Discretized Newton-relaxation solution of high resolution flux-difference split schemes

10th Computational Fluid Dynamics Conference, 1991

Volumn , Issue , 1991, Pages

  Whitfield, David L ^a   Taylor, Lafe K ^a  

^a MISSISSIPPI STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; FLUID DYNAMICS; INCOMPRESSIBLE FLOW; JACOBIAN MATRICES; NONLINEAR EQUATIONS; TWO PHASE FLOW;

FLUX DIFFERENCE; HIGH RESOLUTION; IMPLICIT SOLUTIONS; NON-LINEAR SYSTEMS OF EQUATIONS; NUMERICAL FLUX; NUMERICAL RESULTS; NUMERICAL SCHEME; SOLUTION METHODS;

NUMERICAL METHODS;

EID: 85006371687     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (21)

1. Simpson, L.B., “Unsteady Three-Dimensional Thin-Layer Navier-Stokes Solutions on Dynamic Blocked Grids”, PhD Dissertation, Mississippi State University, December 1988.
2. Roe, P.L., “Approximate Riemann Solvers, Parameter Vector, and Difference Schemes”, Journal of Computational Physics, Vol. 43, pp. 357-372, 1981.
3. Barth, T.J., “Analysis of Implicit Local Linearization Techniques for Upwind and TVD Algorithms”, AIAA Paper No. 87-0595, January 1987.
4. Belk, D.M. and Whitfield, D.L., “Three-Dimensional Euler Solutions on Blocked Grids Using an Implicit Two-Pass Algorithm”, AIAA Paper No. 87-0450, January 1987.
5. Steger, J.L. and Warming, R.E, “Flux Vector Splitting of the Inviscid Gasdynamic Equations with Application to Finite Difference Methods”, Journal of Computational Physics, Vol. 40, pp. 263-293, 1981.
6. van Leer, B., Thomas, J.L., Roe, P.L., and New-some, R.W., “A Comparison of Numerical Flux Formulas for the Euler and Navier-Stokes Equations”, AIAA Paper No. 87-1104-CP, June 1987.
7. van Leer, B., Private Communication, August 1990.
8. Ortega, J.M. and Rheinboldt, W.C., Iterative Solution of Nonlinear Equations in Several Variables, Academic Press, New York, 1970.
9. Dennis, J.E., Jr. and Schnabel, R.B., Numerical Methods for Unconstrained Optimization and Nonlinear Equations, Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1983.
10. Whitifeld, D.L., “Newton-Relaxation Schemes for Nonlinear Hyperbolic Systems”, Engineering and Industrial Research Station Report MSSU-EIRS-ASE-90-3, Mississippi State University, Mississippi State, MS, October 1990.
11. Samarskii, A. A. and Nikolaev, E.S., Numerical Methods for Grid Equations, Volume II, Iterative Methods, Birkhauser Verlag, Boston, 1989.
12. Hirsch, C., Numerical Computation of Internal and External Flows, Volume 2: Computational Methods for Inviscid and Viscous Flows, John Wiley & Sons, New York, 1990.
13. Whitfield, D.L., Janus, J.M., and Simpson, L.B., “Implicit Finite Volume High Resolution Wave-Split Scheme for Solving the Unsteady Three-Dimensional Euler and Navier-Stokes Equations on Stationary or Dynamic Grids”, Engineering and Industrial Research Station Report MSSU-EIRS-ASE-88-2, Mississippi State University, Mississippi State, MS February 1988.
14. Osher, S. and Chakravarthy, S.R., “Very High Order Accurate TVD Schemes”, ICASE Report No. 84-44, September 1984.
15. Chakravarthy, S.R. and Osher, S., “A New Class of High Accuracy TVD Schemes for Hyperbolic Conservation Laws”, AIAA Paper No. 85-0363, January 1985.
16. Chakravarthy, S.R. and Szema, K.Y., “An Euler Solver for Three-Dimensional Supersonic Flows with Subsonic Pockets”, AIAA Paper No. 85-1703, July 1985.
17. Sweby, P.K., “High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws”, SLAM Journal of Numerical An, Vol. 21, No. 5, pp. 995-1011, October 1984.
18. Cook, P.H., McDonald, M.A., and Firmin, C.C.P., “Airfoil RAE 2822-Pressure Distributions, and Boundary Layer and Wake Measurements”, Experimental Data Base for Computer Program Assessment, AGARD AR-138, 1979.
19. Janus, J.M., “Advanced 3-D CFD Algorithm for Tbrbomachinery”, Ph.D. Dissertation, Mississippi State University, Mississippi State, MS, May 1989.
20. Janus, J.M. and Whitfield, D.L., “Counterrotating Prop-Fan Simulations which Feature a Relative-Motion Multiblock Grid Decomposition Enabling Arbitrary Time Steps”, AIAA Paper No. 90-0687, January 1990.
21. Huang, T.T., Groves, N.C., and Belt, G., “Boundary-Layer Flow on an Axisymmetric Body with an Inflected Stern”, David W. Thylor Naval Ship Research and Development Center, Report Number DTNSRDC-80/064, August 1980.