[HTML][HTML] Vlasov methods in space physics and astrophysics
M Palmroth, U Ganse, Y Pfau-Kempf… - Living reviews in …, 2018 - Springer
This paper reviews Vlasov-based numerical methods used to model plasma in space
physics and astrophysics. Plasma consists of collectively behaving charged particles that …
physics and astrophysics. Plasma consists of collectively behaving charged particles that …
Splitting methods for differential equations
This overview is devoted to splitting methods, a class of numerical integrators intended for
differential equations that can be subdivided into different problems easier to solve than the …
differential equations that can be subdivided into different problems easier to solve than the …
[HTML][HTML] A robust and conservative dynamical low-rank algorithm
L Einkemmer, A Ostermann, C Scalone - Journal of Computational Physics, 2023 - Elsevier
Dynamical low-rank approximation, as has been demonstrated recently, can be extremely
efficient in solving kinetic equations. However, a major deficiency is that it does not preserve …
efficient in solving kinetic equations. However, a major deficiency is that it does not preserve …
Unsupervised discovery of nonlinear plasma physics using differentiable kinetic simulations
AS Joglekar, AGR Thomas - Journal of Plasma Physics, 2022 - cambridge.org
Plasma supports collective modes and particle–wave interactions that lead to complex
behaviour in, for example, inertial fusion energy applications. While plasma can sometimes …
behaviour in, for example, inertial fusion energy applications. While plasma can sometimes …
A performance comparison of semi-Lagrangian discontinuous Galerkin and spline based Vlasov solvers in four dimensions
L Einkemmer - Journal of Computational Physics, 2019 - Elsevier
The purpose of the present paper is to compare two semi-Lagrangian methods in the context
of the four-dimensional Vlasov–Poisson equation. More specifically, our goal is to compare …
of the four-dimensional Vlasov–Poisson equation. More specifically, our goal is to compare …
Exponential methods for solving hyperbolic problems with application to collisionless kinetic equations
N Crouseilles, L Einkemmer, J Massot - Journal of Computational Physics, 2020 - Elsevier
The efficient numerical solution of many kinetic models in plasma physics is impeded by the
stiffness of these systems. Exponential integrators are attractive in this context as they …
stiffness of these systems. Exponential integrators are attractive in this context as they …
Hamiltonian Particle-in-Cell methods for Vlasov–Poisson equations
A Gu, Y He, Y Sun - Journal of Computational Physics, 2022 - Elsevier
In this paper, Particle-in-Cell algorithms for the Vlasov–Poisson system are presented based
on its Poisson bracket structure. The Poisson equation is solved by finite element methods …
on its Poisson bracket structure. The Poisson equation is solved by finite element methods …
Conservative semi-Lagrangian schemes for kinetic equations Part II: Applications
In this paper, we present a new class of conservative semi-Lagrangian schemes for kinetic
equations. They are based on the conservative reconstruction technique introduced in [1] …
equations. They are based on the conservative reconstruction technique introduced in [1] …
Adaptive symplectic model order reduction of parametric particle-based Vlasov–Poisson equation
J Hesthaven, C Pagliantini, N Ripamonti - Mathematics of Computation, 2024 - ams.org
High-resolution simulations of particle-based kinetic plasma models typically require a high
number of particles and thus often become computationally intractable. This is exacerbated …
number of particles and thus often become computationally intractable. This is exacerbated …
[HTML][HTML] Suppressing instability in a Vlasov–Poisson system by an external electric field through constrained optimization
Maintaining the stability and shape of a plasma is a crucial task in many technological
applications ranging from beam shaping to fusion energy. This is often challenging as …
applications ranging from beam shaping to fusion energy. This is often challenging as …