An Iterative Grid Redistribution Method for Singular Problems in Multiple Dimensions

By Weiqing Ren, Xiao Ping Wang. 2000

121 citations recorded by the source corpus.

How researchers see this paper

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An efficient dynamically adaptive mesh for potentially singular solutions (2001, methodology): “The adaptive mesh can also be static or dynamic (continuously moving) [1, 3, 22, 33, 37, 39, 40, 44].”
A variational approach to moving contact line hydrodynamics (2006, methodology): “For this purpose, we have employed the adaptive method based on iterative grid redistribution (Ren & Wang 2000).”
A Moving Mesh Finite Element Algorithm for Singular Problems in Two and Three Space Dimensions (2002, background): “Some useful applications based on various moving mesh techniques can be found in a number of papers, including [3, 11, 28, 31] for computational fluid dynamics, [12, 18] for computational geometry and [27] for simulations of the reactive flows.”
Adaptivity with moving grids (2009, background): “…(Huang and Zhan 2004, Huang, Zheng and Zhan 2002), blow-up problems (Budd, Huang and Russell 1996, Budd and Williams 2006, Ceniceros and Hou 2001, Ren and Wang 2000), chemotaxis systems (Budd, Carretero-Gonzalez and Russell 2005), reaction–diffusion systems (Zegeling and Kok 2004), the nonlinear…”
Molecular Hydrodynamics of the Moving Contact Line in Two-Phase Immiscible Flows (2005, methodology): “This power-law partial-slip region has been reproduced in large-scale adaptive continuum calculations [35, 37] based on the local, continuum hydrodynamic formulation presented in this paper.”