Combining boundary‐conforming finite element meshes on moving domains using a sliding mesh approach

Moving Particles Through a Finite Element Mesh

We present a new numerical technique for modeling the flow around multiple objects moving in a fluid. The method tracks the dynamic interaction between each particle and the fluid. The movements of the fluid and the object are directly coupled. A background mesh is designed to fit the geometry of the overall domain. The mesh is designed independently of the presence of the particles except in t...

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 ...

Moving Mesh Finite Element Methods Based on Harmonic Maps

This paper is devoted to the applications of a class of moving mesh nite element methods based on harmonic maps. We review some recent work of the authors on solving PDES, variational inequalities and optimal control problems by use of the moving mesh techniques.

Eecient Mesh Partitioning for Adaptive Hp Finite Element Meshes

Moving mesh finite element method for unsteady Navier-Stokes flow

In this paper, we use moving mesh fintie element method based upon 4P1 − P1 element to solve the time-dependent Navier-Stokes equations in 2D. Twolayer nested meshes are used including velocity mesh and pressure mesh, and velocity mesh can be obtained by globally refining pressure mesh. We use hierarchy geometry tree to store the nested meshes. This data structure make convienence for adaptive ...