Adaptive mesh strategies for the spectral element method

Towards adaptive mesh refinement for the spectral element solver Nek5000

When performing computational fluid dynamics (CFD) simulations of complex flows, the a priori knowledge of the flow physics and the location of the dominant flow features are usually unknown. For this reason, the development of adaptive remeshing techniques is crucial for large-scale computational problems. Some work has been made recently to provide Nek5000 with adaptive mesh refinement (AMR) ...

Parallel Implementation of the Spectral Element Method with Nonconforming Mesh

The Nonconforming Spectral Element Method (NSEM) solves PDEs in complex geometries with high accuracy, however, it is an expensive method. Since parallel computation is eeective in decreasing CPU time, a parallel algorithm for the NSEM is presented. Implementations on SGI Power Challenge using MPI are evaluated in terms of measured speedup and parallel eeciency for schemes of one element and mu...

Adaptive Meshes for the Spectral Element Method 3752

Fast Finite Element Method Using Multi-Step Mesh Process

This paper introduces a new method for accelerating current sluggish FEM and improving memory demand in FEM problems with high node resolution or bulky structures. Like most of the numerical methods, FEM results to a matrix equation which normally has huge dimension. Breaking the main matrix equation into several smaller size matrices, the solving procedure can be accelerated. For implementing ...

Adaptive Mesh Refinement for Elliptic Interface Problems Using the Non-conforming Immersed Finite Element Method

In this paper, an adaptive mesh refinement technique is developed and analyzed for the non-conforming immersed finite element (IFE) method proposed in [27]. The IFE method was developed for solving the second order elliptic boundary value problem with interfaces across which the coefficient may be discontinuous. The IFE method was based on a triangulation that does not need to fit the interface...