Moving mesh finite element method for unsteady Navier-Stokes flow
نویسندگان
چکیده
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 mesh method and the construction of multigrid preconditioning. Seveval numerical problems are used to show the effect of moving mesh.
منابع مشابه
An AMG preconditioner for solving Navier-Stokes equations with moving mesh finite element method
In this paper, we apply an AMG prconditioner to solve the unsteady NavierStokes equations with moving mesh finite element method. 4P1 − P1 element pair is selected, which is based on the data structure of hierarchy geometry tree. We choose two-layer nested meshes including velocity mesh and pressure mesh. AMG preconditioners are designed for PDE solver and divergence-interpolation in moving mes...
متن کاملPARALLEL FINITE ELEMENT COMPUTATION OF 3D INCOMPRESSIBLE FLOWS ON MPPs
In this chapter we present numerical simulations of the Navier-Stokes equations with the stabilized finite element methods on the massively parallel CM-5 supercomputer. These computations are based on implicit methods and their implementations are based on the assumption that the mesh is unstructured. The use of matrix-free iterations eliminates the need to store element-level matrices, thus pr...
متن کاملAixsymmetric Stagnation Point Flow of a Viscous Fluid on a Moving Cylinder with Time Dependent Axial Velocity
The unsteady viscous flow in the vicinity of an axisymmetric stagnation point of an infinite moving cylinder with time-dependent axial velocity is investigated. The impinging free stream is steady with a strain rate k. An exact solution of the Navier-Stokes equations is derived in this problem. A reduction of these equations is obtained by use of appropriate transformations. The general self-si...
متن کاملSimulation of unsteady incompressible flows using temporal adaptation and dynamic remeshing
An implicit finite-element flow solver based on the Galerkin finite-element method is employed to study unsteady laminar flow past single and multiple objects. A fast dynamic remeshing technique is used to control the distribution of the mesh nodes during the unsteady simulation, thus minimizing (or even eliminating) the need for adding artificial dissipation terms. The quad-dominant mesh gener...
متن کاملUnsteady Incompressible Flow Simulation using Galerkin Finite Elements with Spatial/Temporal Adaptation
A new adaptive technique for the simulation of unsteady incompressible flows is presented. The initial mesh is generated based on a Cartesian grid with spatial decomposition and a simple optimization step to define the boundaries of the domain. This technique is fast and produces a quad-dominant mesh, while preserving the quality of the elements. Adaptive mesh refinement is performed based on t...
متن کامل