Enthalpy damping for the steady Euler equations
Abstract
For inviscid steady flow problems where the enthalpy is constant at steady state, it was previously proposed to use the difference between the local enthalpy and the steady state enthalpy as a driving term to accelerate convergence of iterative schemes. This idea is analyzed, both on the level of the partial differential equation and on the level of a particular finite difference scheme. It is shown that for the twodimensional unsteady Euler equations, a hyperbolic system with eigenvalues on the imaginary axis, there is no enthalpy damping strategy which moves all the eigenvalues into the open left half plane. For the numerical scheme, however, the analysis shows and examples verify that enthalpy damping is potentially effective in accelerating convergence to steady state.
 Publication:

Applied Numerical Mathematics
 Pub Date:
 September 1985
 Bibcode:
 1985ApNM....1..417J
 Keywords:

 Compressible Flow;
 Computational Fluid Dynamics;
 Damping;
 Enthalpy;
 Euler Equations Of Motion;
 Inviscid Flow;
 Steady Flow;
 Eigenvalues;
 Finite Difference Theory;
 Hyperbolic Systems;
 Partial Differential Equations;
 RungeKutta Method;
 Fluid Mechanics and Heat Transfer