Boundary-fitted parametrization of unstructured grids on arbitrary surfaces

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Boundary-fitted parametrization of unstructured grids on arbitrary surfaces (EN)

Giannakoglou, KC (EN)
Papailiou, KD (EN)
Chaviaropoulos, P (EN)

N/A (EN)

This paper presents a numerical algorithm for handling arbitrary surfaces which are described through an unstructured set of grid points. Surface unstructured grids can be produced using any CAD software and the present method allows its transformation into high-quality structured grids which are appropriate for flow and heat-transfer calculations, by means of finite-difference techniques. The connectivity and the coordinates of the initial surface nodes are the data for the calculation. The structured grid is defined by introducing a convenient set of two parametric coordinates that satisfy the surface Laplace equation. These equations are solved in the unstructured surface grid using the finite element technique, and provide the parametric values over the primitive unstructured grid nodes. The curvilinear coordinate lines, which coincide with the structured grid lines, are defined by searching for the solution contours inside the surface patch. The quality of the so-calculated grid is further improved via a structured-to-structured grid transformation method which improves grid characteristics, such as orthogonality, smoothness and user-defined grid-lines clustering. The proposed method has been successfully applied in several surface grid generation problems of industrial interest, some of them being illustrated herein. Copyright © 1996 Civil-Comp Limited and Elsevier Science Limited. (EN)


Boundary value problems (EN)
Computer software (EN)
Finite Difference (EN)
Finite Element (EN)
Surfaces (EN)
Laplace transforms (EN)
Numerical Algorithm (EN)
Unstructured Grid (EN)
Finite element method (EN)
Grid Generation (EN)
Finite element discretization technique (EN)
Algorithms (EN)
Laplace Equation (EN)
Calculations (EN)
Boundary fitted parametrization (EN)
Heat Transfer (EN)
Satisfiability (EN)
Computer aided design (EN)
Heat transfer (EN)
Finite difference method (EN)
Three dimensional (EN)

Εθνικό Μετσόβιο Πολυτεχνείο (EL)
National Technical University of Athens (EN)

Advances in Engineering Software (EN)



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