Time-dependent numerical modeling of large-scale astrophysical
processes: from relatively smooth flows to explosive events
with extremely large discontinuities and high Mach numbers

J 2017

Time-dependent numerical modeling of large-scale astrophysical processes: from relatively smooth flows to explosive events with extremely large discontinuities and high Mach numbers

KURFÜRST, Petr and Jiří KRTIČKA

Basic information

Original name

Time-dependent numerical modeling of large-scale astrophysical processes: from relatively smooth flows to explosive events with extremely large discontinuities and high Mach numbers

Authors

KURFÜRST, Petr (203 Czech Republic, guarantor, belonging to the institution) and Jiří KRTIČKA (203 Czech Republic, belonging to the institution)

Edition

Applications of Mathematics, Praha, ACAD SCIENCES CZECH REPUBLIC, 2017, 0862-7940

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Czech Republic

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

URL URL

Impact factor

Impact factor: 0.897

RIV identification code

RIV/00216224:14310/17:00095202

Organization unit

Faculty of Science

DOI

http://dx.doi.org/10.21136/AM.2017.0135-17

UT WoS

000419946700006

Keywords in English

Eulerian hydrodynamics; finite volume; operator-split method; unsplit method; Roe's method; curvilinear coordinates

Abstract

V originále

We calculate self-consistent time-dependent models of astrophysical processes. We have developed two types of our own (magneto) hydrodynamic codes, either the operator-split, finite volume Eulerian code on a staggered grid for smooth hydrodynamic flows, or the finite volume unsplit code based on the Roe's method for explosive events with extremely large discontinuities and highly supersonic outbursts. Both the types of the codes use the second order Navier-Stokes viscosity to realistically model the viscous and dissipative effects. They are transformed to all basic orthogonal curvilinear coordinate systems as well as to a special non-orthogonal geometric system that fits to modeling of astrophysical disks. We describe mathematical background of our codes and their implementation for astrophysical simulations, including choice of initial and boundary conditions. We demonstrate some calculated models and compare the practical usage of numerically different types of codes.

Links

GA16-01116S, research and development project

Name: Atmosféry a okolohvězdné prostředí magnetických horkých hvězd

Investor: Czech Science Foundation

LM2010005, research and development project

Name: Velká infrastruktura CESNET (Acronym: VI CESNET)

Investor: Ministry of Education, Youth and Sports of the CR

Citovat

KURFÜRST, Petr and Jiří KRTIČKA. Time-dependent numerical modeling of large-scale astrophysical processes: from relatively smooth flows to explosive events with extremely large discontinuities and high Mach numbers. Applications of Mathematics. Praha: ACAD SCIENCES CZECH REPUBLIC, 2017, vol. 62, No 6, p. 633-659. ISSN 0862-7940. Available from: https://dx.doi.org/10.21136/AM.2017.0135-17.

@article{1396434,
   author = {Kurfürst, Petr and Krtička, Jiří},
   article_location = {Praha},
   article_number = {6},
   doi = {http://dx.doi.org/10.21136/AM.2017.0135-17},
   keywords = {Eulerian hydrodynamics; finite volume; operator-split method; unsplit method; Roe's method; curvilinear coordinates},
   language = {eng},
   issn = {0862-7940},
   journal = {Applications of Mathematics},
   title = {Time-dependent numerical modeling of large-scale astrophysical processes: from relatively smooth flows to explosive events with extremely large discontinuities and high Mach numbers},
   url = {http://am.math.cas.cz/},
   volume = {62},
   year = {2017}
}

TY  - JOUR
ID  - 1396434
AU  - Kurfürst, Petr - Krtička, Jiří
PY  - 2017
TI  - Time-dependent numerical modeling of large-scale astrophysical processes: from relatively smooth flows to explosive events with extremely large discontinuities and high Mach numbers
JF  - Applications of Mathematics
VL  - 62
IS  - 6
SP  - 633-659
EP  - 633-659
PB  - ACAD SCIENCES CZECH REPUBLIC
SN  - 08627940
KW  - Eulerian hydrodynamics
KW  - finite volume
KW  - operator-split method
KW  - unsplit method
KW  - Roe's method
KW  - curvilinear coordinates
UR  - http://am.math.cas.cz/
L2  - http://am.math.cas.cz/
N2  - We calculate self-consistent time-dependent models of astrophysical processes. We have developed two types of our own (magneto) hydrodynamic codes, either the operator-split, finite volume Eulerian code on a staggered grid for smooth hydrodynamic flows, or the finite volume unsplit code based on the Roe's method for explosive events with extremely large discontinuities and highly supersonic outbursts. Both the types of the codes use the second order Navier-Stokes viscosity to realistically model the viscous and dissipative effects. They are transformed to all basic orthogonal curvilinear coordinate systems as well as to a special non-orthogonal geometric system that fits to modeling of astrophysical disks. We describe mathematical background of our codes and their implementation for astrophysical simulations, including choice of initial and boundary conditions. We demonstrate some calculated models and compare the practical usage of numerically different types of codes.
ER  -

KURFÜRST, Petr and Jiří KRTIČKA. Time-dependent numerical modeling of large-scale astrophysical processes: from relatively smooth flows to explosive events with extremely large discontinuities and high Mach numbers. \textit{Applications of Mathematics}. Praha: ACAD SCIENCES CZECH REPUBLIC, 2017, vol.~62, No~6, p.~633-659. ISSN~0862-7940. Available from: https://dx.doi.org/10.21136/AM.2017.0135-17.

Detailed Information on Publication Record