A boundary and soil interface conforming unstructured local mesh refinement for geological structures

Adaptive mesh methods are reliable and efficient approaches in hydrological and hydraulic modelling. In some cases, however, big challenges are faced when constructing the adaptive meshes that not only have a good quality but also maintain the integrity of the geological structures. In this paper, a local refinement technique using Delaunay triangulation method is developed for these purposes. Specific treatments are proposed to deal with the soil interfaces and boundaries usually encountered in geological structures. The application and quantitative evaluation show that a satisfactory result has been obtained for a complicated geological slope.

[1]  R. E. Hobbs,et al.  Automatic adaptive finite element mesh generation over arbitrary two-dimensional domain using advancing front technique , 1999 .

[2]  K. W. Morton,et al.  Numerical methods for fluid dynamics , 1987 .

[3]  Y. Cohen,et al.  A front‐tracking numerical algorithm for liquid infiltration into nearly dry soils , 1999 .

[4]  Bharat K. Soni,et al.  Handbook of Grid Generation , 1998 .

[5]  R. Dutton,et al.  Delaunay triangulation and 3D adaptive mesh generation , 1997 .

[6]  William H. Frey,et al.  Mesh relaxation: A new technique for improving triangulations , 1991 .

[7]  J. Cavendish.  Automatic triangulation of arbitrary planar domains for the finite element method , 1974 .

[8]  O. C. Zienkiewicz,et al.  Adaptive mesh generation for fluid mechanics problems , 2000 .

[9]  S. Rebay.  Efficient Unstructured Mesh Generation by Means of Delaunay Triangulation and Bowyer-Watson Algorithm , 1993 .

[10]  Roland W. Lewis,et al.  Aspects of adaptive mesh generation based on domain decomposition and Delaunay triangulation , 1995 .

[11]  Joke Blom,et al.  A moving grid method for one-dimensional PDEs based on the method of lines , 1988 .

[12]  J. Lang,et al.  SELF-ADAPTIVE HIERARCHIC FINITE ELEMENT SOLUTION OF THE ONE-DIMENSIONAL UNSATURATED FLOW EQUATION , 1990 .

[13]  N. Weatherill.  Delaunay triangulation in computational fluid dynamics , 1992 .

[14]  R. E. Hobbs,et al.  Automatic Adaptive Finite Element Mesh Generation Over Rational B-spline Surfaces , 1998 .

[15]  Adrian Bowyer,et al.  Computing Dirichlet Tessellations , 1981, Comput. J..

[16]  W. K. Anderson,et al.  A grid generation and flow solution method for the Euler equations on unstructured grids , 1994 .

[17]  M. Venutelli,et al.  Moving finite element model for one‐dimensional infiltration in unsaturated soil , 1992 .