Applications of moving Kriging interpolation for element-free Galerkin method | |
| Author | Patthanapong Tongsuk |
| Call Number | AIT Diss. no.ST-06-03 |
| Subject(s) | Kriging Galerkin methods |
| Note | A dissertation submitted in paiiial fulfillment of the requirements for the degree of Doctor of Engineering, School of Engineering and Technology |
| Publisher | Asian Institute of Technology |
| Series Statement | Dissertation ; no. ST-06-03 |
| Abstract | Following its first introduction, this study further scrutinizes the new type of shape functions for element-free Galerkin method (EFGM) based on the moving Kriging (MK) interpolation. Kriging is a geostatistical method of spatial interpolation. Its basic premise is that every unknown point can be interpolated from known scattered points in its specified neighborhood. This property is ideal for EFGM. Previously, a shortcoming of EFGM based on moving least square (MLS) approximation is associated with its limitation to satisfy essential boundary conditions exactly. With MK interpolation functions, EFGM solution can satisfy essential boundary conditions automatically. Numerical results on oneand two-dimensional elasticity problems have confirmed the effectiveness of the MK in addressing this specific shortcoming of EFGM. The correlation function plays an important role on the solution accuracy of the present method. This leads to an idea to propose the dimensionless correlation function included a shape parameter a that affect the accuracy of solutions. The proposed dimensionless correlation function can be automatically made adaptive to the domain of influence (DOI) of the nodal density in the neighbor. This paper also studied the effect of shape parameters on the numerical accuracy of the present method. The optimal ranges of shape parameters are introduced in the study. The effect of size of DOI and number of integration point are also studied and recommended in this paper. Following the recommended parameters, the study finds the accuracy of EFGM to he greatly enhanced with the use of MK shape functions. Furthermore, applications of the method for fluid flow problems show a good promise to other numerical methods |
| Year | 2006 |
| Corresponding Series Added Entry | Asian Institute of Technology. Dissertation ; no. ST-06-03 |
| Type | Dissertation |
| School | School of Engineering and Technology |
| Department | Department of Civil and Infrastucture Engineering (DCIE) |
| Academic Program/FoS | Structural Engineering (STE) /Former Name = Structural Engineering and Construction (ST) |
| Chairperson(s) | Worsak Kanok-Nukulchai; |
| Examination Committee(s) | Pichai Nimityongskul;Tawatchai Tingsanchali;Pennung Warnitchai;Noguchi, Hirohisa; |
| Scholarship Donor(s) | The Royal Thai Government (RTG); |
| Degree | Thesis (Ph.D.) - Asian Institute of Technology, 2006 |