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Showing 1 to 7 of 7 for “"pseudo-spectral methods"”.

  1. Examining Plasma Instabilities as Ionospheric Turbulence Generation Mechanisms Using Pseudo-Spectral Methods

    … the solar eclipse. A novel 2D electrostatic pseudo-spectral fluid model is developed to study the growth of these two instabilities and the problem of ionospheric turbulence in general. To focus on the ionospheric turbulence, a set of perturbed governing equations are derived. The model …

    vt Repository record for Examining Plasma Instabilities as Ionospheric Turbulence Generation Mechanisms Using Pseudo-Spectral Methods (opens in a new tab)

  2. Three-Dimensional Fluid Simulations of Mid-Latitude Ionospheric Processes with Hybrid Chebyshev/Fourier Pseudo-Spectral Methods

    … relative to the density gradient. Numerical spectral analysis results are presented and compared to recent experimental observations.par A newly developed three-dimensional (3D) electrostatic fluid model extends these investigations to capture the behavior and evolution of ionospheric plasma …

    vt Repository record for Three-Dimensional Fluid Simulations of Mid-Latitude Ionospheric Processes with Hybrid Chebyshev/Fourier Pseudo-Spectral Methods (opens in a new tab)

  3. On matrix-free pseudo-arclength continuation methods applied to a nonlocal partial differential equation in 1+1D with pseudo-spectral time-stepping

    … with periodic boundary conditions [5]. We apply pseudo-spectral methods to numerically integrate initial states of the populations given as small perturbations from a homogeneous steady state from which bifurcations and dynamics have been studied from a linear and weakly nonlinear analysis …

    uoit Repository record for On matrix-free pseudo-arclength continuation methods applied to a nonlocal partial differential equation in 1+1D with pseudo-spectral time-stepping (opens in a new tab)

  4. Numerical Simulation of Ion-Cyclotron Turbulence Generated by Artificial Plasma Cloud Release

    … nonlinear evolution of this turbulence. Fourier pseudo-spectral methods are combined with finite difference methods to solve the electron momentum equations. Time integration is accomplished by a 4th-order Runge-Kutta scheme or predicator-corrector method. The numerical results show good …

    vt Repository record for Numerical Simulation of Ion-Cyclotron Turbulence Generated by Artificial Plasma Cloud Release (opens in a new tab)

  5. Time-Domain Simulation of Sound Propagation in Frequency-Dependent Materials

    … in this dissertation. Recursive algorithm methods, piece-wise constant recursive methods (PCRC) and piece-wise linear recursive methods (PLRC) are used to numerically solve for convolution operations, and fractional central difference (FCD) methods are used to solve for fractional …

    ku Repository record for Time-Domain Simulation of Sound Propagation in Frequency-Dependent Materials (opens in a new tab)

  6. A Meshless Method for Magnetohydrodynamics and Applications to Protoplanetary Disks

    … as used in finite-difference type and pseudo-spectral methods, the divergence free constraint can be satisfied entirely by a choice of interpolation used to define the derivatives of the magnetic field. As an example we demonstrate a new class of finite-difference type derivative …

    columbia-diss Repository record for A Meshless Method for Magnetohydrodynamics and Applications to Protoplanetary Disks (opens in a new tab)

  7. Weakly collisional electrostatic simulations for laboratory astrophysics applications

    … for the ions by exploiting recently developed pseudo-spectral methods, while applying a fluid model to the electrons. With this code it is possible to perform a detailed study of wave and shock dynamics in the weakly collisional regime. Through insight gained from these simulations, along with …

    qu-belfast Repository record for Weakly collisional electrostatic simulations for laboratory astrophysics applications (opens in a new tab)