Abstract
A variety of mathematical-physical problems is met in the study of estuarine physics. There is no “universal” method to solve all of them and ad-hoc considerations play a part in the choice and elaboration of numerical methods. This does not preclude, however, that some basic issues must be considered for each method. They can be combined under the heading of accuracy. Such considerations are certainly not restricted to finite-difference methods.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
ARAKAWA, A., Computational design for long-term numerical integration of the equations of fluid motion: two-dimensional incompressible flow, Part I, J. Comp. Physics 1 (1966), 119–143
BLUMBERG, A.F., Numerical model of estuarine circulation, Proc. ASCE, J. Hydr. Div., 103, HY3 (1977), 295–310
ELVIUS, T., and SUNDSTRÖM, A., Computationally efficient schemes and boundary conditions for a fine-mesh model based on the shallow-water equations, Tellus 25 (1973) 2, 132–156
ENGQUIST, B., and MAJDA, A., Absorbing boundary conditions for the numerical solution of waves, Math. Comp. 31, 139 (1977), 629–651
GARRETT, C., and GREENBERG, D., Predicting changes in tidal regime: the open boundary problem, J. Phys. Oceanography 7 (1977), 171–181
KERSSENS, P.J.M., and Rijn, L.C. van, Model for non-steady suspended sediment transport, IAHR Conference, Baden-Baden, 1977, also Delft Hydraulics Laboratory, Publ. 191
KREISS, H.O., and OLIGER, J., Methods for the approximate solution of time-dependent problems, World Meteor. Org., GARP Publ. Series no. 10, 1973
LEENDERTSE, J.J., Aspects of a computational model for long-period water wave propagation, RAND Memorandum RM-5294-PR, 1967
MAHMOOD, K., and YEVJEV1CH V. (eds.), Unsteady flow in open channels, Water Res. Publ., Fort Collins, Col., 1975
PAROT, J.M., Quelques aspects des écoulements bicouches quasi-horizontaux et de leur calcul, La Houille Blanche 31, 1 (1976), 53–58
PERRELS, P.A.J., and KARELSE, M., A two-dimensional numerical model for salt intrusion in estuaries, in: J.C.J. Nihoul (ed.) - Hydrodynamics of estuaries and fjords, Elsevier (1978), also Delft Hydraulics Laboratory, Publ. 177 (1977)
SUNDSTRÖM, A., Boundary conditions for limited area integration of the viscous forecast equations, Beiträge zur Physik der Atmosphäre, 50 (1977), 218–224
TRACOR, Inc., Estuarine modelling: an assessment, Water Quality Office, Environmental Protection Agency, 1971
VREUGDENHIL, C.B., Two-layer shallow-water flow in two dimensions, a numerical study, Submitted for publication in J. Comp. Phys., 1978
VREUGDENHIL, C.B., and VOOGT, J., Hydrodynamic transport phenomena in estuaries and coastal waters, scope of mathematical models, ASCE Symp. Modelling ’75, San Francisco, 1975, also Delft Hydraulics Laboratory, Publ. 155
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1980 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Vreugdenhil, C.B. (1980). Application of finite-difference methods to estuary problems. In: Sündermann, J., Holz, KP. (eds) Mathematical Modelling of Estuarine Physics. Lecture Notes on Coastal and Estuarine Studies, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46416-4_4
Download citation
DOI: https://doi.org/10.1007/978-3-642-46416-4_4
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-09750-1
Online ISBN: 978-3-642-46416-4
eBook Packages: Springer Book Archive