Unstructured, curved elements for the two-dimensional high order discontinuous control-volume/finite-element method

High-Order Discontinuous Galerkin Method on Hexahedral Elements for Aeroacoustics High-Order Discontinuous Galerkin Method on Hexahedral Elements for Aeroacoustics

A High Order Approximation of the Two Dimensional Acoustic Wave Equation with Discontinuous Coefficients

This paper concerns with the modeling and construction of a fifth order method for two dimensional acoustic wave equation in heterogenous media. The method is based on a standard discretization of the problem on smooth regions and a nonstandard method for nonsmooth regions. The construction of the nonstandard method is based on the special treatment of the interface using suitable jump conditio...

High Order Accurate Curved-element Implementation in OpenFOAM for Discontinuous Galerkin Method

A high order accurate discontinuous galerkin method based curvedelement implementation in OpenFOAM is presented in this work. The degree of freedom points on origin straight side mesh are mapped to curvilinear edges by finding nearest points on boundary. Then the deformation are transported to the inner points by blended method. Based on the run-time dynamic code of OpenFOAM, we design a conven...

An Enhanced Finite Element method for Two Dimensional Linear Viscoelasticity using Complex Fourier Elements

In this paper, the finite element analysis of two-dimensional linear viscoelastic problems is performed using quadrilateral complex Fourier elements and, the results are compared with those obtained by quadrilateral classic Lagrange elements. Complex Fourier shape functions contain a shape parameter which is a constant unknown parameter adopted to enhance approximation’s accuracy. Since the iso...

a high order approximation of the two dimensional acoustic wave equation with discontinuous coefficients

this paper concerns with the modeling and construction of a fifth order method for two dimensional acoustic wave equation in heterogenous media. the method is based on a standard discretization of the problem on smooth regions and a nonstandard method for nonsmooth regions.the construction of the nonstandard method is based on the special treatment of the interface using suitable jump condition...