We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Research on the Meshless Solving Algorithm for 3D Steady Convection-Diffusion Problems.
- Authors
ZHANG Xiao-hua; DENG Ji-heng
- Abstract
The meshless method is a numerical algorithm for the simulation of flow fields in complicated shapes and solves fluid mechanics problems without grids. In order to improve the computation efficiency of meshless methods based on the Galekrin weak integration form for solving 3D steady convection-diffusion problems, a meshless shape function was proposed based on convex-polyhedral nodal influence domain in the discrete space. Then with a properly selected factor of nodal influence radius, the node-searching process was avoided and the band? width of the stiffness matrix for the system was reduced. With a factor of nodal influence radius at 1.01 during the calculation, the shape function of the meshless method almost possesses interpolation properties and the imposition of essential boundary conditions is simplified as that for the FEM. The numerical results of 2 exemplary steady convection-diffusion problems for 3D cubic regions show that: compared with the traditional meshless methods, the present meshless method based on convex-polyhedral nodal influence domain enables the computing time to be reduced by up to 42% without impairing the calculation accuracy. Finally, in the cases that both the computation efficiency and the accuracy are highly demanded, this meshless method based on convex-polyhedral nodal influence domain is suggested for the solution of 3D steady convection-diffusion problems.
- Subjects
MESHFREE methods; TRANSPORT equation; FLUID mechanics; ALGORITHM research; GALERKIN methods; FINITE element method
- Publication
Applied Mathematics & Mechanics (1000-0887), 2014, Vol 35, Issue 11, p1249
- ISSN
1000-0887
- Publication type
Article
- DOI
10.3879/j.issn.1000-0887.2014.11.008