Sentence examples for benchmark solutions and the from inspiring English sources
Numerical examples are presented which are compared with the benchmark solutions and the experimental measurements.
Differences between the benchmark solutions and the analytic expressions based on the refined theory and the classical shell theory are analysed and discussed.
The convergence rate of each method was acquired by observing the change in the error between a high resolution benchmark solution and the approximate solution, with mesh refinement.
Predictions for radiative transfer using the Scaled SLW model are compared to line-by-line benchmark solutions, and predictions using the Rank Correlated SLW model and SLW Reference Approach.
The capability of this approach is verified against the benchmark solutions, and validated by comparison with the available experimental results for three laminate layups with an open hole under tension and compression.
The FEM results are compared with both benchmark solutions from literature and the results obtained using the Navier method that provides the analytical solution for simply-supported structures subjected to sinusoidal pressure loads.
Afterwards, the verification and validation phases of the fire field model dealt with and exhibit comparisons to analytical, manufactured or benchmark solutions for the verification phase and the development of a building-block approach for the validation phase.
Convergence results are shown for benchmark solutions of the advection, Euler, and Navier Stokes equations that demonstrate exponential convergence of the new method.
To further delineate the mathematical framework, several examples are presented, and the obtained results are verified by numerical analysis and some analytical benchmark solutions available in the literature.
Cases of combined conduction radiation are considered first and the results are compared with other benchmark solutions to validate the accuracy.
