Application of sparse grid combination techniques to low temperature plasmas particle-in-cell simulations. I. Capacitively coupled radio frequency discharges

L Garrigues, B Tezenas du Montcel, G Fubiani… - Journal of Applied …, 2021 - pubs.aip.org
The use of a particle-in-cell (PIC) algorithm with an explicit scheme to model low
temperature plasmas is challenging due to computational time constrains related to …

A stable and mass-conserving sparse grid combination technique with biorthogonal hierarchical basis functions for kinetic simulations

T Pollinger, J Rentrop, D Pflüger, K Kormann - Journal of Computational …, 2023 - Elsevier
The exact numerical simulation of plasma turbulence is one of the assets and challenges in
fusion research. For grid-based solvers, sufficiently fine resolutions are often unattainable …

Sparse grid techniques for particle-in-cell schemes

LF Ricketson, AJ Cerfon - Plasma Physics and Controlled Fusion, 2016 - iopscience.iop.org
We propose the use of sparse grids to accelerate particle-in-cell (PIC) schemes. By using
the so-called'combination technique'from the sparse grids literature, we are able to …

Recent developments in the theory and application of the sparse grid combination technique

M Hegland, B Harding, C Kowitz, D Pflüger… - Software for Exascale …, 2016 - Springer
Substantial modifications of both the choice of the grids, the combination coefficients, the
parallel data structures and the algorithms used for the combination technique lead to …

Complex scientific applications made fault-tolerant with the sparse grid combination technique

MM Ali, PE Strazdins, B Harding… - … International Journal of …, 2016 - journals.sagepub.com
Ultra-large–scale simulations via solving partial differential equations (PDEs) require very
large computational systems for their timely solution. Studies shown the rate of failure grows …

Acceleration of rovibrational spectrum calculations through sparsity techniques

S Das, G Rauhut - The Journal of Chemical Physics, 2024 - pubs.aip.org
The variational calculation of microwave or high-resolution rovibrational spectra is
hampered by large memory requirements and long computation times. Simple sparsity …

A highly scalable, algorithm-based fault-tolerant solver for gyrokinetic plasma simulations

M Obersteiner, AP Hinojosa, M Heene… - Proceedings of the 8th …, 2017 - dl.acm.org
With future exascale computers expected to have millions of compute units distributed
among thousands of nodes, system faults are predicted to become more frequent. Fault …

[PDF][PDF] A massively parallel combination technique for the solution of high-dimensional PDEs

M Heene - 2018 - core.ac.uk
The solution of high-dimensional problems, especially high-dimensional partial differential
equations (PDEs) that require the joint discretization of more than the usual three spatial …

Towards a fault-tolerant, scalable implementation of GENE

AP Hinojosa, C Kowitz, M Heene, D Pflüger… - Recent Trends in …, 2015 - Springer
We consider the HPC challenge of fault tolerance in the context of plasma physics
simulations using the sparse grid combination technique. In the combination technique …

Block-structured grids in full velocity space for Eulerian gyrokinetic simulations

D Jarema, HJ Bungartz, T Görler, F Jenko… - Computer Physics …, 2017 - Elsevier
Abstract Global, ie, full-torus, gyrokinetic simulations play an important role in exploring
plasma microturbulence in magnetic fusion devices with strong radial variations. In the …