Racoon: A parallel mesh-adaptive framework for hyperbolic conservation laws

Parallel Computing

Volumn 31, Issue 8-9, 2005, Pages 913-932

  Dreher, Jürgen ^a   Grauer, Rainer ^a  

^a RUHR UNIVERSITY BOCHUM   (Germany)

Author keywords

AMR; Hybrid parallelization; Load balancing; Mesh refinement; MPI; Multi thread

Indexed keywords

COMPRESSIBILITY OF GASES; COMPUTATIONAL METHODS; CONSERVATION; GAS DYNAMICS; MAGNETOHYDRODYNAMICS; NUMERICAL METHODS; RUNGE KUTTA METHODS;

AMR; HYBRID PARALLELIZATION; LOAD BALANCING; MESH REFINEMENT; MPI; MULTI-THREAD;

PARALLEL PROCESSING SYSTEMS;

EID: 25644453401     PISSN: 01678191     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.parco.2005.04.011     Document Type: Article

References (25)

1. M.J. Berger, and P. Collela Local adaptive mesh refinement for shock hydrodynamics J. Computat. Phys. 82 1989 64
2. M. Parashar, J.C. Brown. Available from: 〈http://www.caip.rutgers. edu/parashar/DAGH〉.
3. B. Fryxell, K. Olson, P. Ricker, F.X. Timmes, M. Zingale, D.Q. Lamb, P. MacNeice, R. Rosner, J.W. Truran, and H. Tufo FLASH: an adaptive mesh hydrodynamics code for modeling astrophysical thermonuclear flashes Astrophys. J. 131 2000 273
4. H. Friedel, R. Grauer, and C. Marliani Adaptive mesh refinement for singular current sheets in incompressible magnetohydrodynamic flows J. Computat. Phys. 134 1997 190
5. P.D. Lax Weak solutions of nonlinear hyperbolic equations and their numerical computation Commun. Pure Appl. Math. 7 1954 159
6. S.K. Godunov A finite difference method for the numerical computation of discontinous solutions of the equations of fluid dynamics Mat. Sb. 47 1959 271
7. R. Grauer, and C. Marliani Current sheet formation in 3D ideal incompressible magnetohydrodynamics Physica D 151 2001 175
8. R. Grauer, C. Marliani, and K. Germaschewski Adaptive mesh refinement for singular solutions of the incompressible Euler equations Phys. Rev. Lett. 84 1998 4850
9. C.P. Groth, D.L. De Zeeuw, T.I. Gombosi, and K.G. Powell Global 3D MHD simulation of a space weather event: CME formation, interplanetary propagation, and interaction with the magnetosphere J. Geophys. Res. 105 2000 25053
10. D. Hilbert Über die stetige Abbildung einer Linie auf ein Flächenstück Math. Ann. 38 1891 459
11. R. Keppens, M. Nool, G. Toth, and J.P. Goedbloed Adaptive mesh refinement for conservative systems: multi-dimensional efficiency evaluation Comput. Phys. Commun. 153 2003 317
12. R. Keppens, G. Tóth, OpenMP parallelism for multi-dimensional grid-adaptive magnetohydrodynamic simulations, in: Proceedings of 2nd International Conference on Computational Science, 2002.
13. A. Kurganov, and E. Tadmor New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations J. Computat. Phys. 160 2000 241
14. P. MacNeice, K.M. Olson, C. Mobarry, R. de Fainchtein, and C. Packer PARAMESH: a parallel adaptive mesh refinement community toolkit Comput. Phys Commun. 126 2000 330
15. H. Nessyahu, and E. Tadmor Non-oscillatory central differencing methods for hyperbolic conservation laws J. Computat. Phys. 87 1990 408
16. K.G. Powell, P.L. Roe, T.J. Linde, T.I. Gombosi, and D.L. De Zeeuw A solution-adaptive upwind scheme for ideal magnetohydrodynamics J. Computat. Phys. 154 1999 284
17. P.L. Roe Approximate Riemann solvers, parameter vectors, and difference schemes J. Computat. Phys. 43 1981 357
18. SAMRAI: development project at LLNL. Available from: 〈http://www. llnl.gov/CASC/SAMRAI〉.
19. O. Steiner, M. Knölker, and M. Schüssler Dynamic interaction of convection with magnetic flux sheets: first results R.J. Rutten C.J. Schriver Solar surface magnetism NATO ASI series C vol. 433 1994 Kluwer
20. G. Tóth General code for modeling MHD flows on parallel computers: versatile advection code Astrophys. Lett. Commun. 34 1996 245
21. E.F. Toro A weighted average flux method for hyperbolic conservation laws Proc. R. Soc. London A 423 1989 401
22. P. Woodward, and P. Colella The piecewise parabolic method (PPM) for gas-dynamical simulations J. Computat. Phys. 54 1984 115
23. U. Ziegler The effect of rotation on the buoyant rise of magnetic flux tubes in accretion disks Astron. Astrophys. 367 2001 170
24. G.W. Zumbusch On the quality of space-filling curve induced partitions Z. Angew. Math. Mech. 81 2001 25
25. G.W. Zumbusch Parallel multilevel methods. Adaptive Mesh Refinement and Loadbalancing 2003 Teubner