메뉴 건너뛰기




Volumn 226, Issue 1, 2007, Pages 925-946

Hybrid block-AMR in cartesian and curvilinear coordinates: MHD applications

Author keywords

Adaptive mesh refinement; Curvilinear coordinates; Magnetohydrodynamics

Indexed keywords

APPLICATION PROGRAMMING INTERFACES (API); MESH GENERATION;

EID: 34548390526     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2007.05.007     Document Type: Article
Times cited : (84)

References (42)
  • 1
    • 1842764950 scopus 로고    scopus 로고
    • Second-order accurate schemes for magnetohydrodynamics with divergence-free reconstruction
    • Balsara D.S. Second-order accurate schemes for magnetohydrodynamics with divergence-free reconstruction. Astrophys. J. Suppl. Ser. 151 (2004) 149
    • (2004) Astrophys. J. Suppl. Ser. , vol.151 , pp. 149
    • Balsara, D.S.1
  • 2
    • 0345790267 scopus 로고    scopus 로고
    • The two-dimensional magnetohydrodynamic Kelvin-Helmholtz instability: compressibility and large-scale coalescence effects
    • Baty H., Keppens R., and Comte P. The two-dimensional magnetohydrodynamic Kelvin-Helmholtz instability: compressibility and large-scale coalescence effects. Phys. Plasmas. 10 (2003) 4661
    • (2003) Phys. Plasmas. , vol.10 , pp. 4661
    • Baty, H.1    Keppens, R.2    Comte, P.3
  • 3
    • 0000843403 scopus 로고
    • Three-dimensional adaptive mesh refinement for hyperbolic conservation laws
    • Bell J., Berger M., Saltzman J., and Welcome M. Three-dimensional adaptive mesh refinement for hyperbolic conservation laws. SIAM J. Sci. Comp. 15 (1994) 127
    • (1994) SIAM J. Sci. Comp. , vol.15 , pp. 127
    • Bell, J.1    Berger, M.2    Saltzman, J.3    Welcome, M.4
  • 4
    • 0005310928 scopus 로고
    • Data structures for adaptive grid generation
    • Berger M.J. Data structures for adaptive grid generation. SIAM J. Sci. Stat. Comput. 7 (1986) 904
    • (1986) SIAM J. Sci. Stat. Comput. , vol.7 , pp. 904
    • Berger, M.J.1
  • 5
    • 11744289966 scopus 로고
    • Local adaptive mesh refinement for shock hydrodynamics
    • Berger M.J., and Colella P. Local adaptive mesh refinement for shock hydrodynamics. J. Comput. Phys. 82 (1989) 64
    • (1989) J. Comput. Phys. , vol.82 , pp. 64
    • Berger, M.J.1    Colella, P.2
  • 7
    • 85189850551 scopus 로고    scopus 로고
    • J. Bergmans, R. Keppens, D.E.A. van Odyck, A. Achterberg, Simulations of relativistic astrophysical flows, in: T. Plewa, T. Linde, V.G. Weirs (Eds.), Adaptive Mesh Refinement - Theory and Applications, Lect. Not. Comp. Sci. Eng., vol. 41, 2005, pp. 223.
  • 8
    • 85189845874 scopus 로고    scopus 로고
    • Berkeley Lab AMR homepage. .
  • 10
    • 12944281538 scopus 로고    scopus 로고
    • Astroparticle yield and transport from extragalactic jet terminal shocks
    • Casse F., and Marcowith A. Astroparticle yield and transport from extragalactic jet terminal shocks. Astroparticle Phys. 23 (2005) 31
    • (2005) Astroparticle Phys. , vol.23 , pp. 31
    • Casse, F.1    Marcowith, A.2
  • 11
    • 33646935170 scopus 로고    scopus 로고
    • A robust moving mesh finite volume method applied to 1D hyperbolic conservation laws from magnetohydrodynamics
    • van Dam A., and Zegeling P.A. A robust moving mesh finite volume method applied to 1D hyperbolic conservation laws from magnetohydrodynamics. J. Comput. Phys. 216 (2006) 526
