The parabolic edge reconstruction method (PERM) for Lagrangian particle advection

Journal of Computational Physics

Volumn 227, Issue 11, 2008, Pages 5447-5491

  McDermott, R ^a   Pope, S B ^b  

^a NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

^b Cornell University   (United States)

Author keywords

Direct numerical simulation; Filtered density function methods; Large eddy simulation; Particle method; Turbulent reacting flow; Velocity interpolation; Velocity reconstruction

Indexed keywords

ADVECTION; CELLS; CYTOLOGY; DIRECT NUMERICAL SIMULATION; FINITE VOLUME METHOD; FLOW VELOCITY; LAGRANGE MULTIPLIERS; MACH NUMBER; NUMERICAL METHODS; NUMERICAL MODELS; PIECEWISE LINEAR TECHNIQUES; PROBABILITY DENSITY FUNCTION; RUNGE KUTTA METHODS;

DENSITY FUNCTION METHODS; DIRECT-NUMERICAL-SIMULATION; FILTERED DENSITY FUNCTION METHOD; FILTERED DENSITY FUNCTIONS; LARGE-EDDY SIMULATIONS; PARABOLICS; PARTICLE METHODS; TURBULENT REACTING FLOWS; VELOCITY INTERPOLATION; VELOCITY RECONSTRUCTION;

LARGE EDDY SIMULATION;

EID: 43049104965     PISSN: 00219991     EISSN: 10902716     Source Type: Journal    
DOI: 10.1016/j.jcp.2008.01.045     Document Type: Article

References (32)

1. A.S. Almgren, J.B. Bell, W.Y. Crutchfield, Approximate Projection Methods: Part I. Inviscid Analysis, Lawrence Berkeley National Laboratories, Berkeley, CA, year unknown.
2. B. Banerjee, Material point method simulations of fragmenting cylinders, in: 17th ASCE Engineering Mechanics Conference, University of Delaware, Newark, DE, 2004.
3. S.G. Bardenhagen E.M. Kober The generalized interpolation material point method Comp. Model. Eng. Sci. 5 2004 477 496
4. J. Bell, AMR for Low Mach Number Reacting Flow, Lawrence Berkeley National Laboratory Paper LBNL-54351, 2004.
5. P. Colella P. Woodward The piecewise parabolic method (PPM) for gas-dynamical simulations J. Comp. Phys. 54 1984 174 201
6. J.W. Demmel Applied Numerical Linear Algebra 1997 SIAM
7. O. Desjardins, G. Blanquart, G. Balarac, H. Pitsch, High order conservative finite difference scheme for variable density low mach number turbulent flows, J. Comp. Phys. (submitted for publication).
8. J.E. Fromm A method for reducing dispersion in convective differencing schemes J. Comp. Phys. 3 1968 176 189
9. F. Gao E.E. O’Brien A large-eddy simulation scheme for turbulent reacting flows Phys. Fluids A 5 1993 1282
10. S. Gottlieb C.W. Shu E. Tadmor Strong stability-preserving high-order time discretization methods SIAM Rev. 43 1 2001 89 112
11. F.A. Jaberi P.J. Colucci S. James P. Givi S.B. Pope Filtered mass density function for large-eddy simulation of turbulent reacting flows J. Fluid Mech. 401 1999 85 121
12. P. Jenny S.B. Pope M. Muradoglu D.A. Caughey A hybrid algorithm for the joint PDF equation of turbulent reactive flows J. Comp. Phys. 166 2001 218 252
13. A. Kempf, Large-eddy simulation of non-premixed turbulent flames, Ph.D. thesis, Technischen Universität Darmstadt, 2004.
14. R. McDermott, Toward one-dimensional turbulence subgrid closure for large-eddy simulation, Ph.D. thesis, The University of Utah, 2005.
15. R. McDermott S.B. Pope A particle formulation for treating differential diffusion in filtered density function methods J. Comp. Phys. 226 1 2007 947 993
16. K. McGrattan, S. Hostikka, J. Floyd, H. Baum, R. Rehm, Fire Dynamics Simulator (Version 5) Technical Reference Guide, NIST Special Pub. 1018-5, < http://fire.nist.gov/fds/ >, 2007.
17. E.H. Moore On the reciprocal of the general algebraic matrix Bull. Am. Math. Soc. 26 1920 394 395
18. M. Muradoglu S.B. Pope D.A. Caughey The hybrid method for the PDF equations of turbulent reactive flows: consistency conditions and correction algorithms J. Comp. Phys. 172 2001 841 878
19. R.L. Panton Incompressible Flows second ed. 1996 John Wiley and Sons
20. R. Penrose, A generalized inverse for matrices, in: Proceedings of the Cambridge Philosophical Society, vol. 51, 1955, pp. 406–413.
21. R. Penrose, On best approximation solution of linear matrix equations, in: Proceedings of the Cambridge Philosophical Society, vol. 52, 1956, pp. 17–19.
22. C.D. Pierce, Progress-variable approach for large-eddy simulation of turbulent combustion, Ph.D. thesis, Stanford University, 2001.
23. S.B. Pope PDF methods for turbulent reactive flows Prog. Energy Combust. Sci. 11 1985 119 192
24. S.B. Pope, Computations of turbulent combustion: progress and challenges, in: Proceedings of Comb. Inst., vol. 30, 1990, pp. 591–612.
25. S.B. Pope, Turbulent Flows, Cambridge, 2000.
26. P.P. Popov, R. McDermott, S.B. Pope, An accurate time advancement algorithm for particle tracking, J. Comp. Phys. (submitted for publication).
27. V. Raman and H. Pitsch, A consistent LES/filtered-density function formulation for the simulation of turbulent flames with detailed chemistry. in: Proceedings of Comb. Inst., vol. 31, 2007, pp. 1711–1719.
28. V. Raman H. Pitsch R.O. Fox Hybrid large-eddy simulation/Lagrangian filtered-density function approach for simulating turbulent combustion Combust. Flame 143 2005 56 78
29. M.R.H. Sheikhi, T.G. Drozda, P. Givi, F.A. Jaberi, S.B. Pope, Large-eddy simulation of a turbulent nonpremixed piloted methane jet flame (Sandia Flame D), in: Proceedings of Comb. Inst., vol. 30, 2005, pp. 549–556.
30. E.F. Toro Riemann Solvers and Numerical Methods for Fluid Dynamics: A Practical Introduction second ed. 1999 Springer
31. P.K. Yeung S.B. Pope An algorithm for tracking fluid particles in numerical simulations of homogeneous turbulence J. Comp. Phys. 79 1988 373 416
32. Y.Z. Zhang D.C. Haworth A general mass consistency algorithm for hybrid particle/finite-volume PDF methods J. Comp. Phys. 194 2004 156 193