Sentence examples for embedded grids from inspiring English sources

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The aims of the paper are to obtain necessary and sufficient conditions ofexistence and smoothness for non-polynomial spline spaces of fifth order, toestablish the uniqueness of the B φ -spline spaces in the class C4among mentioned spaces (under condition of fixed grid), and toprove the embedding of the B φ -spline spaces corresponding to embedded grids.

The aims of this paper are to obtain necessary and sufficient conditions of existenceand smoothness for non-polynomial spline spaces of fifth order, to establish theuniqueness of the B φ -spline spaces in the class C4among mentioned spaces (of fixed grid), and to prove the embedding ofthe B φ -spline spaces corresponding to embedded grids.

To ensure computational efficiency, multigrid solution is made via a framework of embedded grids for local grid refinement.

This paper describes a methodology based on unstructured embedded grids for patient-specific modeling of stented cerebral aneurysms, demonstrates how the methodology can be used to address specific clinical questions, and discusses remaining technical issues.

The numerical results for Example 5.1 and 5.2 obtained by MG and EXFMG methods with five embedded grids are listed in Tables 1 and 2. When fixing (32 times 32) as the coarsest grid (Omega _{1}), Tables 3 8 list the numerical results of EXFMG method with the stopping criteria epsilon_{j}=10^{j-L-10}, quad j=2,3,ldots,L, (15) on each grid (Omega_{j}), (j=2,3,ldots,L).

We introduce a two-level and three-level least square extrapolation method that works on nonmatching embedded grid solutions via spline interpolation.

Meanwhile, an embedded grid system is designed, in which grids generated around fuselage and actuator disk are regarded as background grid and minor grid respectively, and a new method is presented for 'donor searching' and 'hole cutting' during grid assembling.

A method combining rotor actuator disk model and embedded grid technique is presented in this paper, aimed at predicting the flow fields and aerodynamic characteristics of tilt rotor aircraft in conversion mode more efficiently and effectively.

Additionally, Fig. 2 shows the four-step workflow of the embedded grid management.

Computations of airfoil wing and wing-body test cases show the practical usefulness of the embedded Cartesian grids with the small-perturbation boundary conditions approach.