigate the method for adjoint-based optimal control of linear and non-linear equations. In particular, we are interested in the formulation of the unsteady adjoint method based ...
FLOW INDUCED CYLINDER OSCILLATION AND ITS CONTROL WITH HIGH ORDER SPECTRAL DIFFERENCE METHOD ON DEFORMABLE MESH
SPECTRAL DIFFERENCE METHOD DEFORMABLE MESH
2015/7/3
In the recent work by the authors, high order spectral difference (SD) method has been formulated in a framework with dynamic deformable meshes, and been demonstrated to preserve the design accuracy o...
A High-Order Spectral Difference Method for Fluid-Structure Interaction on Dynamic Deforming Meshes
High-Order Spectral Diff erence Method Fluid-Structure Interaction Dynamic Deforming Meshes
2015/7/3
In previous work by the authors, Spectral Difference Method has been formulated in a framework with time-dependent moving deformable meshes. The framework has also been shown to preserve the des...
Comparison of h-and p-Adaptations for Spectral Difference Methods
Comparison h-and p-Adaptations Spectral Diff erence Methods
2015/7/3
This paper applies some of the current mesh adaptation approaches to the high-order Spectral Difference (SD) method and investigates their performance on modeling inviscid steady flow. In ...
A Spectral Difference Method for the Euler and Navier-Stokes Equations on Unstructured Meshes
Spectral Diff erence Method Euler Navier-Stokes Equations Unstructured Meshes
2015/7/2
This work focuses on the extension of the recently introduced Spectral Difference Method to viscous flow. The spectral difference method is a conservative pseudo-spectral scheme base...
Application of the Time Spectral Method to Periodic Unsteady Vortex Shedding
Time Spectral Method Periodic Unsteady Vortex Shedding
2015/7/2
The Time Spectral method has been proposed for the fast and efficient computation of periodic unsteady flows. The algorithm has been validated with both 2D and 3D test cases and applied suc...
Spectral dimension of trees with a unique infinite spine
Spectral dimension trees unique infinite spine
2012/2/27
Using generating functions techniques we develop a relation between the Hausdorff and spectral dimension of trees with a unique infinite spine. Furthermore, it is shown that if the outgrowths along th...
Quantum spin chains of Temperley-Lieb type: periodic boundary conditions, spectral multiplicities and finite temperature
quantum spin chains Temperley-Lieb finite temperature
2010/4/6
We determine the spectra of a class of quantum spin chains of Temperley-Lieb type by utilizing the concept of Temperley-Lieb equivalence with the S=1/2 XXZ chain as a reference system. We consider ope...