90 citations · 1k across the 88 of their papers we have counts for
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Accelerating the simulation of kinetic shear Alfvén waves with a dynamical low-rank approximation
Lukas Einkemmer
We propose a dynamical low-rank algorithm for a gyrokinetic model that is used to describe strongly magnetized plasmas. The low-rank approximation is based on a decomposition into…
A semi-Lagrangian discontinuous Galerkin method for drift-kinetic simulations on GPUs
Lukas Einkemmer, Alexander Moriggl
In this paper, we demonstrate the efficiency of using semi-Lagrangian discontinuous Galerkin methods to solve the drift-kinetic equation using graphic processing units (GPUs). In t…
Semi-Lagrangian 4d, 5d, and 6d kinetic plasma simulation on large scale GPU equipped supercomputer
Lukas Einkemmer, Alexander Moriggl
Running kinetic plasma physics simulations using grid-based solvers is very demanding both in terms of memory as well as computational cost. This is primarily due to the up to six-…
Semi-Lagrangian Vlasov simulation on GPUs
Lukas Einkemmer
In this paper, our goal is to efficiently solve the Vlasov equation on GPUs. A semi-Lagrangian discontinuous Galerkin scheme is used for the discretization. Such kinetic computatio…
Reproducibility, accuracy and performance of the Feltor code and library on parallel computer architectures
Matthias Wiesenberger, Lukas Einkemmer, Markus Held +3
Feltor is a modular and free scientific software package. It allows developing platform independent code that runs on a variety of parallel computer architectures ranging from lapt…
Streamline integration as a method for structured grid generation in X-point geometry
M. Wiesenberger, M. Held, L. Einkemmer +1
We investigate structured grids aligned to the contours of a two-dimensional flux-function with an X-point (saddle point). Our theoretical analysis finds that orthogonal grids exis…
Magnus integrators on multicore CPUs and GPUs
N. Auer, L. Einkemmer, P. Kandolf +1
In the present paper we consider numerical methods to solve the discrete Schrödinger equation with a time dependent Hamiltonian (motivated by problems encountered in the study of s…
An exponential integrator for the drift-kinetic model
Nicolas Crouseilles, Lukas Einkemmer, Martina Prugger
We propose an exponential integrator for the drift-kinetic equation in cylindrical geometry. This approach removes the CFL condition from the linear part of the system (which is of…
ADI type preconditioners for the steady state inhomogeneous Vlasov equation
Markus Gasteiger, Lukas Einkemmer, Alexander Ostermann +1
The purpose of the current work is to find numerical solutions of the steady state inhomogeneous Vlasov equation. This problem has a wide range of applications in the kinetic simul…
High performance computing aspects of a dimension independent semi-Lagrangian discontinuous Galerkin code
Lukas Einkemmer
The recently developed semi-Lagrangian discontinuous Galerkin approach is used to discretize hyperbolic partial differential equations (usually first order equations). Since these…
A splitting approach for the Kadomtsev--Petviashvili equation
Lukas Einkemmer, Alexander Ostermann
We consider a splitting approach for the Kadomtsev--Petviashvili equation with periodic boundary conditions and show that the necessary interpolation procedure can be efficiently i…
A strategy to suppress recurrence in grid-based Vlasov solvers
Lukas Einkemmer, Alexander Ostermann
In this paper we propose a strategy to suppress the recurrence effect present in grid-based Vlasov solvers. This method is formulated by introducing a cutoff frequency in Fourier s…
A conservative discontinuous Galerkin scheme for the 2D incompressible Navier--Stokes equations
Lukas Einkemmer, Matthias Wiesenberger
In this paper we consider a conservative discretization of the two-dimensional incompressible Navier--Stokes equations. We propose an extension of Arakawa's classical finite differ…