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|Title:||Adaptive moving mesh methods for two-dimensional resistive magneto-hydrodynamic PDE models||Authors:||Tan, Z.||Issue Date:||May-2007||Citation:||Tan, Z. (2007-05). Adaptive moving mesh methods for two-dimensional resistive magneto-hydrodynamic PDE models. Computers and Fluids 36 (4) : 758-771. ScholarBank@NUS Repository. https://doi.org/10.1016/j.compfluid.2006.04.005||Abstract:||An adaptive moving mesh technique is applied to magneto-hydrodynamics (MHD) model problem. The moving mesh strategy is based on the approach proposed in Li et al. [Li R, Tang T, Zhang P. Moving mesh methods in multiple dimensions based on harmonic maps. J Comput Phys 2001;170:562-88] to separate the mesh-moving and PDE evolution at each time step. The Magneto-hydrodynamic equations are discretized by a finite-volume method in space, and the mesh-moving part is realized by solving the Euler-Lagrange equations to minimize a certain variation with the directional splitting monitor function. A conservative interpolation is used to redistribute the numerical solutions on the new meshes. Numerical results demonstrate the accuracy and effectiveness of the proposed algorithm. © 2006 Elsevier Ltd. All rights reserved.||Source Title:||Computers and Fluids||URI:||http://scholarbank.nus.edu.sg/handle/10635/114612||ISSN:||00457930||DOI:||10.1016/j.compfluid.2006.04.005|
|Appears in Collections:||Staff Publications|
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