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The method is demonstrated by solving a test problem.
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The usefulness of the proposed approach has been demonstrated by solving a set of test problems.
The effectiveness of the method is checked by solving a variety of available test problems found in the literature as well as several new three-dimensional solutions.
In the following we explore the properties of the new ADER-WENO finite volume scheme by solving a wide set of test problems belonging to four different systems of equations: the classical Euler equations, the relativistic hydrodynamics (RHD) and magnetohydrodynamics (RMHD) equations and the Baer-Nunziato equations for compressible two-phase flows.
The accuracy and convergence of the NIGFEM are tested by solving a benchmark problem.
The scheme is tested by solving a steady state problem in the non-equilibrium condensate.
Here a modified genetic algorithm using quasi-random sequences in the initial population is tested by solving a large number of continuous benchmark problems from the literature.
The model was tested by solving a dynamic cell formation problem and it was able to find the optimal solution found in the literature.
The feasibility test is achieved by solving an LP problem with a blank objective function (2) min t 0 ¯ subjected to: (3) t ≥ 0 ¯ N S rref ⋅ t ≥ 0 ¯ for unconstrained fluxes N S rref ⋅ t > 0 ¯ for FAF N S rref ⋅ t = 0 ¯ for IFF The values in vector t are by default zero or greater because v ≥ 0 and the coefficients contained in the pivot rows of NS rref are either zero or one.
The performance of the proposed scheme is studied by solving several test cases.
Feasibility and validity of the proposed method were evaluated by solving several test problems using enumerative method and comparing them with results of the proposed GA.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com