New Front Limitation Algorithm

Due to complexity of the numerical model of the transport problem and the large number of unknown parameters, existing techniques for parameter estimation cannot be applied successfully without modifications to reduce the computational time by maintaining sufficient accuracy. This paper presents a new effective approach (so-called FRONT LIMITATION algorithm) to solve the advection-dispersion equation without restriction for grid PECLET number. The method prevents numerical dispersion, brings slight grid-orientation effect and it only has to take into consideration a weak COURANT number and source/sink limits.The technique utilizes the control volume method with the full implicit diffusion-dispersion and source/sink terms and with the special explicit handling of the advection term.The performance of the algorithm using models for one-, two- and three-dimensional examples is examined.The Front Limitation algorithm is considered as the basis of a parameter identification method with sensitivity analysis.