Sentence examples for moving mesh function from inspiring English sources

The moving mesh function (x xi,t)) satisfies certain parabolic equations which are called moving mesh partial differential equations (MMPDEs).

The method is based on a variational moving mesh PDE for the phase function, coupled with efficient semi-implicit treatments for advancing the mesh function, the phase function and the velocity and pressure in a decoupled manner.

One key issue in using moving mesh methods is to choose the monitor function.

Results are presented that illustrate the weaknesses in moving mesh methods based on equidistribution of some popular monitor functions.

The strongly coupled unsteady fluid/cylinder interactions are captured by implementing the moving mesh technology through integration of an in-house developed User Define Function (UDF) into the main code of the commercial CFD solver Fluent.

It is shown that knowledge of the differential equation and the travelling wave solution may be used to construct a monitor function that yields accurate results with suitably chosen moving mesh methods.

In order to ensure the generation of a smooth, hence more reliable, moving mesh, we add correction terms in the choice of monitor functions.

In the simulation a new moving mesh algorithm is designed to deal with the difficulty caused by the delta function in the traveling heat source.

An evolution equations of mesh intervals is a discrete analogue of a conservation law of an original equation, and a set of mesh intervals corresponds to a conserved density which play an important role in generation of adaptive moving mesh.

An evolution equations of mesh intervals is a discrete analogue of a conservation law of an original equation, and a set of mesh intervals corresponds to a conserved density which play a key role in generation of adaptive moving mesh.

In moving mesh methods, physical PDEs and a mesh equation derived from equidistribution of an error metrics (so-called the monitor function) are simultaneously solved and meshes are dynamically concentrated on steep regions (Lim et al., 2001).