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This thesis discusses the use of fast and robust solution methods for advection-dominated advection-diffusion-reaction equations coming from water quality problems. Therefore we look at fluxlimiters by the FCT method in combination with the local-theta approach to increase both the accuracy and the efficiency. The discretized equations (by the FVM method) are solved by means of iterative methods.

This is the user manual for MSetuser manual tle, which is being developed by Delft GeoSystems, a Deltares company. MSettle is a dedicated tool for predicting soil settlements by external loading. MSettle accurately and quickly determines the direct settlement, consolidation and creep along verticals in two-dimensional geometry. GeoDelft has been developing MSettle since 1992. Sponsorship from the Dutch Ministry of Transport, Public Works and Water Management (Rijkswaterstaat) and Senter/EZ (the latter through Delft Cluster projects and the GeoSafe project) has been vital for most model development and validation. Easy and efficient MSettle has proved itself to be a powerful tool in the everyday engineering practice of making settlement calculations. MSettle’s graphical user interface allows settlement calculations both frequent and infrequent MSettle users to analyze regular settlement problems extremely quickly. Complete functionality MSettle provides a complete functionality for determining settlements for regular two-dimensional problems. Well-established and advanced models can be used to calculate primary settlement/swelling, consolidation and secondary creep, with possible influence of vertical drains. Different kinds of external loads can be applied: non-uniform, trapezoidal, circular, rectangular, uniform and water loads. Drains (strips and planes) with optionally enforced consolidation by temporary dewatering or vacuum consolidation can be modelled. MSettle creates a comprehensive tabular and graphical output with settlements, stresses and pore pressures at the verticals that have to be defined.