scholarly journals DEVELOPMENT OF A THREE DIMENSIONAL MULTI-BLOCK STRUCTURED GRID DEFORMATION CODE FOR COMPLEX CONFIGURATIONS

2010 ◽  
Vol 13 (3) ◽  
pp. 51-66
Author(s):  
Thi Anh Nguyen ◽  
Duong Anh Hoang

In this study, a multi-block structured grid deformation code based on a hybrid of transfinite interpolation algorithm and spring analogy has been developed. The combination of spring analogy for block vertices and transfinite interpolation for interior grid points helps to increase the robustness and makes it suitable for distributed computing. Elliptic smoothing operator is applied to the block faces with sub-faces to maintain the grid’s smoothness and skewness. The capability of the developed code is demonstrated on a range of simple and complex configuration such as airfoil and wing body configuration.

2017 ◽  
Vol 9 (4) ◽  
pp. 887-903 ◽  
Author(s):  
Hao Chen ◽  
Zhiliang Lu ◽  
Tongqing Guo

AbstractIn this paper, a hybrid dynamic mesh generation method for multi-block structured grid is presented based on inverse distance weighting (IDW) interpolation and transfinite interpolation (TFI). The major advantage of the algorithm is that it maintains the effectiveness of TFI, while possessing the ability to deal with multi-block structured grid from the IDW method. In this approach, dynamic mesh generation is made in two steps. At first, all domain vertexes with known deformation are selected as sample points and IDW interpolation is applied to get the grid deformation on domain edges. Then, an arc-length-based TFI is employed to efficiently calculate the grid deformation on block faces and inside each block. The present approach can be well applied to both two-dimensional (2D) and three-dimensional (3D) problems. The proposed method has been well-validated by several test cases. Numerical results show that dynamic meshes with high quality can be generated in an accurate and efficient manner.


2014 ◽  
Vol 6 (01) ◽  
pp. 120-134 ◽  
Author(s):  
Li Ding ◽  
Zhiliang Lu ◽  
Tongqing Guo

AbstractAiming at a complex multi-block structured grid, an efficient dynamic mesh generation method is presented in this paper, which is based on radial basis functions (RBFs) and transfinite interpolation (TFI). When the object is moving, the multi-block structured grid would be changed. The fast mesh deformation is critical for numerical simulation. In this work, the dynamic mesh deformation is completed in two steps. At first, we select all block vertexes with known deformation as center points, and apply RBFs interpolation to get the grid deformation on block edges. Then, an arc-length-based TFI is employed to efficiently calculate the grid deformation on block faces and inside each block. The present approach can be well applied to both two-dimensional (2D) and three-dimensional (3D) problems. Numerical results show that the dynamic meshes for all test cases can be generated in an accurate and efficient manner.


Author(s):  
Zhiqiang Zhai ◽  
Song Fu

This paper describes the development of a multi-block, structured grid system in a computational fluid dynamics (CFD) program, instead of the conventional single-block, structured grid system, to study the flow and heat transfer in complex geometries. The study used experimental data from a three-dimensional, cube-channel turbulent flow to validate the multi-block CFD program. Then the program was used to study the influence of wind on the dry cooling tower performance. By dividing the whole computational domain into five blocks, this investigation successfully modeled the airflow and heat transfer in and around two in-line cooling towers under a wind speed of 10 m/s. The computational results show that the crosswind has a significant adverse influence on the performance of dry cooling towers.


Author(s):  
Phumlani G. Dlamini ◽  
Vusi M. Magagula

AbstractIn this paper, we introduce the multi-variate spectral quasi-linearization method which is an extension of the previously reported bivariate spectral quasi-linearization method. The method is a combination of quasi-linearization techniques and the spectral collocation method to solve three-dimensional partial differential equations. We test its applicability on the (2 + 1) dimensional Burgers’ equations. We apply the spectral collocation method to discretize both space variables as well as the time variable. This results in high accuracy in both space and time. Numerical results are compared with known exact solutions as well as results from other papers to confirm the accuracy and efficiency of the method. The results show that the method produces highly accurate solutions and is very efficient for (2 + 1) dimensional PDEs. The efficiency is due to the fact that only few grid points are required to archive high accuracy. The results are portrayed in tables and graphs.


1973 ◽  
Vol 95 (3) ◽  
pp. 429-438 ◽  
Author(s):  
J. W. Deardorff

A three-dimensional numerical model of turbulence in an atmospheric boundary layer has been revised to utilize subgrid transport equations for the subgrid Reynolds stresses and fluxes rather than subgrid eddy coefficients. It was applied to a daytime boundary layer over heated ground in a region of horizontal area 8km square and 2km deep, utilizing 40×40×40 grid points. The constraints involved in selecting four important subgrid closure constants are discussed in some detail, along with maintenance of realizability on the subgrid scale. The results indicate that the subgrid transport equations produce subgrid Reynolds stresses and fluxes which realistically simulate the transfer of larger scale variance to subgrid scales, provided truncation errors due to advective terms are not too large. They also show the superiority of this method over the use of (nonstability dependent) nonlinear eddy coefficients in maintaining the sharpness of the inversion base which lies above the mixed layer.


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