where the state vector and the flux vector are defined in (6) and (7), respectively. In the following we explicitly give both the eigenvalues and the right and left eigenvectors of the Jacobi matrix only (the cases i = y, z are easily obtained by symmetry considerations).
The eigenvalues of matrix are
A complete set of right-eigenvectors is
The corresponding complete set of left-eigenvectors is
where is the determinant of the matrix of right-eigenvectors, i.e.,
For an ideal gas equation of state , i.e., , and hence for .
|Numerical Hydrodynamics in Special Relativity
Jose Maria Martí and Ewald Müller
© Max-Planck-Gesellschaft. ISSN 1433-8351
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