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Wave equation. The wave equation is a second-order linear partial differential equation for the description of waves or standing wave fields such as mechanical waves (e.g. water waves, sound waves and seismic waves) or electromagnetic waves (including light waves). It arises in fields like acoustics, electromagnetism, and fluid dynamics.
Computational electromagnetics (CEM), computational electrodynamics or electromagnetic modeling is the process of modeling the interaction of electromagnetic fields with physical objects and the environment using computers. It typically involves using computer programs to compute approximate solutions to Maxwell's equations to calculate antenna ...
Boussinesq approximation (water waves) Simulation of periodic waves over an underwater shoal with a Boussinesq-type model. The waves propagate over an elliptic-shaped underwater shoal on a plane beach. This example combines several effects of waves and shallow water, including refraction, diffraction, shoaling and weak non-linearity. In fluid ...
Perfectly matched layer. A FDTD scheme for a light scattering problem. The striped borders correspond to perfectly matched layers, which are used to simulate open boundaries by absorbing the outgoing waves. A perfectly matched layer (PML) is an artificial absorbing layer for wave equations, commonly used to truncate computational regions in ...
Shallow-water equations, in its non-linear form, is an obvious candidate for modelling turbulence in the atmosphere and oceans, i.e. geophysical turbulence. An advantage of this, over Quasi-geostrophic equations, is that it allows solutions like gravity waves, while also conserving energy and potential vorticity.
For the academic journal, see Magnetohydrodynamics (journal). In physics and engineering, magnetohydrodynamics (MHD; also called magneto-fluid dynamics or hydromagnetics) is a model of electrically conducting fluids that treats all interpenetrating particle species together as a single continuous medium.
See[1]for similar simulations. Smoothed-particle hydrodynamics(SPH) is a computational method used for simulating the mechanics of continuum media, such as solid mechanicsand fluidflows. It was developed by Gingoldand Monaghan[2]and Lucy[3]in 1977, initially for astrophysical problems.
The Vienna Ab initio Simulation Package, better known as VASP, is a package written primarily in Fortran for performing ab initio quantum mechanical calculations using either Vanderbilt pseudopotentials, or the projector augmented wave method, and a plane wave basis set. [2] The basic methodology is density functional theory (DFT), but the code ...
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