https://wiki.adcirc.org/index.php?action=history&feed=atom&title=ADCIRC_numerics 2026-07-26T21:37:31Z Revision history for this page on the wiki MediaWiki 1.38.1 https://wiki.adcirc.org/index.php?title=ADCIRC_numerics&diff=369&oldid=prev 2019-03-27T11:29:24Z

<p>Created base page</p> <p><b>New page</b></p><div>ADCIRC is both a 2-dimensional (2D) and 3D model, and the numerical formulations of these are somewhat different. The best documentation of the base model numerics for both is currently in the [https://adcirc.org/files/2018/11/adcirc_theory_2004_12_08.pdf ADCIRC Theory Report]. ADCIRC is finite element in space and finite difference in time. Solution can be carried out either semi-implicitly or in [[IM|lumped explicit]] mode, with the latter being faster but somewhat less accurate and less stable. If not operating in lumped explicit mode, time weights at t-1, t, and t+1 can be specified in the user in the [[fort.15 file]], and a Jacobi solver is used to solve the mass matrix. <br /> <br /> ==2D ADCIRC Numerics==<br /> 2D ADCIRC is based on a form of the shallow water equations, which includes the continuity equation and the horizontal momentum equations. The formulation of the continuity equation relies on the Generalized Wave Continuity Equation, or GWCE, which helps deal with the spurious oscillations that arise from the primitive Galerkin finite element formulation. <br /> <br /> ==3D ADCIRC Numerics==</div>

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