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A consistent point-searching algorithm for solution interpolation in unstructured meshes consisting of 4-node bilinear quadrilateral elements
Zhao, CB, Hobbs, BE, Muhlhaus, HB and Ord, A (1999) A consistent point-searching algorithm for solution interpolation in unstructured meshes consisting of 4-node bilinear quadrilateral elements. International Journal For Numerical Methods In Engineering, 45 : 1509-1526.
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| Author(s) |
Zhao, CB
Hobbs, BE
Muhlhaus, HB
Ord, A
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| Title |
A consistent point-searching algorithm for solution interpolation in unstructured meshes consisting of 4-node bilinear quadrilateral elements
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| Journal name |
International Journal For Numerical Methods In Engineering
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| Publication date |
1999
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| Volume number |
45
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| Start page |
1509
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| End page |
1526
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| Abstract |
To translate and transfer solution data between two totally different meshes (i.e. mesh 1 and mesh 2), a consistent point-searching algorithm for solution interpolation in unstructured meshes consisting of 4-node bilinear quadrilateral elements is presented in this paper. The proposed algorithm has the following significant advantages: (1) The use of a point-searching strategy allows a point in one mesh to be accurately related to an element (containing this point) in another mesh. Thus, to translate/transfer the solution of any particular point from mesh 2 td mesh 1, only one element in mesh 2 needs to be inversely mapped. This certainly minimizes the number of elements, to which the inverse mapping is applied. In this regard, the present algorithm is very effective and efficient. (2) Analytical solutions to the local co ordinates of any point in a four-node quadrilateral element, which are derived in a rigorous mathematical manner in the context of this paper, make it possible to carry out an inverse mapping process very effectively and efficiently. (3) The use of consistent interpolation enables the interpolated solution to be compatible with an original solution and, therefore guarantees the interpolated solution of extremely high accuracy. After the mathematical formulations of the algorithm are presented, the algorithm is tested and validated through a challenging problem. The related results from the test problem have demonstrated the generality, accuracy, effectiveness, efficiency and robustness of the proposed consistent point-searching algorithm. Copyright (C) 1999 John Wiley & Sons, Ltd.
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| Keyword(s) |
Mathematics, Interdisciplinary Applications
Engineering, Multidisciplinary
Consistent Point-searching Algorithm
Solution Interpolation
Unstructured Meshes
Natural Frequency Optimization
Generalized Evolutionary Method
Vibration Problems
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