A high-order weighted positive and flux conservative method for the Vlasov equation
Abstrak
Abstract We present a high-order conservative, positivity-preserving, and non-oscillatory scheme for solving the Vlasov equation. The scheme attains formal fifth-order accuracy through a convex combination of positive and non-oscillatory polynomials in substencils. Nonlinear weights for these polynomials are formulated that assign higher priority to substencils with larger $$L^2$$ L 2 norm to enhance resolution while maintaining positivity and non-oscillatory properties. An approximate dispersion relation indicates that the spectral properties of the present scheme outperform those of an underlying fifth-order scheme and even surpass those of a seventh-order scheme in certain wavenumber ranges. We apply this scheme to the one-dimensional Vlasov–Ampere equations and the two-dimensional Vlasov–Maxwell equations, and demonstrate high-resolution simulations with improved conservation of entropy. Graphical abstract
Topik & Kata Kunci
Penulis (2)
Takashi Minoshima
Yosuke Matsumoto
Akses Cepat
- Tahun Terbit
- 2025
- Sumber Database
- DOAJ
- DOI
- 10.1186/s40623-025-02322-6
- Akses
- Open Access ✓