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Predicting uncertainty

Bahram Khalighi and GR Shevare, K Sudhakar, BK Gupta and Irshad Khan, IIT Bombay present a case study based on CFD

CFD simulations carried out by General Motors (GM) in the recent past were adequate for predicting the drag coefficient of its vehicles within 5-10 per cent compared to the values obtained from wind tunnel tests. Unfortunately, CFD simulations for lift coefficient were found to be off by as much as 20 per cent. The project under discussion was one of the steps towards investigating and understanding the sensitivity of parameters involved, and correcting this discrepancy between the computational and experimental results in the prediction of lift coefficient. In order to eliminate the effect of geometric infidelity, the exact geometry being tested in the wind tunnel was used for the CFD simulation. The Initial Graphics Exchange Specification (IGES) files supplied were translated without loss of information into the surface grids. The number of test cases for validating CFD simulations based on structured grids outnumbered CFD simulations based on unstructured grids. Thus the natural choice for the simulation is structured grids, even though producing structured grids is time consuming. Since the geometry is nontrivial, only multi-block grids are feasible so that the quality of grids is maintained throughout the computational domain. Structured surface grids adequately clustered in the regions of high surface curvatures were produced. H-H topology volume grids are generated as the van is like a box. Grids were clustered close to the body using exponential function. The outer boundary of the domain was set to the walls of the tunnel. A sufficiently long length of the tunnel ahead and behind the model was simulated so that boundary conditions were inflow/outflow, rather than free stream boundary conditions. Boundary conditions for turbulence kinetic energy, 'k' has been taken from wind tunnel tests. Due to all these inputs, no wind tunnel solid/wake blockage corrections were necessary and the uncertainties arising out of these corrections were taken care of automatically. An in-house density based code has been used for simulation. This code is a multi-block, second order accurate in space, finite volume, parallelised software with multiple schemes for convective terms and turbulence models. The scheme proposed by Weiss and Smith, with Jones Launder k-e turbulence model has been used.

Methodology
Mesh:
The geometry of the vehicle and the outer boundary of the domain (wind tunnel geometry) were read as IGES files by the in-house CFD package, CFDExpert. Two triangular patches near the sidewalls of the box were removed after discussions with GM. The domain had an inlet and outlet at positions as provided in the IGES file. A tool in CFDExpert generated surface triangulation from given the Non Uniform Rational B-Splines (NURB) surfaces. A total of 81,000 grids were created in this process. The generation of multi-block structured grids for simulation requires the topology of the domain, ...

 

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