5 citations · 11 across the 7 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 explores a…
Revisiting kinetic electrostatic electron non-linear (KEEN) waves in the presence of dynamical ions
Rostislav-Paul Wilhelm, Philipp Krah, Kai Schneider +2
We revisit the kinetic electrostatic electron nonlinear (KEEN) waves studied by Afeyan et. al in 2014 using a hybrid flow-mapping strategy that combines the characteristic mapping…
Autoregressive prediction of 2D MHD dynamics inferred from deep learning modeling
David Kivarkis, Waleed Mouhali, Sadruddin Benkadda +1
We develop two deep learning surrogate autoregressive models for the prediction of the temporal evolution of two-dimensional ideal magnetohydrodynamic (MHD) Kelvin-Helmholtz instab…
A Hybrid semi-Lagrangian Flow Mapping Approach for Vlasov Systems: Combining Iterative and Compositional Flow Maps
Philipp Krah, Zetao Lin, R. -Paul Wilhelm +4
We propose a hybrid semi-Lagrangian scheme for the Vlasov--Poisson equation that combines the Numerical Flow Iteration (NuFI) method with the Characteristic Mapping Method (CMM). B…
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…
Automated transport separation using the neural shifted proper orthogonal decomposition
Beata Zorawski, Shubhaditya Burela, Philipp Krah +2
This paper presents a neural network-based methodology for the decomposition of transport-dominated fields using the shifted proper orthogonal decomposition (sPOD). Classical sPOD…
A robust shifted proper orthogonal decomposition: Proximal methods for decomposing flows with multiple transports
Philipp Krah, Arthur Marmin, Beata Zorawski +2
We present a new methodology for decomposing flows with multiple transports that further extends the shifted proper orthogonal decomposition (sPOD). The sPOD tries to approximate t…
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…