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. |
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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 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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