Reformulation of the method of characteristics for multidimensional flows

  • Czeslaw P. Kentzer
Contributed Papers
Part of the Lecture Notes in Physics book series (LNP, volume 141)


The method of characteristics is reformulated so as to simplify it conceptually and thus render it easily programable for multidimensional computations. A transformation to characteristic coördinates and a change in notation allows one to coach the theory of characteristics in the language of geometrical wave theory or of the particle mechanics. The dependent variables (\(\vec u\),p,p) are given uniquely in terms of characteristic coördinates, while the latter satisfy the Hamiltonian equations. Computations with the method of characteristics are reduced to the determination of Hamiltonian trajectories in space-time, a task not unduely complex even in multidimensional cases.


Nonlinear Boundary Condition Riemann Invariant Particle Mechanic Outflow Direction Algebraic Boundary 
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  1. COURANT, R. & HILBERT D. 1962 Methods of Mathematical Physics. II. Interscience.Google Scholar
  2. KENTZER, C.P. 1971. Lecture Notes in Physics. 8, 108–113, Springer-Verlag.Google Scholar
  3. KENTZER, C.P. 1978 Arch. Mech (Arch. Mech. Stos.). 31, 2, 295–299.Google Scholar
  4. LIGHTHILL, M.J. 1965 J. Inst. Maths Applics. 1, 1, 1–28.Google Scholar
  5. OLIGER, J. & SUNDSTRÖM, A. 1978 SIAM J. Appl. Maths. 35, 419–446.CrossRefGoogle Scholar
  6. RUSANOV, V.V. 1963 Zh. Vych. Mat. i Mat. Fiz. 3, 3, 508–527.Google Scholar

Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • Czeslaw P. Kentzer
    • 1
  1. 1.Purdue UniversityWest LafayetteUSA

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