A truly Newtonian softening length for disc simulations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985815%3A_____%2F15%3A00472788" target="_blank" >RIV/67985815:_____/15:00472788 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1093/mnras/stu2511" target="_blank" >http://dx.doi.org/10.1093/mnras/stu2511</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1093/mnras/stu2511" target="_blank" >10.1093/mnras/stu2511</a>

Result language
angličtina
Original language name
A truly Newtonian softening length for disc simulations
Original language description
The softened point mass model is commonly used in simulations of gaseous discs including self-gravity while the value of associated length. remains, to some degree, controversial. This 'parameter' is however fully constrained when, in a discretized disc, all fluid cells are demanded to obey Newton's law. We examine the topology of solutions in this context, focusing on cylindrical cells more or less vertically elongated. We find that not only the nominal length depends critically on the cell's shape (curvature, radial extension, height), but it is either a real or an imaginary number. Setting. as a fraction of the local disc thickness-as usually done-is indeed not the optimal choice. We then propose a novel prescription valid irrespective of the disc properties and grid spacings. The benefit, which amounts to 2-3 more digits typically, is illustrated in a few concrete cases. A detailed mathematical analysis is in progress.
Czech name
—
Czech description
—

Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BN - Astronomy and celestial mechanics, astrophysics
OECD FORD branch
—

Project
—
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Similar results(10)