Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/150310
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dc.titleA MESHLESS METHOD BASED ON FIRST ORDER TAYLOR SERIES AND WEIGHTED LEAST SQUARE METHOD
dc.contributor.authorLI ZHAOQI
dc.date.accessioned2018-12-31T18:00:36Z
dc.date.available2018-12-31T18:00:36Z
dc.date.issued2018-08-23
dc.identifier.citationLI ZHAOQI (2018-08-23). A MESHLESS METHOD BASED ON FIRST ORDER TAYLOR SERIES AND WEIGHTED LEAST SQUARE METHOD. ScholarBank@NUS Repository.
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/150310
dc.description.abstractIn recent years, meshless methods are drawing increasing attentions due to its certain advantages over mesh-based methods. The absence of meshes gives meshless methods an edge in multi-dimensional problems and large deformation problems. Smoothed-Particle Hydrodynamics (SPH), Moving Particle Semi-implicit (MPS) method and Consistent Particle Method (CPM) are three well-established meshless methods, among which CPM is the newest. A meshless method based on the first order Taylor series and Weighted Least Square Method is formulated in this thesis as a variation or simplification of the original CPM. In the present method, the gradient operator is discretised into a three-dimensional array and scalar linear differential operators are discretised into square matrices. Several testing problems are conducted with verification by theoretical solution or experimental image.
dc.language.isoen
dc.subjectmeshless method, Taylor series, Weighted Least Square Method, gradient operator, discretisation, differential equation
dc.typeThesis
dc.contributor.departmentCIVIL & ENVIRONMENTAL ENGINEERING
dc.contributor.supervisorLEUNG CHUN FAI
dc.contributor.supervisorCHOW YEAN KHOW
dc.description.degreeMaster's
dc.description.degreeconferredMASTER OF ENGINEERING
Appears in Collections:Master's Theses (Open)

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