Using Cylindrical and Spherical Symmetries in Numerical Simulations of Quasi-Infinite Mechanical Systems
| dc.contributor.author | Filippov, Alexander E. | |
| dc.contributor.author | Popov, Valentin L. | |
| dc.date.accessioned | 2022-08-10T07:39:17Z | |
| dc.date.available | 2022-08-10T07:39:17Z | |
| dc.date.issued | 2022-07-28 | |
| dc.date.updated | 2022-08-03T16:03:09Z | |
| dc.description.abstract | The application of cylindrical and spherical symmetries for numerical studies of many-body problems is presented. It is shown that periodic boundary conditions corresponding to formally cylindrical symmetry allow for reducing the problem of a huge number of interacting particles, minimizing the effect of boundary conditions, and obtaining reasonably correct results from a practical point of view. A physically realizable cylindrical configuration is also studied. The advantages and disadvantages of symmetric realizations are discussed. Finally, spherical symmetry, which naturally realizes a three-dimensional system without boundaries on its two-dimensional surface, is studied. As an example, tectonic dynamics are considered, and interesting patterns resembling real ones are found. It is stressed that perturbations of the axis of planet rotation may be responsible for the formation of such patterns. | en |
| dc.description.sponsorship | TU Berlin, Open-Access-Mittel – 2022 | en |
| dc.identifier.eissn | 2073-8994 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/17327 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-16108 | |
| dc.language.iso | en | en |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en |
| dc.subject.ddc | 620 Ingenieurwissenschaften und zugeordnete Tätigkeiten | de |
| dc.subject.other | cylindrical symmetry | en |
| dc.subject.other | spherical symmetry | en |
| dc.subject.other | periodic boundary conditions | en |
| dc.title | Using Cylindrical and Spherical Symmetries in Numerical Simulations of Quasi-Infinite Mechanical Systems | en |
| dc.type | Article | en |
| dc.type.version | publishedVersion | en |
| dcterms.bibliographicCitation.articlenumber | 1557 | en |
| dcterms.bibliographicCitation.doi | 10.3390/sym14081557 | en |
| dcterms.bibliographicCitation.issue | 8 | en |
| dcterms.bibliographicCitation.journaltitle | Symmetry | en |
| dcterms.bibliographicCitation.originalpublishername | MDPI | en |
| dcterms.bibliographicCitation.originalpublisherplace | Basel | en |
| dcterms.bibliographicCitation.volume | 14 | en |
| tub.accessrights.dnb | free | en |
| tub.affiliation | Fak. 5 Verkehrs- und Maschinensysteme::Inst. Mechanik::FG Systemdynamik und Reibungsphysik | de |
| tub.affiliation.faculty | Fak. 5 Verkehrs- und Maschinensysteme | de |
| tub.affiliation.group | FG Systemdynamik und Reibungsphysik | de |
| tub.affiliation.institute | Inst. Mechanik | de |
| tub.publisher.universityorinstitution | Technische Universität Berlin | en |