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The code is verified using the manufactured solution technique and validated through documented simple experiments.
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Calculations of the characteristics were conducted and investigated using the manufactured test bearings.
Using a manufactured solution, a mixed formulation of the Cahn Hilliard equation and the direct discretisation of the weak form, which requires a C1-continuous approximation, are compared in terms of convergence rates.
The order of convergence of the method is then verified and compared with standard methods using a manufactured solution.
The manufactured solutions are described in detail.
Linear and non-linear schemes are constructed, and their accuracy is tested with the method of the manufactured solutions.
The manufactured solutions we present are specifically designed to test the terms and couplings in the Euler equations that are relevant to these phenomena.
The convergence of the schemes for both smooth and non-smooth solutions was also investigated using the method of manufactured solutions (MMS) for multidimensional problems and a 1D semi-analytical benchmark whose solution contains a strongly discontinuous first derivative.
Accuracy of the flow solver for transport is demonstrated using the method of manufactured solutions.
The rate of convergence is verified using the method of manufactured solutions.
The different discretizations are evaluated using the method of manufactured solutions solved with Newton's method and Jacobian-Free Newton Krylov.
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