    • (2006) J. Comput. Phys. , vol.216 , pp. 526
    • van Dam, A.1    Zegeling, P.A.2
  • 12
    • 0002649302 scopus 로고    scopus 로고
    • Stationary two-dimensional magnetohydrodynamic flows with shocks: characteristic analysis and grid convergence study
    • De Sterck H., Csik A., Vanden Abeele D., Poedts S., and Deconinck H. Stationary two-dimensional magnetohydrodynamic flows with shocks: characteristic analysis and grid convergence study. J. Comput. Phys. 166 (2001) 28
    • (2001) J. Comput. Phys. , vol.166 , pp. 28
    • De Sterck, H.1    Csik, A.2    Vanden Abeele, D.3    Poedts, S.4    Deconinck, H.5
  • 13
    • 28144436430 scopus 로고
    • An adaptive refined cartesian mesh solver for the Euler equations
    • De Zeeuw D., and Powell K.G. An adaptive refined cartesian mesh solver for the Euler equations. J. Comput. Phys. 104 (1993) 56
    • (1993) J. Comput. Phys. , vol.104 , pp. 56
    • De Zeeuw, D.1    Powell, K.G.2
  • 14
    • 25644453401 scopus 로고    scopus 로고
    • Racoon: a parallel mesh-adaptive framework for hyperbolic conservation laws
    • Dreher J., and Grauer R. Racoon: a parallel mesh-adaptive framework for hyperbolic conservation laws. Par. Comp. 31 (2005) 913
    • (2005) Par. Comp. , vol.31 , pp. 913
    • Dreher, J.1    Grauer, R.2
  • 15
    • 0000194504 scopus 로고
    • Simulation of magnetohydrodynamic flows - a constrained transport method
    • Evans C.R., and Hawley J.F. Simulation of magnetohydrodynamic flows - a constrained transport method. Astrophys. J. 332 (1988) 659
    • (1988) Astrophys. J. , vol.332 , pp. 659
    • Evans, C.R.1    Hawley, J.F.2
  • 16
    • 85189848898 scopus 로고    scopus 로고
    • FLASH user guide. .
  • 17
    • 0031161659 scopus 로고    scopus 로고
    • Adaptive mesh refinement for singular current sheets in incompressible magnetohydrodynamic flows
    • Friedel H., Grauer R., and Marliani C. Adaptive mesh refinement for singular current sheets in incompressible magnetohydrodynamic flows. J. Comput. Phys. 134 (1997) 190
    • (1997) J. Comput. Phys. , vol.134 , pp. 190
    • Friedel, H.1    Grauer, R.2    Marliani, C.3
  • 18
    • 0000383154 scopus 로고    scopus 로고
    • Adaptive mesh and algorithm refinement using direct simulation Monte Carlo
    • Garcia A.L., Bell J.B., Crutchfield W.Y., and Alder B.J. Adaptive mesh and algorithm refinement using direct simulation Monte Carlo. J. Comput. Phys. 154 (1999) 134
    • (1999) J. Comput. Phys. , vol.154 , pp. 134
    • Garcia, A.L.1    Bell, J.B.2    Crutchfield, W.Y.3    Alder, B.J.4
  • 19
    • 85189845363 scopus 로고    scopus 로고
    • T.I. Gombosi, K.G. Powell, D.L. de Zeeuw, C.R. Clauer, K.C. Hansen, W.B. Manchester, A.J. Ridley, I.I. Roussev, I.V. Sokolov, Q.F. Stout, G. Tóth, Solution-adaptive magnetohydrodynamics for space plasmas: sun-to-earth simulations, Comput. Sci. Eng. March/April issue, 14 (2004).
  • 20
    • 39449135110 scopus 로고    scopus 로고
    • Global three-dimensional MHD simulation of a space weather event: CME formation, interplanetary propagation, and interaction with the magnetosphere
    • Groth C.P.T., De Zeeuw D.L., Gombosi T.I., and Powell K.G. Global three-dimensional MHD simulation of a space weather event: CME formation, interplanetary propagation, and interaction with the magnetosphere. J. Geophys. Res. 105 (2000) 25053
