  A computational fluid model is developed to study waves and instabilities. A
new technique involving initial perturbations in configuration space have been
implemented to excite the plasma waves; i.e. the perturbations acting similar
to a random velocity distribution in particle in cell (PIC) codes. This forms a
new powerful tool for investigation of many waves arising in both thermal and
cold plasmas and as such will allow investigation of problems demanding scales
and resolution not yet possible by PIC codes. The model predicts Langmuir
waves, two stream instabilities, nonlinear wave-wave interaction, and the Debye
screening effects. The agreement between theory and simulation where analytic
results are available are excellent.
