Euler's flux jacobians

C.S.Venkatasubban

Hi:

In a celebrated paper by Beam & Warming, it was shown that a similarity transformation that diagonalizes one of these Jacobians can be developed such that it symmetrizes the remaining two jacobians occuring in the 3-D Euler equations. This holds for the particular case of a primitive variable or conservation variables( U ) formulation.

My question is this. Is it possible to determine a transformation of variables V= V(U), and the associated Euler Flux Jacobians, such that all 3 Jacobians are simultaneously diagonalized by the same similarity transformation. In other words, can the 3 Flux flux jacobians have the same eigen-vectors ??

An affirmative answer to this question will lead to new, improved methods for the solution of the Euler equations.

C.S.Venkatasubban Engineering Specialist Computational Aerodynamics Learjet Inc.