Lower-upper implicit schemes with multiple grids for the Euler equations

AIAA Journal

Volumn 25, Issue 7, 1987, Pages 929-935

  Jameson, Antony ^a   Yoon, Seokkwan ^a,b  

^a PRINCETON UNIVERSITY   (United States)

^b JACOBS TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL TECHNIQUES;

EULER EQUATIONS; IMPLICIT SCHEMES; MUTIGRID METHOD;

FLOW OF FLUIDS;

EID: 0023378605     PISSN: 00011452     EISSN: None     Source Type: Journal    
DOI: 10.2514/3.9724     Document Type: Article

References (9)

1. Magnus, R. and Yoshihara, H., “Inviscid Transonic Flow over Airfoils,” AIAA Journal, Vol. 8, Dec. 1970, pp. 2157-2162.
2. MacCormack, R.W., “The Effect of Viscosity in Hypervelocity Impact Cratering,” AIAA Paper 69-0354, 1969.
3. Jameson, A., Schmidt, W., and Turkel, E., “Numerical Solution of the Euler Equations by Finite Volume Methods using Runge-Kutta Time Stepping Schemes,” AIAA Paper 81-1259, 1981.
4. Jameson, A. and Yoon, S., “Multigrid Solution of the Euler Equations using Implicit Schemes,” AIAA Journal, Vol. 24, Nov. 1986, pp. 1737-1743.
5. Jameson, A. and Turkel, E., “Implicit Schemes and LU Decompositions,” Mathematics of Computation, Vol. 37, No. 156, 1981, pp. 385-397.
6. Buratynski, E.K. and Caughey, D.A., “An Implicit LU Scheme for the Euler Equations Applied to Arbitrary Cascades,” AIAA Paper 84-0167, 1984.
7. Steger, J.L. and Warming, R.F., “Flux Vector Splitting of the Inviscid Gasdynamic Equations with Application to Finite Difference Methods” Journal of Computational Physics, Vol. 40, 1981, pp. 263-293.
8. Yoon, S., “Numerical Solution of the Euler Equations by Implicit Schemes with Multiple Grids,” Ph.D. Thesis, MAE Rept. 1720-T, Princeton University, Princeton, NJ, Sept. 1985.
9. Kreiss, H.O., “Initial Boundary Value Problems for Hyperbolic Systems,” Communications on Pure and Applied Mathematics, Vol. 23, 1970, pp. 277-298.