    • (2000) J. Geophys. Res. , vol.105 , pp. 25053
    • Groth, C.P.T.1    De Zeeuw, D.L.2    Gombosi, T.I.3    Powell, K.G.4
  • 21
    • 40749159424 scopus 로고
    • High resolution schemes for hyperbolic conservation laws
    • Harten A. High resolution schemes for hyperbolic conservation laws. J. Comput. Phys. 49 (1983) 357
    • (1983) J. Comput. Phys. , vol.49 , pp. 357
    • Harten, A.1
  • 22
    • 33646249384 scopus 로고    scopus 로고
    • The effect of the solar wind on CME triggering by magnetic foot point shearing
    • Jacobs C., Poedts S., and van der Holst B. The effect of the solar wind on CME triggering by magnetic foot point shearing. Astron. Astrophys. 450 (2006) 793
    • (2006) Astron. Astrophys. , vol.450 , pp. 793
    • Jacobs, C.1    Poedts, S.2    van der Holst, B.3
  • 23
    • 85189844337 scopus 로고    scopus 로고
    • R. Keppens, Z. Meliani, Grid-adaptive simulations of relativistic flows, in: Proceedings of ICCFD4, July 2006, Ghent, Belgium.
  • 25
    • 4344669740 scopus 로고    scopus 로고
    • A novel approach of divergence-free reconstruction for adaptive mesh refinement
    • Li S., and Li H. A novel approach of divergence-free reconstruction for adaptive mesh refinement. J. Comput. Phys. 199 (2004) 1
    • (2004) J. Comput. Phys. , vol.199 , pp. 1
    • Li, S.1    Li, H.2
  • 26
    • 0002300781 scopus 로고
    • A method for incorportaing Gauss' law into electromagnetic PIC codes
    • Marder B. A method for incorportaing Gauss' law into electromagnetic PIC codes. J. Comput. Phys. 68 (1987) 48
    • (1987) J. Comput. Phys. , vol.68 , pp. 48
    • Marder, B.1
  • 27
    • 33744828973 scopus 로고    scopus 로고
    • Relativistic MHD simulations of jets with toroidal magnetic fields
    • Mignone A., Massaglia S., and Bodo G. Relativistic MHD simulations of jets with toroidal magnetic fields. Space Sci. Rev. 121 (2005) 21
    • (2005) Space Sci. Rev. , vol.121 , pp. 21
    • Mignone, A.1    Massaglia, S.2    Bodo, G.3
  • 28
    • 0038487249 scopus 로고    scopus 로고
    • Adaptive mesh refinement for conservative systems: multi-dimensional efficiency evaluation
    • Keppens R., Nool M., Tóth G., and Goedbloed J.P. Adaptive mesh refinement for conservative systems: multi-dimensional efficiency evaluation. Comput. Phys. Commun. 153 (2003) 317
    • (2003) Comput. Phys. Commun. , vol.153 , pp. 317
    • Keppens, R.1    Nool, M.2    Tóth, G.3    Goedbloed, J.P.4
  • 30
    • 0000187363 scopus 로고
    • Dynamics of the interplanetary gas and magnetic fields
    • Parker E.N. Dynamics of the interplanetary gas and magnetic fields. Astrophys. J. 128 (1958) 664
    • (1958) Astrophys. J. , vol.128 , pp. 664
    • Parker, E.N.1
  • 31
    • 0028386735 scopus 로고
    • A contribution to the great Riemann solver debate
    • Quirk J.J. A contribution to the great Riemann solver debate. Int. J. Numer. Methods Fl. 18 (1994) 555
    • (1994) Int. J. Numer. Methods Fl. , vol.18 , pp. 555
    • Quirk, J.J.1
  • 32
    • 0345266776 scopus 로고
    • The calculation of the interaction of non-stationary shock waves and obstacles
    • Rusanov V.V. The calculation of the interaction of non-stationary shock waves and obstacles. USSR Comput. Math. Math. Phys. 1 (1961) 304
    • (1961) USSR Comput. Math. Math. Phys. , vol.1 , pp. 304
