Search Results for "finite difference"

MATLAB code that generates all figures in [Almquist and Dunham, 2020, https://doi.org/10.1016/j.jcp.2020.109294 ]. The paper considers narrow-stencil summation-by-parts finite difference methods and derives new penalty terms for boundary and interface conditions. The new penalty terms are significantly less stiff than the previous state-of-the-art method on curvilinear grids. On highly skewed grids, there may be an order of magnitude or more difference in the time-step restriction.

...The conceptual model and computer native code was developed by Rushton and Redshaw (1979), Rathod and Rusthon (1984 and 1992), and the graphical user interface was developed by our Group Member, the hydrogeologist Noél Hernández Laloth. The model, based on finite-difference approximations using the “two-zone” conceptual approach, can provide a greater flexibility than analytical methods, because the aquifer system is approximated as two horizontal permeable zones with less permeable intermediate layers. When this approximation is adopted, it is possible to represent both radial and vertical components of flow (Rathod and Rusthon, 1992). ...

Seismic Wave Propagation in 2D acoustic or elastic media using the following methods: Staggered-Grid Finite Difference Method, Spectral Element Method, Interior-Penalty Discontinuous Galerkin Method, and Isogeometric Method.