Computations of Wall Distances by Solving a Transport Equation

XU Jing-lei; YAN Chao; FAN Jing-jing

doi:10.3879/j.issn.1000-0887.2011.02.002

Volume 32 Issue 2

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XU Jing-lei, YAN Chao, FAN Jing-jing. Computations of Wall Distances by Solving a Transport Equation[J]. Applied Mathematics and Mechanics, 2011, 32(2): 135-143. doi: 10.3879/j.issn.1000-0887.2011.02.002

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Computations of Wall Distances by Solving a Transport Equation

doi: 10.3879/j.issn.1000-0887.2011.02.002

National Laboratory for CFD, Beijing University of Aeronautics and Astronautics, Beijing 100191, P. R. China

Received Date: 2010-10-17
Rev Recd Date: 2010-12-03
Publish Date: 2011-02-15

Abstract

Abstract

Motivated by the large expense to compute wall distances which still play a key role in modern turbulence modeling,the approach of solving partial differential equations is considered. An Euler-like transport equation was proposed based on Eikonal equation so that efficient algorithms and code components developed for solving transport equations such as Euler and Navier-Stokes can be reused. A detailed implementation of the transport equation in Cartesian Coordinates was provided based on code MI-CFD of BUAA. The transport equation was found to have robust and rapid convergence using implicit LUSGS time advancement and upwind spatial discretization. Geometric derivatives must also be upwind determined for accuracy assurance. Special treatments on initial and boundary conditions were discussed. This distance solving approach is successfully applied on several complex geometries with 1-1 blocking or overset grids.
- wall distance,
- numerical simulation,
- overset grid

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References(11)

References

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