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The incompressible boundary layer on a flat plate in the absence of a pressure gradient is usually referred to as the Blasius boundary layer. The steady, laminar boundary layer developing downstream of the leading edge eventually becomes unstable to Tollmien-Schlichting waves and finally ... 詳細を見る

This example shows how to model a load which varies in space and time. A series of load pulses travel along a beam which is supported at equal distances. For some combinations of the traveling speed of the load pulses and the spacing between them, it is possible to excite resonances in ... 詳細を見る

Striking a drum excites a spectrum of vibration modes that together make up the instrument’s characteristic sound or acoustic signal. These vibration modes correspond to the eigenmodes, or eigenfunctions, of the drum’s membrane. Thus you can study this problem by solving eigenvalue ... 詳細を見る

Global equations are a way of adding an additional equation to a model. A global equation can be used to describe a load, constraint, material property, or anything else in the model that has a uniquely definable solution. In this example, a structural mechanics model of a spring is ... 詳細を見る

A goal for many applications is to predict physics in thin structures, such as shells, without modeling the thickness of the structure. This is because large aspect ratios can cause meshing and geometry analysis problems. This model demonstrates how to use the tangential derivative ... 詳細を見る

The Shallow Water equations are frequently used for modeling both oceanographic and atmospheric fluid flow. Models of such systems lead to the prediction of areas eventually affected by pollution, coast erosion and polar ice-cap melting. Comprehensive modeling of such phenomena using ... 詳細を見る

The first stop for polluted water entering a water work is normally a large tank, where large particles are left to settle. Generally, gravity settling is an economical method of separating particles. If the fluid in the tank is moving at a controlled low velocity, the particles can be ... 詳細を見る

In modeling of transport by diffusion or conduction in thin layers, we often encounter large differences in dimensions of the different domains in a model. If the modeled structure is a so-called sandwich structure, we can replace the thinnest geometrical layers with a thin layer ... 詳細を見る

Large FEM simulations can be costly and, if repeated simulations are needed, it can be beneficial to use reduced-order models (ROMs). ROMs are typically valid only in the vicinity of their design conditions and have lower accuracy, but the simulation time is significantly shorter. The ... 詳細を見る

This model couples the Navier Stokes equations and the heat transfer equations to examine density driven flow of free fluids. Here the fluid is in a square cavity with a heated wall. The buoyancy force is a Boussinesq term added to the Navier-Stokes equations. The equation is ... 詳細を見る