English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT
 
 
DownloadE-Mail
  High-performance GPU computations in nonlinear dynamics: an efficient tool for new discoveries

Hegedüs, F., Krähling, P., Lauterborn, W., Mettin, R., & Parlitz, U. (2020). High-performance GPU computations in nonlinear dynamics: an efficient tool for new discoveries. Meccanica, 55, 2493-2504. doi:10.1007/s11012-020-01146-w.

Item is

Basic

show hide
Genre: Journal Article

Files

show Files

Locators

show

Creators

show
hide
 Creators:
Hegedüs, Ferenc, Author
Krähling, Péter, Author
Lauterborn, Werner, Author
Mettin, Robert, Author
Parlitz, Ulrich1, Author              
Affiliations:
1Research Group Biomedical Physics, Max Planck Institute for Dynamics and Self-Organization, Max Planck Society, ou_2063288              

Content

show
hide
Free keywords: -
 Abstract: The main aim of this paper is to demonstrate the benefit of the application of high-performance computing techniques in the field of non-linear science through two kinds of dynamical systems as test models. It is shown that high-resolution, multi-dimensional parameter scans (in the order of millions of parameter combinations) via an initial value problem solver are an efficient tool to discover new features of dynamical systems that are hard to find by other means. The employed initial value problem solver is an in-house code written in C++ and CUDA C software environments, which can exploit the high processing power of professional graphics cards (GPUs). The first test model is the Keller–Miksis equation, a non-linear oscillator describing the dynamics of a driven single spherical gas bubble placed in an infinite domain of liquid. This equation is important in the field of cavitation and sonochemistry. Here, the high-resolution parameter scans gave us the opportunity to lay down the basis of a non-feedback technique to control multi-stability in which direct selection of the desired attractor is possible. The second test model is related to a pressure relief valve that can exhibit a special kind of impact dynamics called grazing impact. A fine scan of the initial conditions revealed a second focal point of the grazing lines in the initial-condition space that was hidden in previous studies.

Details

show
hide
Language(s):
 Dates: 2020-03-232020
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: DOI: 10.1007/s11012-020-01146-w
 Degree: -

Event

show

Legal Case

show

Project information

show

Source 1

show
hide
Title: Meccanica
  Abbreviation : Meccanica
Source Genre: Journal
 Creator(s):
Affiliations:
Publ. Info: The Netherlands : Springer Netherlands
Pages: 12 Volume / Issue: 55 Sequence Number: - Start / End Page: 2493 - 2504 Identifier: ISSN: 0025-6455
CoNE: https://pure.mpg.de/cone/journals/resource/0025-6455