    • Rusanov, V.V.1
  • 33
    • 85189846567 scopus 로고    scopus 로고
    • SAMRAI Project at LLNL. .
  • 34
    • 0242679688 scopus 로고    scopus 로고
    • Non-uniform convergence of finite volume schemes for Riemann problems of ideal magnetohydrodynamics
    • Torrilhon M. Non-uniform convergence of finite volume schemes for Riemann problems of ideal magnetohydrodynamics. J. Comput. Phys. 192 (2003) 73
    • (2003) J. Comput. Phys. , vol.192 , pp. 73
    • Torrilhon, M.1
  • 35
    • 0242718378 scopus 로고    scopus 로고
    • Uniqueness conditions for Riemann problems of ideal magnetohydrodynamics
    • Torrilhon M. Uniqueness conditions for Riemann problems of ideal magnetohydrodynamics. J. Plasma Phys. 69 (2003) 253
    • (2003) J. Plasma Phys. , vol.69 , pp. 253
    • Torrilhon, M.1
  • 36
    • 8744230911 scopus 로고    scopus 로고
    • High order WENO schemes: investigations on non-uniform convergence for MHD Riemann problems
    • Torrillhon M., and Balsara D.S. High order WENO schemes: investigations on non-uniform convergence for MHD Riemann problems. J. Comput. Phys. 201 (2004) 586
    • (2004) J. Comput. Phys. , vol.201 , pp. 586
    • Torrillhon, M.1    Balsara, D.S.2
  • 37
    • 0002960399 scopus 로고    scopus 로고
    • The LASY preprocessor and its application to general multi-dimensional codes
    • Tóth G. The LASY preprocessor and its application to general multi-dimensional codes. J. Comput. Phys. 138 (1997) 981
    • (1997) J. Comput. Phys. , vol.138 , pp. 981
    • Tóth, G.1
  • 38
    • 21444448345 scopus 로고    scopus 로고
    • A general code for modeling MHD flows on parallel computers: versatile advection code
    • See
    • Tóth G. A general code for modeling MHD flows on parallel computers: versatile advection code. Astrophys. Lett. Commun. 34 (1996) 245. http://www.phys.uu.nl/~toth See
    • (1996) Astrophys. Lett. Commun. , vol.34 , pp. 245
    • Tóth, G.1
  • 39
    • 0030268703 scopus 로고    scopus 로고
    • Comparison of some flux corrected transport and total variation diminishing numerical schemes for hydrodynamic and magnetohydrodynamic problems
    • Tóth G., and Odstrčil D. Comparison of some flux corrected transport and total variation diminishing numerical schemes for hydrodynamic and magnetohydrodynamic problems. J. Comput. Phys. 128 (1996) 82
    • (1996) J. Comput. Phys. , vol.128 , pp. 82
    • Tóth, G.1    Odstrčil, D.2
  • 40
    • 48749139407 scopus 로고
    • The numerical simulation of two-dimensional fluid flow with strong shocks
    • Woodward P.R., and Colella P. The numerical simulation of two-dimensional fluid flow with strong shocks. J. Comput. Phys. 54 (1984) 174
    • (1984) J. Comput. Phys. , vol.54 , pp. 174
    • Woodward, P.R.1    Colella, P.2
  • 41
    • 85189848764 scopus 로고    scopus 로고
    • H.C. Yee, A class of high-resolution explicit and implicit shock-capturing methods, NASA TM-101088, 1989.
  • 42
    • 18744394351 scopus 로고    scopus 로고
    • Self-gravitational adaptive mesh magnetohydrodynamics with the NIRVANA code
    • Ziegler U. Self-gravitational adaptive mesh magnetohydrodynamics with the NIRVANA code. Astron. Astrophys. 435 (2005) 385
    • (2005) Astron. Astrophys. , vol.435 , pp. 385
    • Ziegler, U.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.