Journal Article10.1016/0096-3003(82)90190-4
Algebraic grid generation
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TL;DR: Three methods are described for transforming grids in bounded two- and three- dimensional physical domains into a uniform grid in a rectangular computational domain based on mathematical interpolation functions and do not require the solution of differential equations or the use of complex variables.
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About: This article is published in Applied Mathematics and Computation. The article was published on 01 Jan 1982. The article focuses on the topics: Alpha-numeric grid & Transfinite interpolation.
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Citations
Three-dimensional, transient model for laser machining of ablating/decomposing materials
TL;DR: In this article, a three-dimensional conduction model was developed to predict the transient temperature distribution inside a thick solid that is irradiated by a moving laser source, and the changing shape of a groove carved into it by evaporation of material.
97
Three-dimensional algebraic grid generation
R. E. Smith
- 01 Jan 1983
TL;DR: For three-dimensional grid generation, transfinite interpolation using the coordinate control processes developed in the multisurface method and two-boundary technique are advocated and the exploration of multiple overlapping grids is proposed.
43
CFD Mesh Generation: A Practical Guideline
Jiyuan Tu,Guan Heng Yeoh,Chaoqun Liu +2 more
- 01 Jan 2019
TL;DR: This chapter focuses on the important aspect of mesh generation for CFD problems, and includes some practical guidelines to the resolution of specific flow features.
25
Analysis of plane and axisymmetric flows of incompressible fluids with the stream tube method: Numerical simulation by trust‐region optimization algorithm
TL;DR: A new algorithm based on a trust region technique which is effective for non-convex optimization problems is presented which is more robust compared to the Newton-Raphson method.
24
Shape optimisation with nearly conformal transformations
TL;DR: In this article, a least square formulation of the Cauchy-Riemann equations is proposed to deform meshes in a nearly conformal way and preserve the angles of triangles during the shape optimization process.
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References
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Computational Fluid Mechanics and Heat Transfer
Dale Anderson,John C. Tannehill,Richard H. Pletcher +2 more
- 01 Jan 1984
TL;DR: In this paper, a reference record was created on 2005-11-18, modified on 2016-08-08 and used for CFD-based transfert de chaleur.
4K
Construction of curvilinear co-ordinate systems and applications to mesh generation
TL;DR: In this article, the problem of curvilinearly co-ordinating simply connected planar domains by constructing invertible maps of the unit square [0, 1] × [0 and 1] onto the planar domain is addressed.
710
Surfaces for computer-aided design of space forms
S. A. Coons
- 01 Jun 1967
TL;DR: A method is described which makes possible the description of free-form doubly curved surfaces of a very general kind, specifically devised for use in the Computer-Aided Design Project at M.I.T.
Transfinite mappings and their application to grid generation
William J. Gordon,Linda C. Thiel +1 more
TL;DR: In this article, the authors describe how the techniques of bivariate and trivariate ''blending function'' interpolation can be adapted and applied to the geometric problems of grid generation.
132
A multi-surface method of coordinate generation
TL;DR: In this paper, a multidimensional method of coordinate generation has been developed to match boundaries with coordinate surfaces and to control the manner in which other coordinate surfaces leave the boundaries, which is referred to as a multi-surface method.
118