An approximate factorization scheme for elliptic grid generation with control functions

1994 ◽  
Vol 10 (6) ◽  
pp. 703-713 ◽  
Author(s):  
J. S. Mathur ◽  
S. K. Chakrabartty
Keyword(s):  
Grid Generation ◽  
Approximate Factorization ◽  
Factorization Scheme ◽  
Control Functions ◽  
Elliptic Grid Generation

Elliptic grid generation

AIAA Journal ◽  
1999 ◽  
Vol 37 ◽  
pp. 768-770 ◽  
Author(s):  
Reijo Lehtimaki
Keyword(s):  
Grid Generation ◽  
Elliptic Grid Generation

scholarly journals Elliptic grid generation using NURBS surfaces

1996 ◽  
Vol 13 (4) ◽  
pp. 369-386 ◽  
Author(s):  
Ahmed Khamayseh ◽  
Bernd Hamann
Keyword(s):  
Grid Generation ◽  
Nurbs Surfaces ◽  
Elliptic Grid Generation

Template-Based Hexahedral Mesh Generation for Turbine Cooling Geometries

2020 ◽  
Author(s):  
Muting Hao ◽  
Feng Wang ◽  
Joshua Hope-Collins ◽  
Max E. Rife ◽  
Luca di Mare
Keyword(s):  
Turbine Blades ◽  
Size Control ◽  
Grid Generation ◽  
General Purpose ◽  
Poisson System ◽  
Hexahedral Mesh ◽  
Turbine Cooling ◽  
Control Functions ◽  
Elliptic Smoothing ◽  
Multiblock Grid

Abstract This paper describes a multiblock grid generation method for turbine cooling geometries. The method is based on the observation that cooling films are essentially branches inserted on a large trunk, represented by the passage or by the cooling duct. The small size of the films compared to the overall size of turbine blades allows simplifications to be introduced with respect to general-purpose trunk and branch algorithms. The grid generation starts from an existing layout for the passage or cooling duct grid and operates on a Cartesian patch of the trunk surface. The patch is hollowed and a templated branch layout is inserted. Padding blocks are created to connect the two layouts into a single, boundary conforming layout. The resulting multiblock grid is then smoothed using a modification of Thompson’s Poisson system. The boundary mesh distribution is not prescribed. Instead, boundary orthogonality is enforced and elliptic smoothing is performed on the boundaries as well as inside the volume. The grid size control relies on a novel Newton-like update for the control functions of the Poisson system. The smoothing step is essential in achieving good grid quality throughout and determines, in part, the template for a given configuration. The algorithm is particularly suitable for large arrays of films or other cooling decoration and results show that the proposed method can produce grids of better quality than existing methods.

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