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In this work, TO is based on the SIMP method on unstructured tetrahedral meshes.
The solver uses a level set/finite element method on unstructured tetrahedral meshes.
An efficient finite element method on unstructured meshes is introduced to cope with the complex geometry of the solid surfaces.
The equations are discretized by a finite-element method on unstructured grids using the well known Taylor Hood element.
The tests include the geometric multigrid method on structured grids as well as the algebraic grid method on unstructured grids.
Multiple advancements of the dimensionally un-split, flux-based geometrical Volume-of-Fluid method on unstructured meshes are proposed.
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The whole procedure is designed in the framework of finite-volume methods on unstructured grids.
The technique is to be used with high-order methods on unstructured, straight-sided element meshes.
This paper addresses the issue of constructing non-oscillatory, higher than second order, fluctuation splitting methods on unstructured triangular meshes.
Liu, C.-W. Shu, Hierarchical reconstruction for discontinuous Galerkin methods on unstructured grids with a WENO type linear reconstruction and partial neighboring cells, J. Comput.
The performance of these new methods are compared to classic solution methods on unstructured 2D and 3D meshes for a variety of simple and complex test cases.
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