Distributed velocity method of solving the convective-dispersion equation: 2. Error analysis and comparison with other methods

This is the second part of a two-part paper presenting a new method for treating convective-dispersive transport. The motivation for developing this technique arises from the demands of performing a risk assessment for a nuclear waste repository. These demands include computational efficiency over a relatively large range of Peclet numbers, the ability to handle chains of decaying radionuclides with rather extreme contrasts in both solution velocities and half lives and the ability to treat leach- or solubitity-limited sources. To the extent it has been tested to date, the distributed velocity method (DVM) appears to satisfy these demands. This part presents an error analysis employing statistical sampling and regression analysis techniques, and comparisons of DVM with other methods for convective-dispersive transport.