ENO-DISCRETIZATIONS IN MOL-APPLICATIONS - SOME EXAMPLES IN RIVER HYDRAULICS

Hydrological processes, like the water flow or transport of soluble su bstances in rivers, are usually described by partial differential equa tions (PDEs). The numerical solution of these equations offer various fields of important applications, e.g., the prediction of water stages during floods or low water periods (optimal load capacity of the ship s) and the prediction of the fate of pollution plumes in case of an ac cident. The aim is to develop numerical schemes that are applicable to mostly all those simulations and well-tested with respect to their st ability and efficiency. The method of lines (MOL)-approach was found t o be a suitable numerical technique to solve the whole class of the di scussed problems. The subject of this paper is the comparison of diffe rent numerical schemes for the space discretizations in the MOL-approa ch, in particular the ENO-discretizations which are found to be very u seful even when sharp gradients occur. (C) 1998 Elsevier Science B.V. and IMACS. All rights reserved.