An adaptive grid technique for minimizing heterogeneity of cells or elements

1995 ◽  
Vol 27 (6) ◽  
pp. 709-729 ◽  
Author(s):  
Thomas H. Robey
Keyword(s):  
Adaptive Grid ◽  
Grid Technique

Modelling photochemical air pollutant formation in Hungary using an adaptive grid technique

2009 ◽  
Vol 36 (1/2/3) ◽  
pp. 44 ◽  
Author(s):  
Istvan Lagzi ◽  
Tamas Turanyi ◽  
Alison S. Tomlin ◽  
Laszlo Haszpra
Keyword(s):  
Adaptive Grid ◽  
Air Pollutant ◽  
Pollutant Formation ◽  
Grid Technique

scholarly journals Study on reverse-quadtree adaptive grid technique

2012 ◽  
Vol 16 (5) ◽  
pp. 1515-1518 ◽  
Author(s):  
Haiming Huang ◽  
Guo Huang ◽  
Xiaoliang Xu ◽  
Yumeng Hua
Keyword(s):  
Fast Multipole Method ◽  
Vortex Method ◽  
Adaptive Grid ◽  
Fast Multipole ◽  
Calculation Time ◽  
Particle Population ◽  
Flow Past ◽  
Multipole Method ◽  
Flow Past A Cylinder ◽  
Grid Technique

The fast multipole method is universally adopted for solving the convection equation in the vortex method. In this paper, a reverse-quadtree adaptive grid technique is proposed in order to improve the quadtree adaptive grid technique in the fast multipole method. Taking flow past a cylinder as an example, the results indicate the reverse-quadtree scheme can save more calculation time than the quadtree scheme when the particle population is large enough.

One-Dimensional Phase Field Models With Adaptive Grids

1998 ◽  
Vol 120 (4) ◽  
pp. 956-964 ◽  
Author(s):  
J. F. McCarthy
Keyword(s):  
Phase Field ◽  
Solid Sphere ◽  
Field Method ◽  
Adaptive Grid ◽  
Phase Field Method ◽  
Adaptive Grids ◽  
One Dimensional ◽  
Macroscopic Models ◽  
Phase Field Models ◽  
Grid Technique

The phase field method has been demonstrated to hold promise for enabling the physics at the microscale to be incorporated in macroscopic models of solidification. However, for quantitatively accurate simulations to be performed, it will be necessary to develop algorithms which enable the interface width to be made very small. Adaptive grid techniques offer a means of achieving this within practical computational limits. This paper investigates the solution of one-dimensional phase field models using an adaptive grid technique. Three problems are considered: (1) the classical Stefan model, (2) the case of a solid sphere in equilibrium with its melt, and (3) a modified Stefan model with a generalized kinetic undercooling term. The numerical results are compared with those obtained using a fixed grid algorithm. In general, the adaptive grid technique is shown to be far more efficient, but it requires some care in its implementation.

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