Verification of multidimensional and transient CFD solutions

Numerical Heat Transfer, Part B: Fundamentals

Volumn 57, Issue 1, 2010, Pages 46-73

  Orozco, C ^a   Kzldag D ^a   Oliva, A ^a   Perez Segarra C D ^a  

^a UNIVERSITAT POLITÈCNICA DE CATALUNYA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

GENERALIZED RICHARDSON EXTRAPOLATION; NUMERICAL SOLUTION; ORDER OF ACCURACY; RICHARDSON EXTRAPOLATION; TIME COORDINATES; VERIFICATION METHOD;

APPROXIMATION THEORY;

EXTRAPOLATION;

EID: 77949813251     PISSN: 10407790     EISSN: 15210626     Source Type: Journal    
DOI: 10.1080/10407791003613702     Document Type: Article

References (21)

1. W. L. Oberkamp and T. G. Trucano, Verification and Validation in Computational Fluid Dynamics, Tech. Rep., Sandia National Laboratories, Albuquerque, NM, 2002.
2. F. G. Blottner, Accurate Navier-Stokes Results for the Hypersonic Flow over a Spherical, Nosetip, AIAA J. Spacecraft Rockets, vol.27, pp. 113-122, 1990.
3. L. Eça and M. Hoekstra, An Evaluation of Verification Procedures for CFD Applications, in Proc. 24th Symp. on Naval Hydrodynamics, Fukuoka, Japan, 2002.
4. I. Celik and G. Hu, Single Grid Error Estimation Using Error Transport Equation, J. Fluids Eng., vol.126, no.5, pp. 778-790, 2004.
5. P. J. Roache, Verification and Validation in Computational Science and Engineering, Hermosa, Albuquerque, NM, 1998.
6. J. E. Jaramillo, C. D. Pérez-Segarra, I. Rodŕiguez, and A. Oliva, Numerical Study of Plane and Round Impinging Jets Using RANS Models, Numer. Heat Transfer B, vol.54, pp. 213-237, 2008.
7. F. Stern, R. V. Wilson, H. W. Coleman, and E. G. Paterson, Comprehensive Approach to Verification and Validation of CFD Simulations\Part 1: Methodology and Procedures, J. Fluids Eng., vol.123, pp. 793-802, 2001.
8. P. H. Gaskell and A. K. C. Lau, Curvature-Compensed Convective Transport: SMART, a New Boundedness-Preserving Transport Algorithm, Int. J. Numer. Meth. Fluids, vol.8, pp. 617-641, 1988.
9. I. Celik and O. Karatekin, Numerical Experiments on Application of Richardson Extrapolation with Nonuniform Grids, J. Fluids Eng., vol.119, pp. 584-590, 1997.
10. J. Cadafalch, C. D. Pérez-Segarra, R. Cònsul, and A. Oliva, Verification of Finite Volume Computations on Steady State Fluid Flow and Heat Transfer, J. Fluids Eng., vol.124, pp. 11-21, 2002.
11. L. F. Richardson, On the Approximate Arithmetical Solution by Finite Differences of Physical Problems Involving Differential Equations, with an Application to the Stresses in a Masonry Dam, Proc. Roy. Soc. A, vol.83, pp. 335-336, 1910.
12. L. F. Richardson and J. A. Gaunt, The Deferred Approach to the Limit. Part I. Single Lattice. Part II. Interpenetrating Lattices, Proc. Roy. Soc. A, vol.226, pp. 299-361, 1927.
13. C. J. Roy, Grid Convergence Error Analysis for Mixed-Order Numerical Schemes, AIAA J., vol.41, pp. 595-604, 2003.
14. C. J. Roy, M. A. Mc Wherter-Payne, and W. L. Oberkampf, Verification and Validation for Laminar Hypersonic Flowfields, Part 1: Verification, AIAA J., vol.41, pp. 1934-1943, 2003.
15. L. Eca and M. Hoekstra, On the Grid Sensitivity of the Wall Boundary Condition of the k\co Turbulence Model, J. Fluids Eng., vol.126, pp. 900-910, 2004.
16. M. S. Darwish and F. Moukalled, Normalized Variable and Space Formulation Methodology for High-Resolution Schemes, Numer. Heat Transfer B, vol.26, pp. 79-96, 1994.
17. P. J. Roache, Code Verification by the Method of Manufactured Solutions, J. Fluids Eng., vol.124, pp. 4-10, 2002.
18. J. P. Van Doormal and G. D. Raithby, Enhancements of the Simple Method for Predicting Incompressible Fluid Flows, Numer. Heat Transfer, vol.7, pp. 147-163, 1984.
19. C. D. Perez-Segarra, A. Oliva, M. Costa, and F. Escanes, Numerical Experiments in Turbulent Natural and Mixed Convection in Internal Flows, Int. J. Numer. Meth. Heat Fluid Flow, vol.5, pp. 13-33, 1995.
20. F. Durst, T. Maxworthy, and J. C. F. Pereira, Piston-Driven, Unsteady Separation at a Sudden Expansion in a Tube: Flow Visualization and LDA Measurements, Phys. Fluids, vol.1, pp. 1249-1260, 1989.
21. H. Stroll, F. Durst, M. Peric, J. C. F. Pereira, and G. Scheuerer, Study of Laminar, Unsteady Piston-Cylinder Flow, J. Fluids Eng., vol.115, pp. 687-693, 1993.