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@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, vol.~62, No~6, p.~633-659. ISSN~0862-7940. doi:10.21136/AM.2017.0135-17. 2017.
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