Sentence examples for model problem the from inspiring English sources

In our model problem, the loading comes out from a pressurized damaged region embedded into the rock, which is used to trigger the hydraulic fracturing process.

We then analyze a specific model problem, the saturated Gierer Meinhardt problem, where we demonstrate dynamic patterns for a variety of parameters and curve geometries.

A difference scheme and computational results for a model problem, the Prandtl boundary layer equations describing flow over a semi-infinite flat plate are also presented.

In the second model problem, the objectives are to maximize the axial and hoop rigidities and minimize the mass of a graphite/epoxy cylindrical pressure vessel subject to the constraint that the failure pressure be greater than a prescribed value.

The acoustic response of strained nonpremixed flames is investigated using as a canonical model problem the planar counterflow configuration subject to small harmonic fluctuations of the stagnation-point pressure and strain rate.

After demonstrating its effectiveness for a model problem, the iterative scheme is applied to solve the regularized internal wave model using a pseudo-spectral method for the propagation of a single internal solitary wave and the head-on collision between two solitary waves of different wave amplitudes.

For each of the model problems, the microscale stresses are utilized to perform a direct micromechanical failure analysis.

Results are obtained for three analytically or semi-analytically solvable model problems, the first two being one-dimensional Stefan problems, the third a free droplet evaporation problem.

In our model problems the matrix K ‾ in (32) is invertible, and the first line of (31) yields u ∼ = K ‾ - 1 (f ‾ - B ‾ T λ ).

The crucial item of the DG formulation of the model problem is the treatment of the convection part.

The boundary value problem is analyzed by a localization method and the investigation of the model problem in the half-space.