233
Views
4
CrossRef citations to date
0
Altmetric
Original Articles

Parameter investigation with line-implicit lower–upper symmetric Gauss–Seidel on 3D stretched grids

&
Pages 313-324 | Received 01 Dec 2014, Accepted 06 Jun 2015, Published online: 27 Jul 2015

References

  • Brandt, A. 1977. “Multi-Level Adaptive Solutions to Boundary-Value Problems.” Mathematics of Computation 31 (138): 333–390.
  • Chen, R. F., and Z. J. Wang. 2000. “Fast, Block Lower–Upper Symmetric Gauss–Seidel Scheme for Arbitrary Grids.” AIAA Journal 38 (12): 2238–2245.
  • Dwight, R. P. 2006. “Efficiency Improvements of RANS-Based Analysis and Optimization Using Implicit and Adjoint Methods on Unstructured Grids.” PhD diss., School of Mathematics, University of Manchester.
  • Edge. 2010. Edge, Theoretical Formulation. Technical Report 03-2870. FOI.
  • Eliasson, P. 2001. EDGE, A Navier–Stokes Solver for Unstructured Grids. Internal Report FOI-R–0298–SE.
  • Eliasson, P. 2002, June. “EDGE, a Navier–Stokes Solver for Unstructured Grids.” Finite volumes for complex applications III. pp. 527–534.
  • Eliasson, P., and P. Weinerfelt. 2007. “Recent Applications of the Flow Solver Edge.” Proceedings of the 7th Asian CFD conference, Bangalore, India.
  • Eliasson, P., P. Weinerfelt, and J. Nordström. 2009. “Application of a Line-Implicit Scheme on Stretched Unstructured Grids.” AIAA Paper2009–163.
  • Jameson, A. 1983. Transonic Flow Calculations. Technical Report. MAE Report 1651, Princeton University.
  • Jameson, A., and S. Yoon. 1987. “Lower–Upper Implicit Schemes with Multiple Grids for the Euler Equations.” AIAA Journal 25 (7): 929–935.
  • Kim, J. S., and O. J. Kwon. 2005. “An Efficient Implementation of Implicit Operator for Block LU-SGS Method.” Computational Fluid Dynamics 13 (2): 154–159.
  • Langer, S. 2013. “Application of a Line Implicit Method to Fully Coupled System of Equations for Turbulent Flow Problems.” International Journal of Computational Fluid Dynamics 27 (3): 131–150.
  • Langer, S., and D. Li. 2011. “Application of Point Implicit Runge–Kutta Methods to Inviscid and Laminar Flow Problems using AUSM and AUSM+ Upwinding.” International Journal of Computational Fluid Dynamics 25 (5): 255–269.
  • Nejat, A., and C. Ollivier-Gooch. 2005. “A High-Order Accurate Unstructured GMRES Algorithm for Inviscid Compressible Flows.” AIAA Paper 2005–5341.
  • Otero, E. 2014. “Acceleration of Compressible Flow Simulations with Edge Using Implicit Time Stepping.” PhD diss., Royal Institute of Technology (KTH), Stockholm.
  • Otero, E., and P. Eliasson. 2011. “Convergence Acceleration of the CFD Code Edge by LU-SGS.” 3rd CEAS Air & Space Conference, Venice, Italy. pp. 606–613.
  • Otero, E., and P. Eliasson. 2013. “Improving the Performance of the CFD Code Edge Using LU-SGS and Line-Implicit Methods.” Proceedings of the 4th CEAS conference in Linköping, Linköping, Sweden. Linköping University Electronic Press. pp. 124–134.
  • Otero, E., and P. Eliasson. 2015. “Acceleration on Stretched Meshes with Line-Implicit LU-SGS in Parallel Implementation.” International Journal of Computational Fluid Dynamics 29: 133–149.
  • Sharov, D., H. Luo, J. D. Baum, and R. Löhner. 2000. “Implementation of Unstructured Grid GMRES+LU-SGS Method on Shared-Memory, Cache-Based Parallel Computers.” AIAA Paper 2000–0927.
  • Sharov, D., and K. Nakahashi. 1997. “Reordering of 3-D Hybrid Unstructured Grids for Vectorized LU-SGS Navier–Stokes Computations.” AIAA Paper 97–2102.
  • Sharov, D., and K. Nakahashi. 1998. “Reordering of Hybrid Unstructured Grids for Lower-Upper Symmetric Gauss–Seidel Computations.” AIAA Journal 36 (3): 484–486.
  • Soetrisno, M., S. Imlay, D. Roberts, and D. Taflin. 1996. “Development of a 3-D Zonal Implicit Procedure for Hybrid Structured–Unstructured Grids.” AIAA Paper 96–0167.
  • Spalart, P. R., and S. R. Allmaras. 1992. “A One-Equation Turbulence Model for Aerodynamic Flows.” AIAA Paper 1992–0439.
  • Yoon, S., and A. Jameson. 1988. “Lower–Upper Symmetric-Gauss–Seidel Method for the Euler and Navier–Stokes Equations.” AIAA Journal 26 (9): 1025–1026.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.