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 a Jiří KRTIČKA

Základní údaje

Originální název

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

Autoři

KURFÜRST, Petr (203 Česká republika, garant, domácí) a Jiří KRTIČKA (203 Česká republika, domácí)

Vydání

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

Další údaje

Jazyk

angličtina

Typ výsledku

Článek v odborném periodiku

Obor

10101 Pure mathematics

Stát vydavatele

Česká republika

Utajení

není předmětem státního či obchodního tajemství

Odkazy

URL URL

Impakt faktor

Impact factor: 0.897

Kód RIV

RIV/00216224:14310/17:00095202

Organizační jednotka

Přírodovědecká fakulta

DOI

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

UT WoS

000419946700006

Klíčová slova anglicky

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

Štítky

NZ, rivok

Příznaky

Mezinárodní význam, Recenzováno

Změněno: 12. 4. 2018 15:43, Ing. Nicole Zrilić

Anotace

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.

Návaznosti

GA16-01116S, projekt VaV

Název: Atmosféry a okolohvězdné prostředí magnetických horkých hvězd

Investor: Grantová agentura ČR, Atmosféry a okolohvězdné prostředí magnetických horkých hvězd

LM2010005, projekt VaV

Název: Velká infrastruktura CESNET (Akronym: VI CESNET)

Investor: Ministerstvo školství, mládeže a tělovýchovy ČR, Velká infrastruktura CESNET

Citovat

KURFÜRST, Petr a 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, roč. 62, č. 6, s. 633-659. ISSN 0862-7940. Dostupné z: 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 a 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, roč.~62, č.~6, s.~633-659. ISSN~0862-7940. Dostupné z: https://dx.doi.org/10.21136/AM.2017.0135-17.

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