Mesh Construction with Prescribed Properties Near Boundary
نویسنده
چکیده
A quasi-conformal mapping of the parametric domain onto the underlying physical domain is used to generate a 2D structured mesh with required properties: grid line orthogonality and prescribed mesh point clustering near the domain boundary. The functions implementing the mapping are sought by solving the Dirichlet problem for the elliptic partial differential equations. An additional control for the cell shape is executed by introducing a local mapping. Example of the mesh near the airfoil is presented.
منابع مشابه
High-Order Finite Element Methods for Moving Boundary Problems with Prescribed Boundary Evolution
We introduce a framework for the design of finite element methods for two-dimensional moving boundary problems with prescribed boundary evolution that have arbitrarily high order of accuracy, both in space and in time. At the core of our approach is the use of a universal mesh: a stationary background mesh containing the domain of interest for all times that adapts to the geometry of the immers...
متن کاملFree Vibration Analysis of Orthotropic FGM Cylinders by a Mesh-Free Method
In this paper, free vibration analysis of orthotropic functionally graded material (FGM) cylinders was carried out by a Mesh-Free method. In this analysis, moving least squares shape functions are used for approximation of displacement field in the weak form of equilibrium equation. Essential boundary conditions are imposed by transformation method. In this simulation, an axisymmetric model is ...
متن کاملInterface and Boundary Schemes for High-Order Methods
High-order finite-difference methods show promise for delivering efficiency improvements in some applications of computational fluid dynamics. Their accuracy and efficiency are dependent on the treatment of boundaries and interfaces. Interface schemes that do not involve halo nodes offer several advantages. In particular, they are an effective means of dealing with mesh nonsmoothness, which can...
متن کاملA stitching method for the generation of unstructured meshes for use with co-volume solution techniques
The successful implementation of co-volume time-domain solution techniques requires the use of high quality, smooth dual meshes. The generation of Delaunay–Voronoı̈ diagrams with these properties, for two-dimensional domains of complicated geometrical shape, is considered. In the adopted approach, near-boundary regions are discretised according to prescribed criteria and the remainder of the com...
متن کاملInterior Distance Using Barycentric Coordinates
This paper introduces a framework for defining a shape-aware distance measure between any two points in the interior of a surface mesh. Our framework is based on embedding the surface mesh into a high-dimensional space in a way that best preserves boundary distances between vertices of the mesh, performing a mapping of the mesh volume into this high-dimensional space using barycentric coordinat...
متن کامل