Three-dimensional upwind parabolized Navier-Stokes code for real gas flows

A real gas, upwind, parabolized Navier-Stokes (PNS) code has been developed to compute the three-dimensional hypersonic flow of equilibrium air around various body shapes. The new code is an extension of the upwind (perfect gas) PNS code of Lawrence et al. (1986). The upwind algorithm is based on Roe's (1981) flux-difference splitting scheme which has been modified to account for real gas effects using the nearly exact approach of Vinokur and Liu (1988). Simplified curve fits are employed to obtain the thermodynamic and transport properties of equilibrium air. The new code has been validated by computing the M-infinity = 25 laminar flow of air over cones at various angles of attack. The results of these computations are compared with the results from a conventional centrally-differenced, real gas PNS code and the previous axisymmetric, upwind, real gas code. The agreement is excellent in all cases.

[1]  Marcel Vinokur,et al.  Equilibrium gas flow computations. II - An analysis of numerical formulations of conservation laws , 1988 .

[2]  P. Buelow,et al.  Upwind parabolized Navier-Stokes code for chemically reacting flows , 1988 .

[3]  J. C. Tannehill,et al.  Calculation of supersonic viscous flow over delta wings with sharp subsonic leading edges , 1978 .

[4]  J. Anderson,et al.  Hypersonic and High-Temperature Gas Dynamics , 2019 .

[5]  Y. Liu,et al.  Nonequilibrium flow computations. I. an analysis of numerical formulations of conversation laws , 1989 .

[6]  D. Chaussee,et al.  An upwind algorithm for the parabolized Navier-Stokes equations , 1986 .

[7]  Kuo-Yen Szema,et al.  Euler solver for three-dimensional supersonic flows with subsonic pockets , 1985 .

[8]  M. Liou.  Three dimensional PNS solutions of hypersonic internal flows with equilibrium chemistry , 1989 .

[9]  H. Kamath,et al.  Parabolized Navier-Stokes algorithm for chemically reacting flows , 1989 .

[10]  P. A. Gnoffo.  Hypersonic flows over biconics using a variable-effective-gamma, Parabolized-Navier-Stokes code , 1983 .

[11]  Dinesh K. Prabhu,et al.  Numerical solution of Space Shuttle Orbiter flowfield including real-gas effects , 1986 .

[12]  R. F. Warming,et al.  An Implicit Factored Scheme for the Compressible Navier-Stokes Equations , 1977 .

[13]  T. Chitsomboon,et al.  A 3D-PNS computer code for the calculation of supersonic combusting flows , 1988 .

[14]  Scott L. Lawrence,et al.  Application of an upwind algorithm to the three-dimensional parabolized Navier-Stokes equations , 1987 .

[15]  Phillip Colella,et al.  Efficient Solution Algorithms for the Riemann Problem for Real Gases , 1985 .

[16]  B. Grossman,et al.  An analysis of flux-split algorithms for Euler's equations with realgases , 1987 .

[17]  Charles L. Merkle,et al.  A set of strongly coupled, upwind algorithms for computing flows in chemical nonequilibrium , 1989 .

[18]  J. E. Holcomb,et al.  An investigation of film cooling on a hypersonic vehicle using a PNSflow analysis code , 1985 .

[19]  K. J. Weilmuenster,et al.  Simplified curve fits for the thermodynamic properties of equilibrium air , 1986 .

[20]  John C. Tannehill,et al.  Simplified curve fits for the transport properties of equilibrium air , 1987 .

[21]  R. Agarwal,et al.  Efficient finite-volume parabolized Navier-Stokes solutions for three-dimensional, hypersonic, chemically reacting flowfields , 1989 .

[22]  J. C. Tannehill,et al.  An upwind parabolized Navier-Stokes code for real gas flows , 1988 .

[23]  Scott L. Lawrence,et al.  Three-dimensional, upwind, parabolized Navier-Stokes code for chemically reacting flows , 1991 .

[24]  Dinesh K. Prabhu,et al.  Numerical solution of Space Shuttle Orbiter flow field including real gas effects , 1984 .

[25]  R. Pletcher,et al.  Computational Fluid Mechanics and Heat Transfer. By D. A ANDERSON, J. C. TANNEHILL and R. H. PLETCHER. Hemisphere, 1984. 599 pp. $39.95. , 1986, Journal of Fluid Mechanics.

[26]  Dinesh K. Prabhu,et al.  A new PNS code for three-dimensional chemically reacting flows , 1987 .

[27]  Dinesh K. Prabhu,et al.  A New PNS Code for Chemical Nonequilibrium Flows , 1987 .