5 citations · 7 across the 3 of their papers we have counts for
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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…
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…