It is found that compared with existing methods, solutions with lower weights have been obtained with an acceptable efficiency in both symmetry and symmetry-balance constraint cases.
Using this method, solutions are designed with the active input of the people who will use them the technology is created in response to their actual needs and desires, not in the vacuum of a far-off laboratory.
The lattice Boltzmann method solutions were compared with analytical results.
Table 1 shows the numerical results for various number of meshes, and present method solutions are compared with the results in Refs. [28] and [30].
The formulations are compared with a finite element method solution and with a rectilinear cascade model in configurations with no mean flow.
On the other hand, for lower values of γ, the solution method resulting solutions with bigger satisfaction degrees for some objectives with higher importance levels than others.
b Comparison of the Lax method result with the exact solution showing numerical distortion dissipation.
For the relatively simple offline scenario, the IDVD-method solution is compared with the Legendre Gauss Lobatto pseudo-spectral (LGLPS) method solution.
These solutions have been obtained using CAVEAT, a three-dimensional arbitrary Lagrangian/Eulerian (ALE) hydrodynamics code that employs a Godunov method of solution with an approximate Riemann solver.
Discretization of water saturation equation using standard finite element method produces solution with spatial oscillations due to its hyperbolic nature.
