Adaptive mesh refinement with spectral accuracy for magnetohydrodynamics in two space dimensions
暂无分享,去创建一个
[1] Vincenzo Carbone,et al. The Solar Wind as a Turbulence Laboratory , 2005 .
[2] R. Stieglitz,et al. Experimental demonstration of a homogeneous two-scale dynamo , 2000 .
[3] Pablo D. Mininni,et al. Parallel Simulations in Turbulent MHD , 2005 .
[4] L. Kovasznay. Laminar flow behind a two-dimensional grid , 1948 .
[5] P D Mininni,et al. Imprint of large-scale flows on turbulence. , 2005, Physical review letters.
[6] P. D. Mininni,et al. A numerical study of the alpha model for two-dimensional magnetohydrodynamic turbulent flows , 2005 .
[7] C. Canuto. Spectral methods in fluid dynamics , 1991 .
[8] Kai Germaschewski,et al. Spectral-element adaptive refinement magnetohydrodynamic simulations of the island coalescence instability , 2006 .
[9] Joel H. Ferziger,et al. Computational methods for fluid dynamics , 1996 .
[10] Paul H. Rutherford,et al. Nonlinear growth of the tearing mode , 1973 .
[11] Aimé Fournier,et al. Exact calculation of Fourier series in nonconforming spectral-element methods , 2005, J. Comput. Phys..
[12] Annick Pouquet,et al. Numerical solutions of the three-dimensional magnetohydrodynamic alpha model. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.
[13] Annick Pouquet,et al. Inertial ranges and resistive instabilities in two‐dimensional magnetohydrodynamic turbulence , 1989 .
[14] A. Patera. A spectral element method for fluid dynamics: Laminar flow in a channel expansion , 1984 .
[15] Francis Loth,et al. Spectral Element Methods for Transitional Flows , 2003 .
[16] R. Henderson,et al. Dynamic refinement algorithms for spectral element methods , 1997 .
[17] Russel E. Caflisch,et al. Remarks on Singularities, Dimension and Energy Dissipation for Ideal Hydrodynamics and MHD , 1997 .
[18] E. M. Lifshitz,et al. Electrodynamics of continuous media , 1961 .
[19] Daniele Carati,et al. Dynamic gradient-diffusion subgrid models for incompressible magnetohydrodynamic turbulence , 2002 .
[20] Aimé Fournier,et al. Geophysical-astrophysical spectral-element adaptive refinement (GASpAR): Object-oriented h-adaptive fluid dynamics simulation , 2006, J. Comput. Phys..
[21] Catherine Mavriplis,et al. Adaptive mesh strategies for the spectral element method , 1992 .
[22] P D Mininni,et al. Small-scale structures in three-dimensional magnetohydrodynamic turbulence. , 2006, Physical review letters.
[23] C. Meneveau,et al. Scale-Invariance and Turbulence Models for Large-Eddy Simulation , 2000 .
[24] S. Orszag,et al. Small-scale structure of two-dimensional magnetohydrodynamic turbulence , 1979, Journal of Fluid Mechanics.
[25] R Volk,et al. Generation of a magnetic field by dynamo action in a turbulent flow of liquid sodium. , 2007, Physical review letters.
[26] Rainer Grauer,et al. Adaptive Mesh Refinement for Singular Current Sheets in Incompressible Magnetohydrodynamic Flows , 1997 .
[27] Tosio Kato,et al. Remarks on the breakdown of smooth solutions for the 3-D Euler equations , 1984 .
[28] M D Nornberg,et al. Observation of a turbulence-induced large scale magnetic field. , 2006, Physical review letters.
[29] Annick Pouquet,et al. Cancellation exponent and multifractal structure in two-dimensional magnetohydrodynamics: direct numerical simulations and Lagrangian averaged modeling. , 2005, Physical review. E, Statistical, nonlinear, and soft matter physics.
[30] William H. Matthaeus,et al. Measurement of the rugged invariants of magnetohydrodynamic turbulence in the solar wind , 1982 .
[31] Paul Fischer,et al. An Overlapping Schwarz Method for Spectral Element Solution of the Incompressible Navier-Stokes Equations , 1997 .
[32] Joel Ferziger,et al. Higher Order Methods for Incompressible Fluid Flow: by Deville, Fischer and Mund, Cambridge University Press, 499 pp. , 2003 .
[33] T Gundrum,et al. Magnetic field saturation in the Riga dynamo experiment. , 2001, Physical review letters.
[34] Pablo D. Mininni,et al. MHD simulations and astrophysical applications , 2005 .
[35] J. Shewchuk. An Introduction to the Conjugate Gradient Method Without the Agonizing Pain , 1994 .
[36] P. Fischer,et al. High-Order Methods for Incompressible Fluid Flow , 2002 .
[37] Cary Forest,et al. Erratum: Observation of a Turbulence-Induced Large Scale Magnetic Field [Phys. Rev. Lett.PRLTAO0031-9007 96, 055002 (2006)] , 2006 .
[38] Walter M. Elsasser,et al. The Hydromagnetic Equations , 1950 .
[39] Francis Loth,et al. Spectral Element Methods for Transitional Flows in Complex Geometries , 2002, J. Sci. Comput..