%0 Journal Article %1 lynch1979equation %A Lynch, Daniel R. %A Gray, William G. %D 1979 %J Computers & Fluids %K 76b15-water-waves-gravity-waves 86a05-hydrology-hydrography-oceanography %N 3 %P 207-228 %R 10.1016/0045-7930(79)90037-9 %T A wave equation model for finite element tidal computations %U https://www.sciencedirect.com/science/article/pii/0045793079900379 %V 7 %X A shallow water wave equation is developed from the primitive two-dimensional shallow water equation. A finite element model based on this equation and the primitive momentum equation is developed. A finite difference formulation is used in the time domain which allows the model to be implicit or explicit while still centered in time. Results obtained with linear triangles and quadratic quadrilaterals are reported, and compare well with analytic solutions. The model incorporates all of the economical advantages of earlier models, and errors due to short wavelength spatial noise are suppressed without recourse to artificial means.

@article{lynch1979equation, abstract = {A shallow water wave equation is developed from the primitive two-dimensional shallow water equation. A finite element model based on this equation and the primitive momentum equation is developed. A finite difference formulation is used in the time domain which allows the model to be implicit or explicit while still centered in time. Results obtained with linear triangles and quadratic quadrilaterals are reported, and compare well with analytic solutions. The model incorporates all of the economical advantages of earlier models, and errors due to short wavelength spatial noise are suppressed without recourse to artificial means.}, added-at = {2021-08-11T16:52:18.000+0200}, author = {Lynch, Daniel R. and Gray, William G.}, biburl = {https://www.bibsonomy.org/bibtex/21dd64f75c880ea98af2dc673b7649b35/gdmcbain}, doi = {10.1016/0045-7930(79)90037-9}, interhash = {57f69b458590b69360e44f289ecec393}, intrahash = {1dd64f75c880ea98af2dc673b7649b35}, issn = {0045-7930}, journal = {Computers & Fluids}, keywords = {76b15-water-waves-gravity-waves 86a05-hydrology-hydrography-oceanography}, number = 3, pages = {207-228}, timestamp = {2021-08-11T16:52:18.000+0200}, title = {A wave equation model for finite element tidal computations}, url = {https://www.sciencedirect.com/science/article/pii/0045793079900379}, volume = 7, year = 1979 }