Adaptive inner iteration processes in pressure-based method for viscous compressible flows

Reference

• S.V. Patankar, and D.B. Spalding, “A calculation procedure for heat mass and momentum transfer in three dimensional parabolic flows,” Int. J. Heat Mass Transfer, vol. 15, no. 10, pp.1787–1806, 1972.
   Web of Science ®Google Scholar
• S.V. Patankar. “A calculation procedure for two-dimensional elliptic situations,” Numerical. Heat Transfer, vol. 4, no. 4, pp. 409–425, 1981.
   Google Scholar
• M. H. Hu, J. S. Wu and Y.S. Chen, “Development of a parallelized 2D/2D-axisymmetric Navier–Stokes equation solver for all-speed gas flows,” Comput Fluids, vol. 45, pp. 241–248, 2011.
   Web of Science ®Google Scholar
• Z. X. Sun. “The Application of Direct Simulation Monte Carlo Method for Solving Multi-scale Problems,” Ph.D. thesis, Xi'an Jiaotong University, Xi'an, Shaanxi, PRC, 2011. (in Chinese)
   Google Scholar
• W.Q. Tao, Z.G. Qu, and Y.L. He, “A novel segregated algorithm for incompressible fluid flow and heat transfer problems—CLEAR (coupled and linked equations algorithm revised) part I: Mathematical formulation and solution procedure,” Numer. Heat Transf. B, Vol. 45, no. 1, pp.1–17, 2004.
   Web of Science ®Google Scholar
• Z.G. Qu. “Study on Advanced Numerical Algorithms on Fluid Flow and Heat Transfer Problems and Their Applications in Air Convective Heat Transfer Enhancement,” Ph.D. thesis, Xi'an Jiaotong University, Xi'an, Shaanxi, PRC, 2005.(in Chinese)
   Google Scholar
• J. P. Wang, J. F. Zhang, Z. G. Qu et al. “Comparison of robustness and efficiency for SIMPLE and CLEAR algorithm with 13 high-resolution convection schemes in compressible flows,” Numerical Heat Transfer, part B: Fundamentals. vol. 66, no. 2, pp. 133–161, 2014.
   Web of Science ®Google Scholar
• D. L. Sun, Z. G. Qu, Y. L. He, and W. Q. Tao. “An efficient segregated algorithm for incompressible fluid flow and heat transfer problems-IDEAL(inner doubly iterative efficient algorithm for linked equations) part I: Mathematical formulation and solution procedure,” Numerical Heat Transfer, Part B, vol. 53, no. 1, pp.1–17, 2008.
   Web of Science ®Google Scholar
• D. L. Sun, “Development of Advanced Velocity-Pressure Coupling Algorithm and Interface Capturing Method,” Ph.D. thesis, Xi'an Jiaotong University, Xi'an, Shaanxi, PRC, 2009.(in Chinese)
   Google Scholar
• J. F. Zhang, J. P. Wang, Z. G. Qu et al. “The study of different discretized schemes for density and convection terms in high speed compressible flow using the pressure-based method,” Appl. Therm. Eng., vol. 73, no. 2, pp. 1533–1540, 2014.
   Web of Science ®Google Scholar
• R. Issa. “Solution of the implicit discretized fluid flow equations by operator splitting,” J Comput. Phys., vol. 62, no. 1, pp.40–65, 1986.
   Web of Science ®Google Scholar
• K. C. Karki and S. V. Patankar. “Pressure based calculation procedure for viscous flows at all speeds in arbitrary configurations,” Aiaa J., vol. 27, no. 9, pp. 1167–1174, 1989.
   Google Scholar
• J. Rincon and R. Elder. “A high-resolution pressure-based method for compressible flows,” Comput Fluids, vol. 26, no. 3, pp. 217–231, 1997.
   Web of Science ®Google Scholar
• S. Tian, Z. He, G. Li, H. Wang, Z. Shen, and Q. Liu, “Influences of ambient pressure and nozzle-to-target distance on SC-CO2 jet impingement and perforation,” J. Nat. Gas Sci. and Eng., vol. 29, pp. 232–242, 2016.
   Web of Science ®Google Scholar
• X. Nogueira, L. Ramírez, S.e Khelladi, J. C. Chassaing, and I. Colominas, “A high-order density-based finite volume method for the computation of all-speed flows,” Comp. Meth. App. Mech. and Eng., vol. 298, pp. 229–251, 2016.
   Web of Science ®Google Scholar
• F. Moukalled, and M. Darwish, “A high-resolution pressure-based algorithm for fluid flow at all speeds,” J. Comput. Phys., vol. 168, no. 1, pp. 101–133, 2001.
   Web of Science ®Google Scholar
• A. W. Date. “Solution of Navier-Stokes equations on non-staggered grid at all speeds,” Numer. Heat Tran., Part B, vol. 33, no. 4, pp. 451–467, 1998.
   Web of Science ®Google Scholar
• N. Ron-Ho, “A multiple-grid scheme for solving the Euler equations,” Aiaa J., vol. 20, no. 11, pp. 1565–1571, 1982.
   Google Scholar
• S. Eidelman, P. Colella, and R. P. Shreeve, “Application of Godunov method and its Second-Order extension to Cascade flow modelling,” Aiaa J., vol. 22, no. 11, pp.1609–1615, 1984.
   Google Scholar
• M. L. Mason, L. E. Putnam, and R. J. Re, “The Effect of Throat Contouring in Two-dimensional Converging Diverging Nozzles at Static Conditions," NASA TP1704, 1980.
   Google Scholar