Development of High-Order Taylor-Galerkin Schemes for LES

Journal of Computational Physics

Volumn 162, Issue 2, 2000, Pages 338-371

  Colin, Olivier ^a   Rudgyard, Michael ^b  

^a CERFACS   (France)

^b UNIVERSITY OF OXFORD   (United Kingdom)

Author keywords

Convection; High order schemes; LES; Taylor Galerkin methods

Indexed keywords

FINITE ELEMENT METHOD; GALERKIN METHODS;

CONVECTION; GALERKIN FINITE ELEMENT SCHEME; HIGH-ORDER; HIGH-ORDER SCHEME; HIGHER-ORDER; LES; PARALLEL SOLVER; TAYLOR GALERKIN SCHEMES; TAYLOR-GALERKIN; TAYLOR-GALERKIN METHOD;

ITERATIVE METHODS;

EID: 0000737519     PISSN: 00219991     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcph.2000.6538     Document Type: Article

References (23)

1. Kravchenko A. G., Moin P. On the effect of numerical errors in large eddy simulations of turbulent flows. J. Comput. Phys. 131:1997;310.
2. Choi H., Moin P., Kim J. Direct numerical simulation of turbulent flow over riblets. J. Fluid Mech. 255:1993;503.
3. Kim J., Moin P., Moser R. Turbulence statistics in fully-developped channel flow at low Reynolds number. J. Fluid Mech. 177:1987;133.
4. Lele S. Compact finite difference schemes with spectral like resolution. J. Comput. Phys. 103:1992;16.
5. Hu C., Shu C.-W. Weighted Essentially Non-oscillatory Schemes on Triangular Meshes. November 1998.
6. Giles M. B., Thompkins W. T. Propagation and stability of wavelike solutions of finite difference equations with variable coefficients. J. Comput. Phys. 58:1985;349.
7. Jameson A., Schmidt W., Turkel E. Numerical Solutions of the Euler Equations by Finite Volume Methods using Runge-Kutta Time-Stepping Schemes. June 1981.
8. Donea J., Quartapelle L. An introduction to finite element methods for transient advection problems. Comput. Methods Appl. Mech. Eng. 95:1992;169.
9. Donea J. A Taylor-Galerkin method for convective transport problems. Int. J. Numer. Methods Eng. 20:1984;101.
10. Quartapelle L., Selmin V. High-order Taylor-Galerkin methods for non-linear multidimensional problems. Finite Elements Fluids. 1993;1375.
11. Safjan A., Oden J. T. High-order Taylor-Galerkin and adaptive h-p methods for second-order hyperbolic systems: Application to elastodynamics. Comput. Methods Appl. Mech. Eng. 103:1993;187.
12. Safjan A., Oden J. T. High-order Taylor-Galerkin methods for linear hyperbolic systems. J. Comput. Phys. 120:1995;206.
13. Lesieur M., Metais O. New trends in large-eddy simulations of turbulence. Ann. Rev. Fluid. Mech. 28:1996;45.
14. Morinishi Y., Lund T. S., Vasilyev O. V., Moin P. Fully conservative higher order finite difference schemes for incompressible flow. J. Comput. Phys. 143:1998;90.
15. Schönfeld T., Angelberger C., Legier JP., Ducruix S. Numerical Simulation of Compressible Reactive Flows on Unstructured Grids. January 1999.
16. Donea J., Quartapelle L., Selmin V. An analysis of time discretization in the finite element solution of hyperbolic problems. J. Comput. Phys. 70:1987;463.
17. Selmin V. Third Order Finite Element Schemes for the Solution of Hyperbolic Problems. 1987;707.
18. Wathen A. J. On relaxation of Jacobi iteration for consistent and generalized matrices. Appl. Numer. Methods. 7:1991;93.
19. Wathen A. J. Realistic eigenvalue bounds for the Galerkin mass matrix. IMA J. Numer. Anal. 7:1987;449.
20. Schönfeld T., Rudgyard M. Steady and unsteady flow simulations using the hybrid flow solver AVBP. AIAA J. 37:1999;1378.
21. Lesieur M. Turbulence in fluids. Fluid Mechanics and Its Applications. 1:1990.
22. F. Ducros, F. Nicoud, and, T. Schönfeld, Large-eddy simulation of compressible flows on hybrid meshes, in, Eleventh Symposium on Turbulent Shear Flows, Grenoble, France, 1997.
23. Donea J., Giuliani S., Laval H., Quartapelle L. Time-accurate solution of advection-diffusion problems by finite elements. Comput. Methods Appl. Mech. Eng. 45:1984;123.