Effect of grid displacement models on sensitivity derivatives computed by the continuous adjoint method in aerodynamic and conjugate heat transfer shape optimization

References

• Dwight, R. P., and J. Brezillon. 2006. “Effect of Approximations of the Discrete Adjoint on Gradient-Based Optimization.” AIAA Journal 44 (12): 3022–3031. doi: 10.2514/1.21744
   Web of Science ®Google Scholar
• Gkaragkounis, K. T., E. M. Papoutsis-Kiachagias, and K. C. Giannakoglou. 2018. “The Continuous Adjoint Method for Shape Optimization in Conjugate Heat Transfer Problems with Turbulent Incompressible Flows.” Applied Thermal Engineering 140: 351–362. doi: 10.1016/j.applthermaleng.2018.05.054
   Web of Science ®Google Scholar
• Jameson, A. 1988. “Aerodynamic Design Via Control Theory.” Journal of Scientific Computing 3: 233–260. doi: 10.1007/BF01061285
   Google Scholar
• Kavvadias, I. S., E. M. Papoutsis-Kiachagias, and K. C. Giannakoglou. 2015. “On the Proper Treatment of Grid Sensitivities in Continuous Adjoint Methods for Shape Optimization.” Journal of Computational Physics 301: 1–18. doi: 10.1016/j.jcp.2015.08.012
   Web of Science ®Google Scholar
• Liu, X., N. Qin, and H. Xia. 2006. “Fast Dynamic Grid Deformation Based on Delaunay Graph Mapping.” Journal of Computational Physics 211 (2): 405–423. doi: 10.1016/j.jcp.2005.05.025
   Web of Science ®Google Scholar
• Luke, E., E. Collins, and E. Blades. 2012. “A Fast Mesh Deformation Method Using Explicit Interpolation.” Journal of Computational Physics 231 (2): 586–601. doi: 10.1016/j.jcp.2011.09.021
   Web of Science ®Google Scholar
• Maruyama, D., D. Bailly, and G. Carrier. 2014. “High-Quality Mesh Deformation Using Quaternions for Orthogonality Preservation.” AIAA Journal 52 (12): 2712–2729. doi: 10.2514/1.J052954
   Web of Science ®Google Scholar
• Mura, G. L., B. L. Hinchliffe, N. Qin, and J. Brezillon. 2017. “Efficient Method to Eliminate Mesh Sensitivity in Adjoint-Based Optimization.” AIAA Journal 55 (4): 1140–1151. doi: 10.2514/1.J055212
   Web of Science ®Google Scholar
• Mura, G. L., B. L. Hinchliffe, N. Qin, and J. Brezillon. 2018. “Nonconsistent Mesh Movement and Sensitivity Calculation on Adjoint Aerodynamic Optimization.” AIAA Journal 56 (4): 1541–1553. doi: 10.2514/1.J055904
   Web of Science ®Google Scholar
• Nielsen, E., and M. Park. 2006. “Using An Adjoint Approach to Eliminate Mesh Sensitivities in Aerodynamic Design.” AIAA Journal 44 (5): 948–953. doi: 10.2514/1.16052
   Web of Science ®Google Scholar
• Nocedal, J., and S. J. Wright. 1999. Numerical Optimization. New York: Springer.
   Google Scholar
• Papoutsis-Kiachagias, E. M., and K. C. Giannakoglou. 2016. “Continuous Adjoint Methods for Turbulent Flows, Applied to Shape and Topology Optimization: Industrial Applications.” Archives of Computational Methods in Engineering 23 (2): 255–299. doi: 10.1007/s11831-014-9141-9
   Web of Science ®Google Scholar
• Papoutsis-Kiachagias, E. M., N. Magoulas, J. Mueller, C. Othmer, and K. C. Giannakoglou. 2015. “Noise Reduction in Car Aerodynamics Using a Surrogate Objective Function and the Continuous Adjoint Method with Wall Functions.” Computers & Fluids 122: 223–232. doi: 10.1016/j.compfluid.2015.09.002
   Web of Science ®Google Scholar
• Patankar, S. V., and D. B. Spalding. 1972. “Calculation Procedure for Heat, Mass and Momentum Transfer in Three-Dimensional Parabolic Flows.” International Journal of Heat and Mass Transfer 15: 1787–1806. doi: 10.1016/0017-9310(72)90054-3
   Web of Science ®Google Scholar
• Samareh, J. A. 2002. “Application of Quaternions for Mesh Deformation.” NASA/TM-2002-211646.
   Google Scholar
• Spalart, P., and S. Allmaras. 1992. “A One-Equation Turbulence Model for Aerodynamic Flows.” In 30th Aerospace Sciences Meeting and Exhibit, AIAA Paper 1992-0439. Reston, VA: American Institute of Aeronautics and Astronautics. doi:10.2514/6.1992-439.
   Google Scholar
• Tucker, P. G. 2003. “Differential Equation-Based Wall Distance Computation for DES and RANS.” Journal of Computational Physics 190: 229–248. doi: 10.1016/S0021-9991(03)00272-9
   Web of Science ®Google Scholar
• Wang, G., L. Xu, Ch. Li, and Z. Ye. 2016. “Influence of Mesh Sensitivities on Computational-Fluid-Dynamics-Based Derivative Calculation.” AIAA Journal 54 (12): 3717–3726. doi: 10.2514/1.J054881
   Web of Science ®Google Scholar
• Witteveen, J., and H. Bijl. 2009. “Explicit Mesh Deformation Using Inverse Distance Weighting Interpolation.” In 19th AIAA Computational Fluid Dynamics Conference. AIAA Paper 2009-3996. Reston, VA: American Institute of Aeronautics and Astronautics. doi:10.2514/6.2009-3996.
   Google Scholar