Analysis of hypersonic flows using finite elements with Taylor-Galerkin scheme

International Journal for Numerical Methods in Fluids

Volumn 44, Issue 12, 2004, Pages 1355-1376

  Kessler, Martin P ^a   Awruch, Armando M ^a  

^a FEDERAL UNIVERSITY OF RIO GRANDE DO SUL   (Brazil)

Author keywords

Finite elements; Hypersonic flow; Numerical simulation; Thermochemical non equilibrium

Indexed keywords

COMPUTATIONAL METHODS; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; NAVIER STOKES EQUATIONS; THERMODYNAMIC STABILITY;

HYPERSONIC FLOWS; TAYLOR-GALERKIN SCHEME;

SUPERSONIC FLOW;

FINITE ELEMENT METHOD; HYPERSONIC FLOW; MATHEMATICAL ANALYSIS; NAVIER-STOKES EQUATIONS;

EID: 16544381183     PISSN: 02712091     EISSN: None     Source Type: Journal    
DOI: 10.1002/fld.695     Document Type: Article

References (22)

1. Anderson JD. Hypersonic and High Temperature Gas Dynamics. McGraw-Hill: New York, 1989.
2. Brown KG. Chemical and thermal nonequilibrium heat-transfer analysis for hypervelocity, low Reynolds number flow. In Thermophysical Aspects of Re-Entry Flows, Moss JN, Scott CD (eds). AIAA: New York, 1986: 445-477.
3. Park C. Nonequilibrium Hypersonic Aerothermodynamics. Wiley: New York, 1990.
4. Lee JH. Basic governing equations for the flight regimes of aeroassisted orbital transfer vehicles. In Thermal Design of Aeroassisted Orbital Transfer Vehicles, Nelson HF (ed.). AIAA: New York, 1985; 3-53.
5. Park C. Problems of Rate Chemistry in the Flight Regimes of Aeroassisted Orbital Transfer Vehicles. In Thermal Design of Aeroassisted Orbital Transfer Vehicles, Nelson HF (ed.). AIAA: New York, 1985; 511-537.
6. Moretti G, Abbett M. A time-dependent computational method for blunt body flows. AIAA Journal 1966; 4(12):2136-2141.
7. Lax P, Wendroff B. Systems of conservation laws. Communications on Pure and Applied Mathematics 1960; 13:217-237.
8. Lax P, Wendroff B. On the Stability of Difference Schemes. Communications on Pure and Applied Mathematics 1962; 15:363-371.
9. Lax P, Wendroff B. Difference schemes for hyperbolic equations with high order accuracy. Communications on Pure and Applied Mathematics 1964; 17:381-398.
10. Désidéri JA. The computation over unstructured grids of inviscid hypersonic reactive flow by upwind finite-volume schemes. In Computational Methods in Hypersonic Aerodynamics, Murthy TKS (ed.). Kluwer Academic Publishers: Dordrecht, 1991; 387-446.
11. Donea J. A Taylor-Galerkin method for convective transport problems. International Journal for Numerical Methods in Engineering 1984; 20:101-119.
12. Codina R. Comparison of some finite element methods for solving the diffusion-convection-reaction equation. Computer Methods in Applied Mechanics and Engineering 1998; 156:185-210.
13. Safjan A, Oden JT. High-order Taylor-Galerkin methods for linear hyperbolic systems. Journal of Computational Physics 1995; 120:206-230.
14. Argyris J, Doltsinis IS, Friz H. Hermes space shuttle: explorations of reentry aerodynamics. Computer Methods in Applied Mechanics and Engineering 1989; 73:1-51.
15. Argyris J, Doltsinis IS, Friz H. Studies on computational reentry aerodynamics. Computer Methods in Applied Mechanics and Engineering 1990; 81:257-289.
16. Argyris J, Doltsinis IS, Friz H, Urban J. An exploration of chemically reacting viscous hypersonic flow. Computer Methods in Applied Mechanics and Engineering 1991; 89:85-128.
17. Argyris J, Doltsinis IS, Friz H, Urban J. Physical and computational aspects of chemically reacting hypersonic flows. Computer Methods in Applied Mechanics and Engineering 1994; 111:1-35.
18. Bird RB, Stewart WE, Lightfoot EN. Transport Phenomena. Wiley: New York, 1960.
19. Gnoffo PA, Gupta ON, Shinn JL. Conservation equations and physical models for hypersonic air flows in thermal and chemical nonequilibrium. NASA TP-2867, 1989.
20. Park C. Convergence of computation of chemical reacting flows. In Thermophysical Aspects of Re-Entry Flows, Moss JN, Scott CD (eds). AIAA: New York, 1986; 478-513.
21. Yoon KT, Moon SY, Garcia SA, Heard GW, Chung TJ. Flowfield-dependent mixed explicit-implicit (FDMEI) methods for high and low speed and compressible and incompressible flows. Computer Methods in Applied Mechanics and Engineering 1998; 151(1-2):141-219.
22. Homung HG. Non-equilibrium dissociating nitrogen flow over spheres and circular cylinders. Journal of Fluid Mechanics 1972; 53(1):149-176.