In recent years, the domain of fast flow field prediction has been vastly dominated by pixel-based convolutional neural networks. Yet, advent graph networks (GCNNs) attracted considerable attention in computational fluid dynamics (CFD) community. this contribution, we proposed a GCNN structure as surrogate model for laminar around two-dimensional (2D) obstacles. Unlike traditional convolution o...

A method is presented to recover nearly optimal nite element meshes represented by mesh density functions described by a few parameters. The density representation of nite element meshes is part of a methodology for adaptive solution of linear or non linear parameter dependent problems allowing easy optimization , storage, and comparison of meshes. This gives the possibility of easy prediction ...

In this paper, the flow-field of an incompressible viscous flow past a solid-sphere at low Reynolds numbers (up to 270) is investigated numerically. In order to extend the capabilities of the finite volume method, the boundary (body) fitted coordinates (BFC) method is used. Transformation of the partial differential equations to algebraic relations is based on the finite-volume method with coll...

In this paper, the flow-field of an incompressible viscous flow past a solid-sphere at low Reynolds numbers (up to 270) is investigated numerically. In order to extend the capabilities of the finite volume method, the boundary (body) fitted coordinates (BFC) method is used. Transformation of the partial differential equations to algebraic relations is based on the finite-volume method with coll...

Angle Based Flattening is a robust parameterization method that finds a quasi-conformal mapping by solving a non-linear optimization problem. We take advantage of a characterization of convex planar drawings of triconnected graphs to introduce new boundary constraints. This prevents boundary intersections and avoids post-processing of the parameterized mesh. We present a simple transformation t...

A fifth order weighted essentially non-oscillatory (WENO) fast sweeping method is designed in this paper, extending the result of the third order WENO fast sweeping method in J. Sci. Comput. 29, 25–56 (2006) and utilizing the two approaches of accurate inflow boundary condition treatment in J. Comput. Math. 26, 1–11 (2008), which allows the usage of Cartesian meshes regardless of the domain bou...

For simplicity, we limit our discussion to simple meshes, which are homeomorphic to a triangulation of a sphere. Yet, most of the techniques presented here are applicable, or have been extended to, more general topologies, including meshes with borders, handles, non-manifold vertices and edges, non-triangular faces [Ross99, GBTS99, RoCa99, ToGo98, RSS01, KRS99, BPZ99, IsSn00, Lo&02]. Hence, we ...

We develop a new optimisation technique that combines multiresolution subdivision surfaces for boundary description with immersed finite elements for the discretisation of the primal and adjoint problems of optimisation. Similar to wavelets multiresolution surfaces represent the domain boundary using a coarse control mesh and a sequence of detail vectors. Based on the multiresolution decomposit...

In this paper convergence on equidistributing meshes is investigated. Equidistributing meshes, or more generally approximate equidistributing meshes, are constructed through the well-known equidistribution principle and a so-called adaptation (or monitor) function which is defined based on estimates on interpolation error for polynomial preserving operators. Detailed convergence analysis is giv...