Concepts of modeling ion conductors by means of molecular dynamics simulations are outlined and exemplified by a small series of applications. Computational studies offer atomic level of detail insights into ionic mobility and thus help to rationalize experimental findings in particular for complex ion conduction mechanisms. Standard techniques are discussed within their thermodynamic context, i.e., chemical potentials, conductivity and activation energies. The limitations of molecular dynamics simulations are defined by statistics and the accuracy in evaluating atomic interactions.