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Showing 1 to 10 of 10 for “"Chebyshev collocation"”.
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Combined analytical and numerical solutions in liquid metal flows in a rectangular duct with uniform or non-uniform, strong magnetic fields
… magnetic fields. Spectral methods with the Chebyshev collocation method or Chebyshev-Fourier collocation method have been used successfully for the numerical solutions.
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Hydrodynamic Stability of the boundary layer beneath a Stokes wave
… of the boundary layer. Using Fourier and Chebyshev collocation methods to solve the Orr-Sommerfeld eigenvalue problem, we examine the stability of the flow across a broader parameter space. Our findings suggest that, while the laminar boundary layer remains stable for the momentary …
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Solution of non-linear partial differential equations with the Chebyshev Spectral method
… modeled, but multiple sub-domains may be used. A Chebyshev-Collocation Spectral method is used to solve a variety of ordinary and partial differential equations. The Chebyshev Polynomial series follows a well established recursion relation for calculation of the polynomials and their derivatives. …
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Stability Analysis of Time Delay Systems Using Spectral Element Method
… that can cause computational difficulties. Collocation-type methods, such as Chebyshev-collocation approach, have also been used to study DDEs. One major limitation of the conventional Chebyshev collocation approach is that it is strictly applicable to DDEs with continuous coefficients. An …
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Modeling and Simulation of Molecular Couette Flows and Related Flows
… and solved with high precision by using Chebyshev collocation and chunk-based collocation methods. The velocity profiles of gaseous Couette flows and related flows with a wide range of Knudsen number and the Maxwell boundary condition of various accommodation ratios are obtained. …
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Pseudospectral techniques for non -smooth evolutionary problems
… non-smooth evolutionary problems using Fourier collocation and Chebyshev collocation. It is well known that pseudospectral methods for smooth problems can offer superior accuracy over finite difference and finite element methods.;This paper explores the use of pseudospectral methods for …
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Spectral hulls: a degree of freedom reducing hp-strategy in space/time
… using various methods including Fourier-Chebyshev collocation, Continuous Galerkin (CG), Discontinuous Galerkin (DG) and Discontinuous Least-Squares (DLS) on structured and/or arbitrary unstructured grids. The feasibility of such procedure is first investigated in time only by letting the …
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On the stability of plane viscoelastic shear flows in the limit of infinite Weissenberg and Reynolds numbers
… is derived and solved numerically using the Chebyshev collocation spectral method. This algorithm is computationally efficient and accurate in reproducing the eigenvalues. We consider flows bounded by walls as well as flows bounded by free surfaces. In the inviscid, nonelastic case all the …
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Modeling spider webs as multilinked structures using a Chebyshev pseudospectral collocation method
… solve the associated eigenvalue problem using a Chebyshev pseudospectral collocation method to discretize the system. This thesis first examines the vibrations of webs with uniform material properties throughout, then investigates the effects of using biologically realistic material parameters …
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High order numerical methods applied to the analysis of transport phenomena in combustion
… nodes. By following the philosophy behind the Chebyshev polynomials, the idea of an optimum grid for piecewise polynomial interpolations of degree q _ N is introduced. It is then shown, that when q = N, this polynomial interpolation on optimum nodes coincides with the Chebyshev interpolation, …