Physics-based adaptivity of a spectral method for the Vlasov-Poisson equations based on the asymmetrically-weighted Hermite expansion in velocity space
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Publication:6162921
DOI10.1016/j.jcp.2023.112252arXiv2208.14373MaRDI QIDQ6162921
Cecilia Pagliantini, Stefano Markidis, Gian Luca Delzanno
Publication date: 16 June 2023
Published in: Journal of Computational Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.14373
Basic methods in fluid mechanics (76Mxx) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Partial differential equations of mathematical physics and other areas of application (35Qxx)
Cites Work
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- On the velocity space discretization for the Vlasov-Poisson system: comparison between implicit Hermite spectral and particle-in-cell methods
- A rescaling velocity method for dissipative kinetic equations. Applications to granular media
- Locally refined discrete velocity grids for stationary rarefied flow simulations
- On the convergence of the Fourier-Hermite transformation method for the Vlasov equation with an artificial collision term
- Vlasov simulations using velocity-scaled Hermite representations
- Viriato: a Fourier-Hermite spectral code for strongly magnetized fluid-kinetic plasma dynamics
- On stable wall boundary conditions for the Hermite discretization of the linearised Boltzmann equation
- A numerical method based on the Fourier-Fourier transform approach for modeling 1-D electron plasma evolution
- The recurrence of the initial state in the numerical solution of the Vlasov equation
- A generalized Fourier-Hermite method for the Vlasov-Poisson system
- Conservative discontinuous Galerkin/Hermite spectral method for the Vlasov-Poisson system
- On the stability of conservative discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system
- A decision-making machine learning approach in Hermite spectral approximations of partial differential equations
- Arbitrary-order time-accurate semi-Lagrangian spectral approximations of the Vlasov-Poisson system
- Filtered hyperbolic moment method for the Vlasov equation
- Multi-dimensional, fully-implicit, spectral method for the Vlasov-Maxwell equations with exact conservation laws in discrete form
- A Legendre-Fourier spectral method with exact conservation laws for the Vlasov-Poisson system
- Numerical integration methods of the Vlasov equation
- Plasma Oscillations with Diffusion in Velocity Space
- Suppression of Recurrence in the Hermite-Spectral Method for Transport Equations
- Spectral velocity discretizations for the Vlasov-Maxwell equations
- Convergence of Spectral Discretizations of the Vlasov--Poisson System
- Solving Vlasov Equations Using NR$xx$ Method
- Nonlinear Effects from Vlasov's Equation
- Note on N‐dimensional hermite polynomials
- On the kinetic theory of rarefied gases