Sentence examples for moving frame of from inspiring English sources

A coupled finite element-boundary element model of the track and subsoil is employed, adopting a formulation in the moving frame of reference following the vehicle.

Under a generalized coordinate transformation with arbitrary grid velocity, the gas-kinetic BGK equation is reformulated in a moving frame of reference.

A three-dimensional boundary element formulation of an incompressible viscoelastic layer of finite thickness is proposed, in a moving frame of reference.

Nonlinear rotor dynamic is characterized by parametric excitation of both linear and nonlinear terms caused by centrifugal and Coriolis forces when formulated in a moving frame of reference.

This calculation is carried out in the frequency domain, and the major complication is the need to use a moving frame of reference.

The hydrodynamics of the system are described from a fixed frame of reference or Eulerian view point and the energy and component flows are described from a moving frame of reference or Lagrangian view point.

Cartan had investigated how much may be accomplished in differential geometry by using the idea of moving frames of reference.

In this paper, we present a mathematical approach that is based on modified equations and the method of equivariant moving frames for construction of high order accurate invariant finite difference schemes that preserve Lie symmetry groups of underlying partial differential equations (PDEs).

Applying the method of moving frames to Maxwell's equations yields two important advancements for scientific computing.

Finally, the moving frame will provide aneffective algorithm of computation for this differential geometry in infinite dimensions.

The position of the moving frame relative to the inertial frame is specified by the rotation matrix, parameterised by a rotational vector.