Application of sparse grid combination techniques to low temperature plasmas particle-in-cell simulations. I. Capacitively coupled radio frequency discharges
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 …
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
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 …
fusion research. For grid-based solvers, sufficiently fine resolutions are often unattainable …
Sparse grid techniques for particle-in-cell schemes
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 …
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
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 …
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
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 …
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 …
hampered by large memory requirements and long computation times. Simple sparsity …
A highly scalable, algorithm-based fault-tolerant solver for gyrokinetic plasma simulations
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 …
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 …
equations (PDEs) that require the joint discretization of more than the usual three spatial …
Towards a fault-tolerant, scalable implementation of GENE
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 …
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 …
plasma microturbulence in magnetic fusion devices with strong radial variations. In the …