Apsara: A multi-dimensional unsplit fourth-order explicit Eulerian hydrodynamics code for arbitrary curvilinear grids
作者： Annop Wongwathanarat , Ewald Müller , Hannes Grimm-Strele
DOI: 10.1051/0004-6361/201628205
关键词: Order of accuracy 、 Mathematical analysis 、 Grid 、 Physics 、 Context (language use) 、 Eulerian path 、 Conservation law 、 Nonlinear system 、 Curvilinear coordinates 、 Vortex
摘要: We present a new fourth-order, finite-volume hydrodynamics code named Apsara. The employs high-order, method for mapped coordinates with extensions nonlinear hyperbolic conservation laws. Apsara can handle arbitrary structured curvilinear meshes in three spatial dimensions. has successfully passed several hydrodynamic test problems, including the advection of Gaussian density profile and vortex propagation linear acoustic waves. For these produces fourth-order accurate results case smooth grid mappings. order accuracy is reduced to first-order when using nonsmooth circular mapping. When applying high-order simulations low-Mach number flows, example, Gresho Taylor-Green vortex, we discover that delivers superior codes based on dimensionally split, piecewise parabolic (PPM) widely used astrophysics. Hence, suitable tool simulating highly subsonic flows In first astrophysical application, perform implicit large eddy (ILES) anisotropic turbulence context core collapse supernova (CCSN) obtain similar those previously reported.
arxiv.org
sci-hub.st 参考文章(58)
A. V. Koldoba, M. M. Romanova, G. V. Ustyugova, R. V. E. Lovelace, Three Dimensional MHD Simulations of Accretion to an Inclined Rotator: The "Cubed Sphere" Method arXiv: Astrophysics. ,(2002) , 10.1086/342780
Daikou Shiota, Kanya Kusano, Takahiro Miyoshi, Kazunari Shibata, MHD Modeling for Formation Process of Coronal Mass Ejections: Interaction between Ejecting Flux Rope and Ambient Field arXiv: Solar and Stellar Astrophysics. ,(2010) , 10.1088/0004-637X/718/2/1305
Bernhard Müller, The dynamics of neutrino-driven supernova explosions after shock revival in 2D and 3D Monthly Notices of the Royal Astronomical Society. ,vol. 453, pp. 287- 310 ,(2015) , 10.1093/MNRAS/STV1611
Ernazar Abdikamalov, Christian D. Ott, David Radice, Luke F. Roberts, Roland Haas, Christian Reisswig, Philipp Mösta, Hannah Klion, Erik Schnetter, NEUTRINO-DRIVEN TURBULENT CONVECTION AND STANDING ACCRETION SHOCK INSTABILITY IN THREE-DIMENSIONAL CORE-COLLAPSE SUPERNOVAE The Astrophysical Journal. ,vol. 808, pp. 70- ,(2015) , 10.1088/0004-637X/808/1/70
David Radice, Sean M Couch, Christian D Ott, Implicit large eddy simulations of anisotropic weakly compressible turbulence with application to core-collapse supernovae Computational Astrophysics and Cosmology. ,vol. 2, pp. 7- ,(2015) , 10.1186/S40668-015-0011-0
E. F. Toro, M. Spruce, W. Speares, Restoration of the contact surface in the HLL-Riemann solver Shock Waves. ,vol. 4, pp. 25- 34 ,(1994) , 10.1007/BF01414629
Igor V. Sytine, David H. Porter, Paul R. Woodward, Stephen W. Hodson, Karl-Heinz Winkler, Convergence Tests for the Piecewise Parabolic Method and Navier–Stokes Solutions for Homogeneous Compressible Turbulence Journal of Computational Physics. ,vol. 158, pp. 225- 238 ,(2000) , 10.1006/JCPH.1999.6416
H.C. Yee, M. Vinokur, M.J. Djomehri, Entropy Splitting and Numerical Dissipation Journal of Computational Physics. ,vol. 162, pp. 33- 81 ,(2000) , 10.1006/JCPH.2000.6517
F. K. Röpke, F. K. Röpke, P. V. F. Edelmann, F. Miczek, New numerical solver for flows at various Mach numbers Astronomy and Astrophysics. ,vol. 576, pp. 1- 16 ,(2015) , 10.1051/0004-6361/201425059
Donna A. Calhoun, Christiane Helzel, Randall J. LeVeque, Logically Rectangular Grids and Finite Volume Methods for PDEs in Circular and Spherical Domains Siam Review. ,vol. 50, pp. 723- 752 ,(2008) , 10.1137/060664094