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This paper presents efficient second-order kinetic schemes on unstructured meshes for both compressible unsteady and incompressible steady flows.
Numerical results are presented to show how our scheme works for preserving positivity on various distorted meshes for both smooth and non-smooth highly anisotropic solutions.
The accuracy of the numerical procedure has been verified by systematically comparing solutions obtained using unstructured meshes with perfectly orthogonal meshes for both two-dimensional and three-dimensional geometries.
To guarantee the accuracy of the FE results, a sensitivity analysis was performed with a mesh refinement in order to achieve a convergence towards a minimum of the potential energy, with a 1% tolerance between consecutive meshes, for both the healthy and implanted models.
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Coldwell Banker, the real estate company, has developed a Dash application that meshes for-sale data with GPS locations.
Parametric models of geometry and FE-meshes for both types of weldments are developed in this way, which allows variation of parameters governing shape of the weld profile and loading conditions.
Fluid injection rate and the width of the mesh for both experiments are set to 0.05 ml/min and 1 cm, respectively.
The coupled electromechanical problem is solved sequentially using the same finite element mesh for both problems.
The mesh size both for the lumen and the wall was selected after performing a mesh (face size) sensitivity analysis.
Finally, some results are also compared with those obtained by a finite element model to demonstrate the usefulness of these criteria to find the optimal mesh size for both media.
Specifically, we offer in-depth discussion of the organization and layout of the mesh systems for both fluid and interface representations, local adaptive refinement on two-dimensional/three-dimensional (2D/3D) Cartesian grids, and multi-level domain decomposition method that utilizes Hilbert space filling curves for parallel processing strategy.
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