### Abstract

A novel approach of automated hybrid Cartesian-body fitted grid (HCBFG) for simulations of fluid flows in complex geometries is suggested. Based on a Cartesian background grid, the new approach automatically searches a near wall boundary(NWB) at any instant when a geometry is given. Within the NWB, a body-fitted mesh is generated using an efficient algebraic method with the skew angle between any two mesh lines guaranteed between 45° and 135°. This is attributed to the fact that only the mesh lines tangential to the solid surface needs to be generated. The mesh lines in the other two directions are from the background Cartesian grid. Outside of the NWB, the Cartesian grid is used. On the NWB, the grid points are one-to-one connected with the Cartesian grid. Hence, a consistent discretization scheme for structured grid can be used with no interpolation needed at the NWB. The fully conservative flux calculation can be achieved. This new approach has the advantages of the Chimera grid and Cartesian grid methods to treat complex or moving geometry, but overcomes the drawbacks of those methods requiring interpolation on the different mesh boundaries. Benefited from the HCBFG, all the rigorous numerical techniques developed for body-fitted grid, which are essential to achieve high order accuracy, can be used. The mesh size of the proposed hybrid grid approach will also be substantially smaller than that of a Cartesian grid method or unstructured grids since a highly stretched grid can be used near walls. This new approach may open a door to a new class of CFD technique for efficiently and accurately simulating steady and unsteady flows, furthermore, solving moving grid and fluid-structural interaction problems with complex geometries. This paper presents several examples of the HCBFG for representative geometries. The transonic RAE2822 airfoil is calculated using an implicit line Gauss-Seidel iteration to demonstrate the feasibility of the method.

Original language | English |
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Title of host publication | 19th AIAA Computational Fluid Dynamics Conference |

State | Published - Dec 1 2009 |

Event | 19th AIAA Computational Fluid Dynamics Conference - San Antonio, TX, United States Duration: Jun 22 2009 → Jun 25 2009 |

### Other

Other | 19th AIAA Computational Fluid Dynamics Conference |
---|---|

Country | United States |

City | San Antonio, TX |

Period | 6/22/09 → 6/25/09 |

### Fingerprint

### ASJC Scopus subject areas

- Engineering (miscellaneous)
- Automotive Engineering

### Cite this

*19th AIAA Computational Fluid Dynamics Conference*[2009-3880]

**A hybrid Cartesian-body fitted grid approach for simulation of flows in complex geometries.** / Chen, Xiangying; Zha, GeCheng.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*19th AIAA Computational Fluid Dynamics Conference.*, 2009-3880, 19th AIAA Computational Fluid Dynamics Conference, San Antonio, TX, United States, 6/22/09.

}

TY - GEN

T1 - A hybrid Cartesian-body fitted grid approach for simulation of flows in complex geometries

AU - Chen, Xiangying

AU - Zha, GeCheng

PY - 2009/12/1

Y1 - 2009/12/1

N2 - A novel approach of automated hybrid Cartesian-body fitted grid (HCBFG) for simulations of fluid flows in complex geometries is suggested. Based on a Cartesian background grid, the new approach automatically searches a near wall boundary(NWB) at any instant when a geometry is given. Within the NWB, a body-fitted mesh is generated using an efficient algebraic method with the skew angle between any two mesh lines guaranteed between 45° and 135°. This is attributed to the fact that only the mesh lines tangential to the solid surface needs to be generated. The mesh lines in the other two directions are from the background Cartesian grid. Outside of the NWB, the Cartesian grid is used. On the NWB, the grid points are one-to-one connected with the Cartesian grid. Hence, a consistent discretization scheme for structured grid can be used with no interpolation needed at the NWB. The fully conservative flux calculation can be achieved. This new approach has the advantages of the Chimera grid and Cartesian grid methods to treat complex or moving geometry, but overcomes the drawbacks of those methods requiring interpolation on the different mesh boundaries. Benefited from the HCBFG, all the rigorous numerical techniques developed for body-fitted grid, which are essential to achieve high order accuracy, can be used. The mesh size of the proposed hybrid grid approach will also be substantially smaller than that of a Cartesian grid method or unstructured grids since a highly stretched grid can be used near walls. This new approach may open a door to a new class of CFD technique for efficiently and accurately simulating steady and unsteady flows, furthermore, solving moving grid and fluid-structural interaction problems with complex geometries. This paper presents several examples of the HCBFG for representative geometries. The transonic RAE2822 airfoil is calculated using an implicit line Gauss-Seidel iteration to demonstrate the feasibility of the method.

AB - A novel approach of automated hybrid Cartesian-body fitted grid (HCBFG) for simulations of fluid flows in complex geometries is suggested. Based on a Cartesian background grid, the new approach automatically searches a near wall boundary(NWB) at any instant when a geometry is given. Within the NWB, a body-fitted mesh is generated using an efficient algebraic method with the skew angle between any two mesh lines guaranteed between 45° and 135°. This is attributed to the fact that only the mesh lines tangential to the solid surface needs to be generated. The mesh lines in the other two directions are from the background Cartesian grid. Outside of the NWB, the Cartesian grid is used. On the NWB, the grid points are one-to-one connected with the Cartesian grid. Hence, a consistent discretization scheme for structured grid can be used with no interpolation needed at the NWB. The fully conservative flux calculation can be achieved. This new approach has the advantages of the Chimera grid and Cartesian grid methods to treat complex or moving geometry, but overcomes the drawbacks of those methods requiring interpolation on the different mesh boundaries. Benefited from the HCBFG, all the rigorous numerical techniques developed for body-fitted grid, which are essential to achieve high order accuracy, can be used. The mesh size of the proposed hybrid grid approach will also be substantially smaller than that of a Cartesian grid method or unstructured grids since a highly stretched grid can be used near walls. This new approach may open a door to a new class of CFD technique for efficiently and accurately simulating steady and unsteady flows, furthermore, solving moving grid and fluid-structural interaction problems with complex geometries. This paper presents several examples of the HCBFG for representative geometries. The transonic RAE2822 airfoil is calculated using an implicit line Gauss-Seidel iteration to demonstrate the feasibility of the method.

UR - http://www.scopus.com/inward/record.url?scp=77958609585&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77958609585&partnerID=8YFLogxK

M3 - Conference contribution

SN - 9781563479755

BT - 19th AIAA Computational Fluid Dynamics Conference

ER -