20 citations · 42 across the 5 of their papers we have counts for
8 papers
Characteristic Mapping Method for Vlasov-Poisson with BGK-collisions
Xi-Yuan Yin, Philipp Krah, Zetao Lin +2
This work presents the first steps for simulating kinetic plasmas with collisions using the characteristic mapping method (CMM). The CMM is a semi-Lagrangian method that uses the g…
A Characteristic Mapping Method with Source Terms: Applications to Ideal Magnetohydrodynamics
Xi-Yuan Yin, Philipp Krah, Jean-Christophe Nave +1
This work introduces a generalized characteristic mapping method designed to handle non-linear advection with source terms. The semi-Lagrangian approach advances the flow map, inco…
Singularity formation of vortex sheets in 2D Euler equations using the characteristic mapping method
Julius Bergmann, Thibault Maurel-Oujia, Xi-Yuan +3
The goal of this numerical study is to get insight into singular solutions of the two-dimensional (2D) Euler equations for non-smooth initial data, in particular for vortex sheets.…
A Characteristic Mapping Method for Vlasov-Poisson with Extreme Resolution Properties
Philipp Krah, Xi-Yuan Yin, Julius Bergmann +2
We propose an efficient semi-Lagrangian characteristic mapping method for solving the one+one-dimensional Vlasov-Poisson equations with high precision on a coarse grid. The flow ma…
A Characteristic Mapping Method for the three-dimensional incompressible Euler equations
Xi-Yuan Yin, Kai Schneider, Jean-Christophe Nave
We propose an efficient semi-Lagrangian Characteristic Mapping (CM) method for solving the three-dimensional (3D) incompressible Euler equations. This method evolves advected quant…
A diffusion-driven Characteristic Mapping method for particle management
Xi-Yuan Yin, Linan Chen, Jean-Christophe Nave
We present a novel particle management method using the Characteristic Mapping framework. In the context of explicit evolution of parametrized curves and surfaces, the surface dist…
A Characteristic Mapping Method for the two-dimensional incompressible Euler equations
Xi-Yuan Yin, Olivier Mercier, Badal Yadav +2
We propose an efficient semi-Lagrangian method for solving the two-dimensional incompressible Euler equations with high precision on a coarse grid. The new approach evolves the flo…
The Characteristic Mapping Method for the Linear Advection of Arbitrary Sets
Olivier Mercier, Xi-Yuan Yin, Jean-Christophe Nave
We present a new numerical method for transporting arbitrary sets in a velocity field. The method computes a deformation mapping of the domain and advects particular sets by functi…