A finite element method for low-speed compressible flows

Computer Methods in Applied Mechanics and Engineering

Volumn 193, Issue 21-22, 2004, Pages 1959-1979

  Martinez, Mario J ^a   Gartling, David K ^a  

^a SANDIA NATIONAL LABORATORIES   (United States)

Author keywords

Acoustically filtered; Finite element; Non Boussinesq

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; COMPRESSIBLE FLOW; FINITE ELEMENT METHOD; NAVIER STOKES EQUATIONS; PROBLEM SOLVING; STEADY FLOW;

LOW-SPEED COMPRESSIBLE FLOWS; TRANSIENT FLOW;

FLOW MEASUREMENT;

BOUSSINESQ EQUATION; COMPRESSIBLE FLOW; FINITE ELEMENT METHOD; NAVIER-STOKES EQUATIONS; TRANSIENT FLOW;

EID: 1842687243     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2003.12.049     Document Type: Article

References (21)

1. Ogura Y. Phillips N.A. Scale analysis of deep and shallow convection in the atmosphere J. Atmos. Sci. 19 1962 173-179
2. Gough D.O. The anelastic approximation for thermal convection J. Atmos. Sci. 26 1969 448-456
3. Rehm R.G. Baum H.R. The equations of motion for thermally driven, buoyant flows J. Res. (NBS) 83 3 1978 297-308
4. S. Paolucci, On the filtering of sound from the Navier-Stokes equations, SAND82-8257, Sandia National Laboratories, Albuquerque, NM, 1982
5. Majda A. Sethian J. The derivation and numerical solution of the equations for zero Mach number combustion Combust. Sci. Technol. 42 1985 185-205
6. Spiegel E.A. Veronis G. On the Boussinesq approximation for a compressible fluid Astrophys. J. 131 1960 442-447
7. Gray D.D. Giorgini A. The validity of the Boussinesq approximation for liquids and gases Int. J. Heat Mass Transfer 19 1976 545-551
8. Jarvis G.T. McKenzie D.P. Convection in a compressible fluid with infinite Prandtl number J. Fluid Mech. 96 3 1980 515-583
9. Le Quere P. Humphrey J.A.C. Sherman F.S. Numerical calculation of thermally driven two-dimensional unsteady laminar flow in cavities of rectangular cross section Numer. Heat Transfer 4 1981 249-283
10. Chenoweth D.R. Paolucci S. Natural convection in an enclosed vertical air layer with large horizontal temperature differences J. Fluid Mech. 169 1986 173-210
11. Paolucci S. Direct numerical simulation of two-dimensional turbulent natural convection in an enclosed cavity J. Fluid Mech. 215 1990 229-262
12. Li C. Glowinski R. Modelling and numerical simulation of low Mach number compressible flows Int. J. Numer. Methods Fluids 23 2 1996 77-103
13. Heuveline V. On higher-order mixed FEM for low Mach number flows: Applications to a natural convection benchmark problem Int. J. Numer. Methods Fluids 41 2003 1339-1356
14. Spradley L.W. Churchill S.W. Pressure- and buoyancy-driven thermal convection in a rectangular enclosure J. Fluid Mech. 70 1975 705-720
15. D.K. Gartling, NACHOS II--A finite element computer program for incompressible flow problems, Part I--Theoretical background, SAND86-1816, Sandia National Laboratories, Albuquerque, NM, 1987
16. Reddy J.N. Gartling D.K. The finite element method in heat transfer and fluid dynamics second ed. 2001 CRC Press Boca Raton, FL
17. Gresho P.M. Lee R.L. Sani R.L. On the time-dependent solution of the incompressible Navier-Stokes equations in two and three dimensions Recent Advances in Numerical Methods in Fluids vol. 1 1980 27-81 Pineridge Press Ltd. Swansea, U.K.
18. D.K. Gartling, KACHINA--A finite element computer program for low-speed flow problems, Part I--Theoretical background, Sandia National Laboratories, Albuquerque, NM, in preparation
19. Gropp W. Lusk E. Skjellum A. Using MPI 1995 MIT Press Cambridge, MA
20. Jensen K.V. Micro-reaction engineering applications of reaction engineering to the processing of electronic and photonic materials Chem. Engrg. Sci. 42 5 1987 923-958
21. DeVahl Davis G. Natural convection of air in a square cavity: a bench mark numerical solution Int. J. Numer. Methods Fluids 3 1983 249-264