Linear bicharacteristic schemes without dissipation

SIAM Journal on Scientific Computing

Volumn 19, Issue 5, 1998, Pages 1405-1427

  Roe, Philip ^a,b  

^a UNIVERSITY OF MICHIGAN   (United States)

^b NASA LANGLEY RESEARCH CENTER   (United States)

Author keywords

Bicharacteristics; Wave propagation

Indexed keywords

EID: 0001410931     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827594272785     Document Type: Article

References (18)

1. A. ISERLES, Generalised leapfrog schemes, IMA J. Numer. Anal., 6 (1986), pp. 381-392.
2. J. P. THOMAS, An Investigation of the Upwind Leapfrog Method for Scalar Advection and Acoustic/Aeroacoustic Wave Propagation Problems, Ph.D. Thesis, Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, 1996.
3. B. T. NGUYEN, Investigation of Three-Level Finite-Difference Time-Domain Methods for Multidimensional Acoustics and Electromagnetics, Ph.D. Thesis, Department of Aerospace Engineering, University of Michigan, Ann Arbor, MI, 1996.
4. S.-C. CHANG, The method of space-time conservation element and solution element - A new approach for solving the Euler and Navier-Stokes equations, J. Comput. Phys., 119 (1995), pp. 295-324.
5. L. N. TREFETHEN, Group velocity in finite-difference schemes, SIAM Review, 24 (1982), pp. 113-136.
6. J. P. THOMAS, C. KIM, AND P. L. ROE, Progress toward a new computational scheme for aeroacoustics, AIAA paper 95-1758, in 12th AIAA Computational Fluid Dynamics Conference, San Diego, 1995, AIAA CP 956, 1995.
7. P. I. CHUSKIN, Numerical methods of characteristics for three-dimensional supersonic flows, in Progress in Aeronautical Sciences, Vol. 9, Pergammon, Elmsford, NY, 1968.
8. R. CAMARERO, Numerical Solution of Internal and External Flows at High Incidence, Ph.D. Thesis, McGill University, Montreal, Canada, 1973.
9. I. H. PARPIA, C. P. KENTZER, AND M. H. WILLIAMS, Multidimensional time-dependent method of characteristics, Comput. & Fluids, 16 (1988), pp. 105-117.
10. A. DADONE AND G. MORETTI, Fast Euler solver for transonic airfoils, Part I, Theory, AIAA J., 26 (1988), pp. 409-416.
11. R. COURANT AND D. HILBERT, Methods of Mathematical Physics, Interscience, New York, 1962.
12. J.-P. BERENGER, A perfectly-matched layer for the absorption of electromagnetic waves, J. Comput. Phys., 114 (1994), pp. 185-200.
13. T. HAGSTROM AND S. I. HARIHARAN, Progressive Wave Expansions and Open Boundary Conditions, ICOMP Report 95-26, NASA CR 198432, NASA Lewis Research Center, Cleveland, OH, 1995.
14. L. E. KINSLER, A. B. COPPENS, A. R. FREY, AND J. V. SANDERS, Fundamentals of Acoustics, John Wiley, New York, 1982.
15. A. BAYLISS, K. E. JORDAN, B. J. LEMESURIER, AND E. TURKEL, A fourth-order accurate finitedifference scheme for the computation of elastic waves, Bull. Seismological Soc. Amer., 76 (1986), p. 115.
16. J. A. HUDSON, The Excitation and Propagation of Elastic Waves, Cambridge University Press, Cambridge, 1980.
17. B. NGUYEN, AND P. L. ROE, Application of an upwind leapfrog method for electromagnetics, in 10th Annual Review of Progress in Applied Computational Electromagnetics, Vol. 1, Applied Electromagnetics Society, Naval Postgraduate School, Monterey, CA, 1994, pp. 446-458.
18. K. YEE, Numerical solution of initial-boundary value problems involving Maxwell's equations in isotropic media, IEEE Trans. Antennas and Propagation, AP-16 (1966), pp. 302-307.