Contributions to Books:
A. Jüngel, J. Milisic:
"Full compressible Navier-Stokes equations for quantum fluids: derivation AND NUMERICAL SOLUTION";
in: "ASC Report 02/2011",
issued by: Institute for Analysis and Scientific Computing;
Vienna University of Technology,
Navier-Stokes equations for compressible quantum fluids, including
the energy equation, are derived from a collisional Wigner equation, using
the quantum entropy maximization method of Degond and Ringhofer. The viscous
corrections are obtained from a Chapman-Enskog expansion around the
quantum equilibrium distribution and correspond to the classical viscous stress
tensor with particular viscosity coefficients depending on the particle density
and temperature. The energy and entropy dissipations are computed and discussed.
Numerical simulations of a one-dimensional tunneling diode show the
stabilizing effect of the viscous correction and the impact of the relaxation
terms on the current-voltage charcteristics.
Electronic version of the publication:
Created from the Publication Database of the Vienna University of Technology.